ORIGINAL_ARTICLE
Stochastic differential inclusions of semimonotone type in Hilbert spaces
In this paper, we study the existence of generalized solutions for
the infinite dimensional nonlinear stochastic differential
inclusions $dx(t) \in F(t,x(t))dt +G(t,x(t))dW_t$ in which the multifunction $F$
is semimonotone and hemicontinuous and the operator-valued multifunction $G$ satisfies a Lipschitz condition.
We define the It\^{o} stochastic integral of operator set-valued stochastic processes
with respect to the cylindrical Brownian motion on separable Hilbert spaces.
Then, we generalize the existence results for
differential inclusions in [H. Abedi and R. Jahanipur, Nonlinear differential inclusions of semimonotone and
condensing type in Hilbert spaces,
\textit{Bull. Korean Math. Soc.},
{52} (2015), no. 2, 421--438.] to the corresponding stochastic differential inclusions
using the methods discussed in [R. Jahanipur, Nonlinear functional differential equations of monotone-type in
Hilbert spaces, {\it Nonlinear Analysis} {\bf 72} (2010), no. 3-4, 1393--1408,
R. Jahanipur, Stability of stochastic delay evolution equations with monotone
nonlinearity, {\it Stoch. Anal. Appl.}, {\bf 21} (2003), 161--181, and
R. Jahanipur, Stochastic functional evolution equations with monotone
nonlinearity: existence and stability of the mild solutions, {\it J. Differential Equations} {\bf 248} (2010), no. 5, 1230--1255.]
http://bims.iranjournals.ir/article_609_1f6207d995c810c1dfea87b7aad3943e.pdf
2015-04-29T11:23:20
2018-11-15T11:23:20
291
306
Stochastic differential inclusions
Stochastic set-valued integrals
Generalized solutions
Semimonotone and hemicontinuous set-valued process
H.
Abedi
h.abedi7@gmail.com
true
1
University of Kashan
University of Kashan
University of Kashan
LEAD_AUTHOR
ORIGINAL_ARTICLE
Periodic solutions of fourth-order delay differential equation
In this paper the periodic solutions of fourth order delay differential equation of the form $\ddddot{x}(t)+a\dddot{x}(t)+f(\ddot{x}(t-\tau(t)))+g(\dot{x}(t-\tau(t)))+h({x}(t-\tau(t)))=p(t)$ is investigated. Some new positive periodic criteria are given.
http://bims.iranjournals.ir/article_610_0669d6cfade607a09955798000b786fb.pdf
2015-04-01T11:23:20
2018-11-15T11:23:20
307
314
Fourth-order delay differential equation
periodic solutions
S.
Balamuralitharan
balamurali.maths@gmail.com
true
1
SRM UNIVERSITY,
SRM UNIVERSITY,
SRM UNIVERSITY,
LEAD_AUTHOR
ORIGINAL_ARTICLE
On group equations
Suppose $f$ is a map from a non-empty finite set $X$ to a finite group $G$. Define the map $\zeta^f_G: G\longrightarrow \mathbb{N}\cup \{0\}$ by $g\mapsto |f^{-1}(g)|$. In this article, we show that for a suitable choice of $f$, the map $\zeta^f_G$ is a character. We use our results to show that the solution function for the word equation $w(t_1,t_2,\dots,t_n)=g$ ($g\in G$) is a character, where $w(t_1,t_2,\dots,t_n)$ denotes the product of $t_1,t_2,\dots,t_n,t_1^{-1},t_2^{-1},\dots,t_n^{-1}$ in a randomly chosen order.
http://bims.iranjournals.ir/article_611_12adc2b3a8b377f26a5c5fcccd2a6e5e.pdf
2015-04-01T11:23:20
2018-11-15T11:23:20
315
324
finite groups
word equations
group characters
S. K.
Prajapati
skprajapati.iitd@gmail.com
true
1
Postdoctoral Fellow, Indian Statistical Institute Bangalore, India
Postdoctoral Fellow, Indian Statistical Institute Bangalore, India
Postdoctoral Fellow, Indian Statistical Institute Bangalore, India
LEAD_AUTHOR
R.
