Bulletin of the Iranian Mathematical Society
text
article
2015
eng
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
41
v.
2
no.
2015
http://bims.iranjournals.ir/article_608_e5a8a77dae3c9cc057d6ea45a3f53496.pdf
Stochastic differential inclusions of semimonotone type in Hilbert spaces
H.
Abedi
University of Kashan
author
text
article
2015
eng
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.]
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
41
v.
2
no.
2015
291
306
http://bims.iranjournals.ir/article_609_1f6207d995c810c1dfea87b7aad3943e.pdf
Periodic solutions of fourth-order delay differential equation
S.
Balamuralitharan
SRM UNIVERSITY,
author
text
article
2015
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
41
v.
2
no.
2015
307
314
http://bims.iranjournals.ir/article_610_0669d6cfade607a09955798000b786fb.pdf
On group equations
S. K.
Prajapati
Postdoctoral Fellow, Indian Statistical Institute Bangalore, India
author
R.
Sarma
Assistant Professor in Indian Institute of Technology Delhi, India.
author
text
article
2015
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
41
v.
2
no.
2015
315
324
http://bims.iranjournals.ir/article_611_12adc2b3a8b377f26a5c5fcccd2a6e5e.pdf
On convolution properties for some classes of meromorphic functions associated with linear operator
A. O.
Mostafa
Mansoura University
author
M. K.
Aouf
Mansoura University
author
text
article
2015
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
41
v.
2
no.
2015
325
332
http://bims.iranjournals.ir/article_612_590cf75895c8f28ff23ee8a78d859103.pdf
Sinc-Galerkin method for solving a class of nonlinear two-point boundary value problems
J.
Rashidinia
Iran University of Science and Technology.
author
M.
Nabati
Iran University of Science and Technology
author
S.
Ahanj
Iran University of Science and Technology
author
text
article
2015
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
41
v.
2
no.
2015
333
352
http://bims.iranjournals.ir/article_613_9389951776f7625517a1549fb3b42656.pdf
Linear Weingarten hypersurfaces in a unit sphere
X.
Chao
Southeast University, 210096, Nanjing, P. R. China
author
text
article
2015
eng
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].
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
41
v.
2
no.
2015
353
362
http://bims.iranjournals.ir/article_614_467b351f3229b132f0998ad7225bab2f.pdf
The distributional Henstock-Kurzweil integral and measure differential equations
H.
Zhou
ollege of Science,
Hohai University, Nanjing 210098, P. R. China
author
G.
Ye
College of Science, Hohai University, Nanjing 210098, P. R. China
author
W.
Liu
College of Science, Hohai University, Nanjing 210098, P. R. China
author
O.
Wang
College of Science, Hohai University, Nanjing 210098, P. R. China
author
text
article
2015
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
41
v.
2
no.
2015
363
374
http://bims.iranjournals.ir/article_615_8acffba2959061d65bbf251eaa1fa65b.pdf
Almost power-Hermitian rings
N.
Ashrafi
Faculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, Iran
author
M.
Sheibani
Faculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, Iran
author
H.
Dehghany
Faculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, Iran
author
text
article
2015
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
41
v.
2
no.
2015
375
380
http://bims.iranjournals.ir/article_616_9038a415f2fd2179c7f8050f766797db.pdf
On spectral radius of strongly connected digraphs
J.
Li
Department of Mathematics, South China Normal University,
and
Faculty of Applied
Mathematics,
Guangdong University of Technology
author
B.
Zhou
Department of
Mathematics, South China Normal University, Guangzhou 510631, P. R. China
author
text
article
2015
eng
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 $n\ge 4$.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
41
v.
2
no.
2015
381
387
http://bims.iranjournals.ir/article_617_ba726fe1c4c511605c20112260ca365b.pdf
Uncountably many bounded positive solutions for a second order nonlinear neutral delay partial difference equation
Z.
Liu
Liaoning Normal University
author
Z.
Wu
Liaoning Normal University
author
J. S.
Ume
Department of Mathematics, Changwon National University
author
S. M.
Kang
Gyeongsang National University
author
text
article
2015
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
41
v.
2
no.
2015
389
405
http://bims.iranjournals.ir/article_618_f85997965fd591bde2437b36149d7fd1.pdf
Random coincidence point results for weakly increasing functions in partially ordered metric spaces
A. R.
Khan
Department of Mathematics and Statistics, King Fahd University of
Petroleum and Minerals, Dhahran, 3126, Saudia Arabia
author
N.
Hussain
Department of Mathematics, King Abdulaziz University, P.O.
Box 80203, Jeddah, 21589, Saudi Arabia
author
N.