Sarma
ritumoni@maths.iitd.ac.in
true
2
Assistant Professor in Indian Institute of Technology Delhi, India.
Assistant Professor in Indian Institute of Technology Delhi, India.
Assistant Professor in Indian Institute of Technology Delhi, India.
AUTHOR
ORIGINAL_ARTICLE
On convolution properties for some classes of meromorphic functions associated with linear operator
In this paper, we defined two classes $S_{p}^{\ast }(n,\lambda ,A,B)$ and\\ $ K_{p}(n,\lambda ,A,B)$ of meromorphic $p-$valent functions associated with a new linear operator. We obtained convolution properties for functions in these classes.
http://bims.iranjournals.ir/article_612_590cf75895c8f28ff23ee8a78d859103.pdf
2015-04-01T11:23:20
2018-11-15T11:23:20
325
332
meromorphic functions
Subordination
Hadamard product
Linear operator
A. O.
Mostafa
adelaeg254@yahoo.com
true
1
Mansoura University
Mansoura University
Mansoura University
LEAD_AUTHOR
M. K.
Aouf
mkaouf127@yahoo.com
true
2
Mansoura University
Mansoura University
Mansoura University
AUTHOR
ORIGINAL_ARTICLE
Sinc-Galerkin method for solving a class of nonlinear two-point boundary value problems
In this article, we develop the Sinc-Galerkin method based on double exponential transformation for solving a class of weakly singular nonlinear two-point boundary value problems with nonhomogeneous boundary conditions. Also several examples are solved to show the accuracy efficiency of the presented method. We compare the obtained numerical results with results of the other existing methods in the literature. The results of this paper confirm that our method is very fast, simple and considerably accurate.
http://bims.iranjournals.ir/article_613_9389951776f7625517a1549fb3b42656.pdf
2015-04-01T11:23:20
2018-11-15T11:23:20
333
352
Sinc-Galerkin method
double exponential transformation
nonlinear singular boundary value problems
ordinary differential equation
J.
Rashidinia
rashidinia@iust.ac.ir
true
1
Iran University of Science and Technology.
Iran University of Science and Technology.
Iran University of Science and Technology.
LEAD_AUTHOR
M.
Nabati
m_nabati@iust.ac.ir
true
2
Iran University of Science and Technology
Iran University of Science and Technology
Iran University of Science and Technology
AUTHOR
S.
Ahanj
sara_ahj@yahoo.com
true
3
Iran University of Science and Technology
Iran University of Science and Technology
Iran University of Science and Technology
AUTHOR
ORIGINAL_ARTICLE
Linear Weingarten hypersurfaces in a unit sphere
In this paper, by modifying Cheng-Yau$'$s technique to complete hypersurfaces in $S^{n+1}(1)$, we prove a rigidity theorem under the hypothesis of the mean curvature and the normalized scalar curvature being linearly related which improve the result of [H. Li, Hypersurfaces with constant scalar curvature in space forms, {\em Math. Ann.} {305} (1996), 665--672].
http://bims.iranjournals.ir/article_614_467b351f3229b132f0998ad7225bab2f.pdf
2015-04-01T11:23:20
2018-11-15T11:23:20
353
362
Linear Weingarten hypersurface
generalized maximum principle
rigidity
theorem
X.
Chao
xlchao@seu.edu.cn
true
1
Southeast University, 210096, Nanjing, P. R. China
Southeast University, 210096, Nanjing, P. R. China
Southeast University, 210096, Nanjing, P. R. China
LEAD_AUTHOR
ORIGINAL_ARTICLE
The distributional Henstock-Kurzweil integral and measure differential equations
In the present paper, measure differential equations involving the distributional Henstock-Kurzweil integral are investigated. Theorems on the existence and structure of the set of solutions are established by using Schauder$^\prime s$ fixed point theorem and Vidossich theorem. Two examples of the main results paper are presented. The new results are generalizations of some previous results in the literatures.
http://bims.iranjournals.ir/article_615_8acffba2959061d65bbf251eaa1fa65b.pdf
2015-04-01T11:23:20
2018-11-15T11:23:20
363
374
Distributional Henstock-Kurzweil integral
measure differential equation
Henstock-Stieltjes
integral
distributional derivative
H.
Zhou
linyizhouhao@126.com
true
1
ollege of Science,
Hohai University, Nanjing 210098, P. R. China
ollege of Science,
Hohai University, Nanjing 210098, P. R. China
ollege of Science,
Hohai University, Nanjing 210098, P. R. China
LEAD_AUTHOR
G.
Ye
yegj@hhu.edu.cn
true
2
College of Science, Hohai University, Nanjing 210098, P. R. China
College of Science, Hohai University, Nanjing 210098, P. R. China
College of Science, Hohai University, Nanjing 210098, P. R. China
AUTHOR
W.
Liu
liuw626@163.com
true
3
College of Science, Hohai University, Nanjing 210098, P. R. China
College of Science, Hohai University, Nanjing 210098, P. R. China
College of Science, Hohai University, Nanjing 210098, P. R. China
AUTHOR
O.
Wang
18751985160@163.com
true
4
College of Science, Hohai University, Nanjing 210098, P. R. China
College of Science, Hohai University, Nanjing 210098, P. R. China
College of Science, Hohai University, Nanjing 210098, P. R. China
AUTHOR
ORIGINAL_ARTICLE
Almost power-Hermitian rings
In this paper we define a new type of rings ”almost powerhermitian rings” (a generalization of almost hermitian rings) and establish several sufficient conditions over a ring R such that, every regular matrix admits a diagonal power-reduction.
http://bims.iranjournals.ir/article_616_9038a415f2fd2179c7f8050f766797db.pdf
2015-04-01T11:23:20
2018-11-15T11:23:20
375
380
Diagonal power-reduction
exchange ring
regular ring
power-substitution property
N.
Ashrafi
ashrafi49@yahoo.com
true
1
Faculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, Iran
Faculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, Iran
Faculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, Iran
LEAD_AUTHOR
M.
Sheibani
m.sheibani1@gmail.com
true
2
Faculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, Iran
Faculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, Iran
Faculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, Iran
AUTHOR
H.
Dehghany
hajardehghany90@gmail.com
true
3
Faculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, Iran
Faculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, Iran
Faculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, Iran
AUTHOR
ORIGINAL_ARTICLE
On spectral radius of strongly connected digraphs
It is known that the directed cycle of order $n$ uniquely achieves the minimum spectral
radius among all strongly connected digraphs of order $n\ge 3$.
In this paper, among others, we determine the digraphs which achieve the second, the third
and the fourth minimum spectral radii respectively among strongly connected
digraphs of order $n\ge 4$.
http://bims.iranjournals.ir/article_617_ba726fe1c4c511605c20112260ca365b.pdf
2015-04-01T11:23:20
2018-11-15T11:23:20
381
387
Spectral radius
strongly connected digraph
nonnegative irreducible matrix
bicyclic digraph
J.
Li
lijp06@163.com
true
1
Department of Mathematics, South China Normal University,
and
Faculty of Applied
Mathematics,
Guangdong University of Technology
Department of Mathematics, South China Normal University,
and
Faculty of Applied
Mathematics,
Guangdong University of Technology
Department of Mathematics, South China Normal University,
and
Faculty of Applied
Mathematics,
Guangdong University of Technology
AUTHOR
B.
Zhou
zhoubo@scnu.edu.cn
true
2
Department of
Mathematics, South China Normal University, Guangzhou 510631, P. R. China
Department of
Mathematics, South China Normal University, Guangzhou 510631, P. R. China
Department of
Mathematics, South China Normal University, Guangzhou 510631, P. R. China
LEAD_AUTHOR
ORIGINAL_ARTICLE
Uncountably many bounded positive solutions for a second order nonlinear neutral delay partial difference equation
In this paper we consider the second order nonlinear neutral delay partial difference equation $\Delta_n\Delta_m\big(x_{m,n}+a_{m,n}x_{m-k,n-l}\big)+ f\big(m,n,x_{m-\tau,n-\sigma}\big)=b_{m,n}, m\geq m_{0},\, n\geq n_{0}.$Under suitable conditions, by making use of the Banach fixed point theorem, we show the existence of uncountably many bounded positive solutions for the above partial difference equation. Three nontrivial examples are given to illustrate the advantages of our results.
http://bims.iranjournals.ir/article_618_f85997965fd591bde2437b36149d7fd1.pdf
2015-04-01T11:23:20
2018-11-15T11:23:20
389
405
Uncountably many bounded
positive solutions
second order nonlinear neutral delay partial
difference equation
Banach fixed point theorem
Z.