Yasmin
Centre for Advanced Studies
in Pure and Applied Mathematics, Bahauudin Zakariya University, Multan, 60800, Pakistan
author
N.
Shafqat
entre for Advanced Studies
in Pure and Applied Mathematics, Bahauudin Zakariya University, Multan, 60800, Pakistan
author
text
article
2015
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
41
v.
2
no.
2015
407
422
http://bims.iranjournals.ir/article_619_396d1f2ed3aa9d2b238c83b851db8e48.pdf
The Artinian property of certain graded generalized local chohomology modules
Y.
Gu
Department of Mathematics, Soochow University
author
L.
Chu
Department of Mathematics, Soochow University
author
text
article
2015
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
41
v.
2
no.
2015
423
428
http://bims.iranjournals.ir/article_620_5dcf718447115c1d4444aeb030bb8f56.pdf
On certain subclasses of univalent $p$-harmonic mappings
J.
Qiao
Department of Mathematics,
Hebei University, Baoding, Hebei 071002, People&#039;s Republic of China
author
J.
Chen
School of Science,
Hebei University of Engineering, Handan, Hebei 056038, People's
Republic of China
author
M.
Shi
Department of Mathematics,
Hebei University, Baoding, Hebei 071002, People's Republic of China
author
text
article
2015
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
41
v.
2
no.
2015
429
451
http://bims.iranjournals.ir/article_621_d88bf78f4330420a24f1a321805a7cc7.pdf
On constant products of elements in skew polynomial rings
W.
Chen
School of Mathematics and Information Science, Shandong Institute of Business
and Technology, Yantai, 264005)
author
text
article
2015
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
41
v.
2
no.
2015
453
462
http://bims.iranjournals.ir/article_622_9f1ac6891d2a8dd6f84d434909052144.pdf
Conformal mappings preserving the Einstein tensor of Weyl manifolds
M.
Gürlek
Istanbul Technical university
Maslak
author
G.
Çivi
Istanbul technical university
Faculty of Science and letters, dept . of Math., maslak
author
text
article
2015
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
41
v.
2
no.
2015
463
475
http://bims.iranjournals.ir/article_623_d097ee44c57dfd39ee745fc63874c1bf.pdf
On difference sequence spaces defined by Orlicz functions without convexity
H.
Dutta
Department of Mathematics, Gauhati University,
Guwahati-781014, Assam, India
author
L.
Kočinac
Univeristy of East Sarajevo
Bosnia and Herzegovina
author
text
article
2015
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
41
v.
2
no.
2015
477
489
http://bims.iranjournals.ir/article_624_f4c7b7c1145153b4c782097906dcbcf9.pdf
Explicit multiple singular periodic solutions and singular soliton solutions to KdV equation
Y.
Huang
Chuxiong Normal University
author
text
article
2015
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
41
v.
2
no.
2015
491
498
http://bims.iranjournals.ir/article_625_b2a5ddcacb911eb08615e742f7225ac1.pdf
On the non-split extension $2^{2n}{^{cdot}}Sp(2n,2)$
A. B. M.
Basheer
School of Mathematical Sciences, North-West University (Mafikeng)
author
J.
Moori
North-West University
author
text
article
2015
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
41
v.
2
no.
2015
499
518
http://bims.iranjournals.ir/article_626_fbf7a9d839898e046b0c428064dd9515.pdf
Application of measures of noncompactness to infinite system of linear equations in sequence spaces
A.
Alotaibi
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
Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India, and,
Operator Theory and its Applications Research Group, King Abdulaziz University, Jeddah, Saudi Arabia
author
S. A.
Mohiuddine
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
text
article
2015
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
41
v.
2
no.
2015
519
527
http://bims.iranjournals.ir/article_627_feb3b9c527fe3048301249148495a3d7.pdf
Generalized Drazin inverse of certain block matrices in Banach algebras
M. Z.
Kolundžija
University of Nis,
Faculty of Science and Mathematics
author
D.
Mosić
University of Niš,
Faculty of Science and Mathematics
author
D. S.
Djordjević
University of Nis, Faculty of Science and Mathematics
author
text
article
2015
eng
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.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
41
v.
2
no.
2015
529
542
http://bims.iranjournals.ir/article_628_ac76307ab2166b9e759cb6eb26ddd98f.pdf
Erratum: Applications of epi-retractable and co-epi-retractable modules
H.
Mostafanasab
University of Mohaghegh Ardabili
author
text
article
2015
eng
In this errata, we reconsider and modify two propositions and their corollaries which were written on epi-retractable and co-epi-retractable modules.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
41
v.
2
no.
2015
543
544
http://bims.iranjournals.ir/article_629_0fa67d26b80a82147d5fff272a9eb0f9.pdf