Liu
zeqingliu@163.com
true
1
Liaoning Normal University
Liaoning Normal University
Liaoning Normal University
AUTHOR
Z.
Wu
zhihuawu_dl@163.com
true
2
Liaoning Normal University
Liaoning Normal University
Liaoning Normal University
AUTHOR
J. S.
Ume
jsume@changwon.ac.kr
true
3
Department of Mathematics, Changwon National University
Department of Mathematics, Changwon National University
Department of Mathematics, Changwon National University
LEAD_AUTHOR
S. M.
Kang
smkang@gnu.ac.kr
true
4
Gyeongsang National University
Gyeongsang National University
Gyeongsang National University
AUTHOR
ORIGINAL_ARTICLE
Random coincidence point results for weakly increasing functions in partially ordered metric spaces
The aim of this paper is to establish random coincidence
point results for weakly increasing random operators in the setting
of ordered metric spaces by using generalized altering distance
functions. Our results present random versions and extensions of
some well-known results in the current literature.
http://bims.iranjournals.ir/article_619_396d1f2ed3aa9d2b238c83b851db8e48.pdf
2015-04-01T11:23:20
2018-11-15T11:23:20
407
422
Random coincidence point
altering distance function
partially
ordered metric space
A. R.
Khan
arahim@kfupm.edu.sa
true
1
Department of Mathematics and Statistics, King Fahd University of
Petroleum and Minerals, Dhahran, 3126, Saudia Arabia
Department of Mathematics and Statistics, King Fahd University of
Petroleum and Minerals, Dhahran, 3126, Saudia Arabia
Department of Mathematics and Statistics, King Fahd University of
Petroleum and Minerals, Dhahran, 3126, Saudia Arabia
LEAD_AUTHOR
N.
Hussain
nhusain@kau.edu.sa
true
2
Department of Mathematics, King Abdulaziz University, P.O.
Box 80203, Jeddah, 21589, Saudi Arabia
Department of Mathematics, King Abdulaziz University, P.O.
Box 80203, Jeddah, 21589, Saudi Arabia
Department of Mathematics, King Abdulaziz University, P.O.
Box 80203, Jeddah, 21589, Saudi Arabia
AUTHOR
N.
Yasmin
usyasmin@yahoo.com
true
3
Centre for Advanced Studies
in Pure and Applied Mathematics, Bahauudin Zakariya University, Multan, 60800, Pakistan
Centre for Advanced Studies
in Pure and Applied Mathematics, Bahauudin Zakariya University, Multan, 60800, Pakistan
Centre for Advanced Studies
in Pure and Applied Mathematics, Bahauudin Zakariya University, Multan, 60800, Pakistan
AUTHOR
N.
Shafqat
naeem781625@yahoo.com
true
4
entre for Advanced Studies
in Pure and Applied Mathematics, Bahauudin Zakariya University, Multan, 60800, Pakistan
entre for Advanced Studies
in Pure and Applied Mathematics, Bahauudin Zakariya University, Multan, 60800, Pakistan
entre for Advanced Studies
in Pure and Applied Mathematics, Bahauudin Zakariya University, Multan, 60800, Pakistan
AUTHOR
ORIGINAL_ARTICLE
The Artinian property of certain graded generalized local chohomology modules
Let $R=\oplus_{n\in \Bbb N_0}R_n$ be a Noetherian homogeneous ring with local base ring $(R_0,\frak{m}_0)$, $M$ and $N$ two finitely generated graded $R$-modules. Let $t$ be the least integer such that $H^t_{R_+}(M,N)$ is not minimax. We prove that $H^j_{\frak{m}_0R}(H^t_{R_+}(M,N))$ is Artinian for $j=0,1$. Also, we show that if ${\rm cd}(R_{+},M,N)=2$ and $t\in \Bbb N_0$, then $H^t_{\frak{m}_0R}(H^2_{R_+}(M,N))$ is Artinian if and only if $H^{t+2}_{\frak{m}_0R}(H^1_{R_+}(M,N))$ is Artinian.
http://bims.iranjournals.ir/article_620_5dcf718447115c1d4444aeb030bb8f56.pdf
2015-04-01T11:23:20
2018-11-15T11:23:20
423
428
Graded local cohomology modules
Artinian
modules
minimax
Y.
Gu
guyan@suda.edu.cn
true
1
Department of Mathematics, Soochow University
Department of Mathematics, Soochow University
Department of Mathematics, Soochow University
LEAD_AUTHOR
L.
Chu
chulizhong@suda.edu.cn
true
2
Department of Mathematics, Soochow University
Department of Mathematics, Soochow University
Department of Mathematics, Soochow University
AUTHOR
ORIGINAL_ARTICLE
On certain subclasses of univalent $p$-harmonic mappings
Inthis paper, the main aim is to introduce the class $mathcal{U}_p(lambda,alpha,beta,k_0)$ of $p$-harmonic mappings togetherwith its subclasses $mathcal{U}_p(lambda,alpha,beta,k_0)capmathcal {T}_p$ and $mathcal{U}_p(lambda,alpha,beta,k_0)capmathcal {T}_p^0$, andinvestigate the properties of the mappings in these classes. First,we give a sufficient condition for mappings to be in $mathcal{U}_p(lambda,alpha,beta,k_0)$ and also the characterization ofmappings in $mathcal {U}_p(lambda,alpha,beta,k_0)capmathcal{T}_p$ for $max{0,frac{lambda-frac{1}{2}}{lambda+1}}leqalphaleq lambda$. Second, we consider the starlikeness ofmappings in $mathcal {U}_p(lambda,alpha,beta,k_0)capmathcal{T}_p^0$ for $max{0,frac{lambda-frac{1}{2}}{lambda+1}}leqalphaleq lambda$. Third, extreme points of $mathcal{U}_p(lambda,alpha,beta,k_0)capmathcal {T}_p$ for$max{0,frac{lambda-frac{1}{2}}{lambda+1}}leq alphaleqlambda$ are found. The support points of $mathcal{U}_p(lambda,alpha,beta,k_0)capmathcal {T}_p$ for$max{0,frac{lambda-frac{1}{2}}{lambda+1}}leq alphaleqlambda$ and convolution of mappings in $mathcal{U}_p(lambda,alpha,beta,k_0)capmathcal {T}_p$ for$max{0,frac{lambda-frac{1}{2}}{lambda+1}}leq alphaleqlambda$ are also discussed.
http://bims.iranjournals.ir/article_621_d88bf78f4330420a24f1a321805a7cc7.pdf
2015-04-01T11:23:20
2018-11-15T11:23:20
429
451
$p$-harmonic mapping
uniform convexity
uniform starlikeness
extreme point
support point
J.
Qiao
mathqiao@126.com
true
1
Department of Mathematics,
Hebei University, Baoding, Hebei 071002, People&#039;s Republic of China
Department of Mathematics,
Hebei University, Baoding, Hebei 071002, People&#039;s Republic of China
Department of Mathematics,
Hebei University, Baoding, Hebei 071002, People&#039;s Republic of China
LEAD_AUTHOR
J.
Chen
jiqiang516@163.com
true
2
School of Science,
Hebei University of Engineering, Handan, Hebei 056038, People's
Republic of China
School of Science,
Hebei University of Engineering, Handan, Hebei 056038, People's
Republic of China
School of Science,
Hebei University of Engineering, Handan, Hebei 056038, People's
Republic of China
AUTHOR
M.
Shi
mingyulj08@163.com
true
3
Department of Mathematics,
Hebei University, Baoding, Hebei 071002, People's Republic of China
Department of Mathematics,
Hebei University, Baoding, Hebei 071002, People's Republic of China
Department of Mathematics,
Hebei University, Baoding, Hebei 071002, People's Republic of China
AUTHOR
ORIGINAL_ARTICLE
On constant products of elements in skew polynomial rings
Let $R$ be a reversible ring which is $\alpha$-compatible for an endomorphism $\alpha$ of $R$ and $f(X)=a_0+a_1X+\cdots+a_nX^n$ be a nonzero skew polynomial in $R[X;\alpha]$. It is proved that if there exists a nonzero skew polynomial $g(X)=b_0+b_1X+\cdots+b_mX^m$ in $R[X;\alpha]$ such that $g(X)f(X)=c$ is a constant in $R$, then $b_0a_0=c$ and there exist nonzero elements $a$ and $r$ in $R$ such that $rf(X)=ac$. In particular, $r=ab_p$ for some $p$, $0\leq p\leq m$, and $a$ is either one or a product of at most $m$ coefficients from $f(X)$. Furthermore, if $b_0$ is a unit in $R$, then $a_1,a_2,\cdots, a_n$ are all nilpotent. As an application of the above result, it is proved that if $R$ is a weakly 2-primal ring which is $\alpha$-compatible for an endomorphism $\alpha$ of $R$, then a skew polynomial $f(X)$ in $R[X;\alpha]$ is a unit if and only if its constant term is a unit in $R$ and other coefficients are all nilpotent.
http://bims.iranjournals.ir/article_622_9f1ac6891d2a8dd6f84d434909052144.pdf
2015-04-29T11:23:20
2018-11-15T11:23:20
453
462
Constant products
skew polynomial rings
reversible rings
weakly 2-primal rings
W.
Chen
wxchen5888@163.com
true
1
School of Mathematics and Information Science, Shandong Institute of Business
and Technology, Yantai, 264005)
School of Mathematics and Information Science, Shandong Institute of Business
and Technology, Yantai, 264005)
School of Mathematics and Information Science, Shandong Institute of Business
and Technology, Yantai, 264005)
LEAD_AUTHOR
ORIGINAL_ARTICLE
Conformal mappings preserving the Einstein tensor of Weyl manifolds
In this paper, we obtain a necessary and sufficient condition for a conformal mapping between two Weyl manifolds to preserve Einstein tensor. Then we prove that some basic curvature tensors of $W_n$ are preserved by such a conformal mapping if and only if the covector field of the mapping is locally a gradient. Also, we obtained the relation between the scalar curvatures of the Weyl manifolds related by a conformal mapping preserving the Einstein tensor with a gradient covector field. Then, we prove that a Weyl manifold $W_n$ and a flat Weyl manifold $\tilde{W}_n$, which are in a conformal correspondence preserving the Einstein tensor are Einstein-Weyl manifolds. Moreover, we show that an isotropic Weyl manifold is an Einstein-Weyl manifold with zero scalar curvature and we obtain that a Weyl manifold $W_n$ and an isotropic Weyl manifold related by the conformal mapping preserving the Einstein tensor are Einstein-Weyl manifolds.
http://bims.iranjournals.ir/article_623_d097ee44c57dfd39ee745fc63874c1bf.pdf
2015-04-01T11:23:20
2018-11-15T11:23:20
463
475
Weyl manifold
Einstein tensor
conformal mapping
flat Weyl manifold
isotropic Weyl manifold
M.
Gürlek
mgurlek@itu.edu.tr
true
1
Istanbul Technical university
Maslak
Istanbul Technical university
Maslak
Istanbul Technical university
Maslak
AUTHOR
G.
Çivi
civi@itu.edu.tr
true
2
Istanbul technical university
Faculty of Science and letters, dept . of Math., maslak
Istanbul technical university
Faculty of Science and letters, dept . of Math., maslak
Istanbul technical university
Faculty of Science and letters, dept . of Math., maslak
LEAD_AUTHOR
ORIGINAL_ARTICLE
On difference sequence spaces defined by Orlicz functions without convexity
In this paper, we first define spaces of single difference sequences defined by a sequence of Orlicz functions without convexity and investigate their properties. Then we extend this idea to spaces of double sequences and present a new matrix theoretic approach construction of such double sequence spaces.
http://bims.iranjournals.ir/article_624_f4c7b7c1145153b4c782097906dcbcf9.pdf
2015-04-01T11:23:20
2018-11-15T11:23:20
477
489
Difference sequence space
$K$-function
$F$-space
$AK$-space
Frechet space
H.
Dutta
hemen_dutta08@rediffmail.com
true
1
Department of Mathematics, Gauhati University,
Guwahati-781014, Assam, India
Department of Mathematics, Gauhati University,
Guwahati-781014, Assam, India
Department of Mathematics, Gauhati University,
Guwahati-781014, Assam, India
AUTHOR
L.
Kočinac
lkocinac@gmail.com
true
2
Univeristy of East Sarajevo
Bosnia and Herzegovina
Univeristy of East Sarajevo
Bosnia and Herzegovina
Univeristy of East Sarajevo
Bosnia and Herzegovina
LEAD_AUTHOR
ORIGINAL_ARTICLE
Explicit multiple singular periodic solutions and singular soliton solutions to KdV equation
Based on some stationary periodic solutions and stationary soliton solutions, one studies the general solution for the relative lax system, and a number of exact solutions to the Korteweg-de Vries (KdV) equation are first constructed by the known Darboux transformation, these solutions include double and triple singular periodic solutions as well as singular soliton solutions whose amplitude depend on some rational functions.
http://bims.iranjournals.ir/article_625_b2a5ddcacb911eb08615e742f7225ac1.pdf
2015-04-01T11:23:20
2018-11-15T11:23:20
491
498
Lax system
KdV
equation
Darboux transformation
singular periodic solution
Y.
Huang
huang11261001@163.com
true
1
Chuxiong Normal University
Chuxiong Normal University
Chuxiong Normal University
LEAD_AUTHOR
ORIGINAL_ARTICLE
On the non-split extension $2^{2n}{^{cdot}}Sp(2n,2)$
In this paper we give some general results on the non-splitextension group $overline{G}_{n} = 2^{2n}{^{cdot}}Sp(2n,2), ngeq2.$ We then focus on the group $overline{G}_{4} =2^{8}{^{cdot}}Sp(8,2).$ We construct $overline{G}_{4}$ as apermutation group acting on 512 points. The conjugacy classes aredetermined using the coset analysis technique. Then we determine theinertia factor groups and Fischer matrices, which are required forthe computations of the character table of $overline{G}_{4}$ bymeans of Clifford-Fischer Theory. There are two inertia factorgroups namely $H_{1} = Sp(8,2)$ and $H_{2} = 2^{7}{:}Sp(6,2),$ theSchur multiplier and hence the character table of the correspondingcovering group of $H_{2}$ were calculated. Using the information onconjugacy classes, Fischer matrices and ordinary and projectivetables of $H_{2},$ we concluded that we only need to use theordinary character table of $H_{2}$ to construct the character tableof $overline{G}_{4}.$ The Fischer matrices of $overline{G}_{4}$are all listed in this paper. The character table of$overline{G}_{4}$ is a $195 times 195$ complex valued matrix, ithas been supplied in the PhD Thesis of the firstauthor, which could be accessed online.
http://bims.iranjournals.ir/article_626_fbf7a9d839898e046b0c428064dd9515.pdf
2015-04-01T11:23:20
2018-11-15T11:23:20
499
518
Group extensions
symplectic group
character
table
inertia groups
Fischer matrices
A. B. M.
Basheer
ayoubbasheer@gmail.com
true
1
School of Mathematical Sciences, North-West University (Mafikeng)
School of Mathematical Sciences, North-West University (Mafikeng)
School of Mathematical Sciences, North-West University (Mafikeng)
LEAD_AUTHOR
J.
Moori
jamshid.moori@nwu.ac.za
true
2
North-West University
North-West University
North-West University
AUTHOR
ORIGINAL_ARTICLE
Application of measures of noncompactness to infinite system of linear equations in sequence spaces
G. Darbo [Rend. Sem. Math. Univ. Padova, 24 (1955) 84--92] used the measure of noncompactness to investigate operators whose properties can be characterized as being intermediate between those of contraction and compact operators. In this paper, we apply the Darbo's fixed point theorem for solving infinite system of linear equations in some sequence spaces.
http://bims.iranjournals.ir/article_627_feb3b9c527fe3048301249148495a3d7.pdf
2015-04-01T11:23:20
2018-11-15T11:23:20
519
527
Sequence spaces
matrix transformations
Hausdorff measure of noncompactness
Darbo's
fixed point theorem
infinite system of linear equations
A.
Alotaibi
mathker11@hotmail.com
true
1
Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia, and,
Operator Theory and its Applications Research Group, King Abdulaziz University, Jeddah, Saudi Arabia
Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia, and,
Operator Theory and its Applications Research Group, King Abdulaziz University, Jeddah, Saudi Arabia
Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia, and,
Operator Theory and its Applications Research Group, King Abdulaziz University, Jeddah, Saudi Arabia
AUTHOR
M.
Mursaleen
mursaleenm@gmail.com
true
2
Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India, and,
Operator Theory and its Applications Research Group, King Abdulaziz University, Jeddah, Saudi Arabia
Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India, and,
Operator Theory and its Applications Research Group, King Abdulaziz University, Jeddah, Saudi Arabia
Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India, and,
Operator Theory and its Applications Research Group, King Abdulaziz University, Jeddah, Saudi Arabia
LEAD_AUTHOR
S. A.
Mohiuddine
mohiuddine@gmail.com
true
3
Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia, and,
Operator Theory and its Applications Research Group, King Abdulaziz University, Jeddah, Saudi Arabia
Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia, and,
Operator Theory and its Applications Research Group, King Abdulaziz University, Jeddah, Saudi Arabia
Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia, and,
Operator Theory and its Applications Research Group, King Abdulaziz University, Jeddah, Saudi Arabia
AUTHOR
ORIGINAL_ARTICLE
Generalized Drazin inverse of certain block matrices in Banach algebras
Several representations of the generalized Drazin inverse of an anti-triangular block matrix in Banach algebra are given in terms of the generalized Banachiewicz--Schur form.
http://bims.iranjournals.ir/article_628_ac76307ab2166b9e759cb6eb26ddd98f.pdf
2015-04-01T11:23:20
2018-11-15T11:23:20
529
542
Generalized Drazin inverse
Schur
complement
block matrix
M. Z.
Kolundžija
mkolundzija@pmf.ni.ac.rs
true
1
University of Nis,
Faculty of Science and Mathematics
University of Nis,
Faculty of Science and Mathematics
University of Nis,
Faculty of Science and Mathematics
AUTHOR
D.
Mosić
dijana@pmf.ni.ac.rs
true
2
University of Niš,
Faculty of Science and Mathematics
University of Niš,
Faculty of Science and Mathematics
University of Niš,
Faculty of Science and Mathematics
LEAD_AUTHOR
D. S.
Djordjević
dragan@pmf.ni.ac.rs
true
3
University of Nis, Faculty of Science and Mathematics
University of Nis, Faculty of Science and Mathematics
University of Nis, Faculty of Science and Mathematics
AUTHOR
ORIGINAL_ARTICLE
Erratum: Applications of epi-retractable and co-epi-retractable modules
In this errata, we reconsider and modify two propositions and their corollaries which were written on epi-retractable and co-epi-retractable modules.
http://bims.iranjournals.ir/article_629_0fa67d26b80a82147d5fff272a9eb0f9.pdf
2015-04-01T11:23:20
2018-11-15T11:23:20
543
544
Epi-retractable modules
co-epi-retractable modules
Hereditary rings
H.
Mostafanasab
h.mostafanasab@gmail.com
true
1
University of Mohaghegh Ardabili
University of Mohaghegh Ardabili
University of Mohaghegh Ardabili
LEAD_AUTHOR