2018-09-22T01:48:51Z
http://bims.iranjournals.ir/?_action=export&rf=summon&issue=72
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
2
Bulletin of the Iranian Mathematical Society
2015
04
01
http://bims.iranjournals.ir/article_608_e5a8a77dae3c9cc057d6ea45a3f53496.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
2
Stochastic differential inclusions of semimonotone type in Hilbert spaces
H.
Abedi
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.]
Stochastic differential inclusions
Stochastic set-valued integrals
Generalized solutions
Semimonotone and hemicontinuous set-valued process
2015
04
29
291
306
http://bims.iranjournals.ir/article_609_1f6207d995c810c1dfea87b7aad3943e.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
2
Periodic solutions of fourth-order delay differential equation
S.
Balamuralitharan
In this paper the periodic solutions of fourth order delay differential equation of the form $ddddot{x}(t)+adddot{x}(t)+f(ddot{x}(t-tau(t)))+g(dot{x}(t-tau(t)))+h({x}(t-tau(t)))=p(t)$ is investigated. Some new positive periodic criteria are given.
Fourth-order delay differential equation
periodic solutions
2015
04
01
307
314
http://bims.iranjournals.ir/article_610_0669d6cfade607a09955798000b786fb.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
2
On group equations
S. K.
Prajapati
R.
Sarma
Suppose $f$ is a map from a non-empty finite set $X$ to a finite group $G$. Define the map $zeta^f_G: Glongrightarrow mathbb{N}cup {0}$ by $gmapsto |f^{-1}(g)|$. 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 $w(t_1,t_2,dots,t_n)=g$ ($gin G$) 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.
finite groups
word equations
group characters
2015
04
01
315
324
http://bims.iranjournals.ir/article_611_12adc2b3a8b377f26a5c5fcccd2a6e5e.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
2
On convolution properties for some classes of meromorphic functions associated with linear operator
A. O.
Mostafa
M. K.
Aouf
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.
meromorphic functions
Subordination
Hadamard product
Linear operator
2015
04
01
325
332
http://bims.iranjournals.ir/article_612_590cf75895c8f28ff23ee8a78d859103.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
2
Sinc-Galerkin method for solving a class of nonlinear two-point boundary value problems
J.
Rashidinia
M.
Nabati
S.
Ahanj
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.
Sinc-Galerkin method
double exponential transformation
nonlinear singular boundary value problems
ordinary differential equation
2015
04
01
333
352
http://bims.iranjournals.ir/article_613_9389951776f7625517a1549fb3b42656.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
2
Linear Weingarten hypersurfaces in a unit sphere
X.
Chao
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].
Linear Weingarten hypersurface
generalized maximum principle
rigidity
theorem
2015
04
01
353
362
http://bims.iranjournals.ir/article_614_467b351f3229b132f0998ad7225bab2f.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
2
The distributional Henstock-Kurzweil integral and measure differential equations
H.
Zhou
G.
Ye
W.
Liu
O.
Wang
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.
Distributional Henstock-Kurzweil integral
measure differential equation
Henstock-Stieltjes
integral
distributional derivative
2015
04
01
363
374
http://bims.iranjournals.ir/article_615_8acffba2959061d65bbf251eaa1fa65b.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
2
Almost power-Hermitian rings
N.
Ashrafi
M.
Sheibani
H.
Dehghany
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.
Diagonal power-reduction
exchange ring
regular ring
power-substitution property
2015
04
01
375
380
http://bims.iranjournals.ir/article_616_9038a415f2fd2179c7f8050f766797db.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
2
On spectral radius of strongly connected digraphs
J.
Li
B.
Zhou
It is known that the directed cycle of order $n$ uniquely achieves the minimum spectral
radius among all strongly connected digraphs of order $nge 3$.
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 $nge 4$.
Spectral radius
strongly connected digraph
nonnegative irreducible matrix
bicyclic digraph
2015
04
01
381
387
http://bims.iranjournals.ir/article_617_ba726fe1c4c511605c20112260ca365b.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
2
Uncountably many bounded positive solutions for a second order nonlinear neutral delay partial difference equation
Z.
Liu
Z.
Wu
J. S.
Ume
S. M.
Kang
In this paper we consider the second order nonlinear neutral delay partial difference equation $Delta_nDelta_mbig(x_{m,n}+a_{m,n}x_{m-k,n-l}big)+ fbig(m,n,x_{m-tau,n-sigma}big)=b_{m,n}, mgeq m_{0},, ngeq n_{0}.$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.
Uncountably many bounded
positive solutions
second order nonlinear neutral delay partial
difference equation
Banach fixed point theorem
2015
04
01
389
405
http://bims.iranjournals.ir/article_618_f85997965fd591bde2437b36149d7fd1.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
2
Random coincidence point results for weakly increasing functions in partially ordered metric spaces
A. R.
Khan
N.
Hussain
N.
Yasmin
N.
Shafqat
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.
Random coincidence point
altering distance function
partially
ordered metric space
2015
04
01
407
422
http://bims.iranjournals.ir/article_619_396d1f2ed3aa9d2b238c83b851db8e48.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
2
The Artinian property of certain graded generalized local chohomology modules
Y.
Gu
L.
Chu
Let $R=oplus_{nin Bbb N_0}R_n$ 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 $tin Bbb N_0$, 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.
Graded local cohomology modules
Artinian
modules
minimax
2015
04
01
423
428
http://bims.iranjournals.ir/article_620_5dcf718447115c1d4444aeb030bb8f56.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
2
On certain subclasses of univalent $p$-harmonic mappings
J.
Qiao
J.
Chen
M.
Shi
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.
$p$-harmonic mapping
uniform convexity
uniform starlikeness
extreme point
support point
2015
04
01
429
451
http://bims.iranjournals.ir/article_621_d88bf78f4330420a24f1a321805a7cc7.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
2
On constant products of elements in skew polynomial rings
W.
Chen
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 $p$, $0leq pleq m$, 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.
Constant products
skew polynomial rings
reversible rings
weakly 2-primal rings
2015
04
29
453
462
http://bims.iranjournals.ir/article_622_9f1ac6891d2a8dd6f84d434909052144.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
2
Conformal mappings preserving the Einstein tensor of Weyl manifolds
M.
Gürlek
G.
Çivi
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.
Weyl manifold
Einstein tensor
conformal mapping
flat Weyl manifold
isotropic Weyl manifold
2015
04
01
463
475
http://bims.iranjournals.ir/article_623_d097ee44c57dfd39ee745fc63874c1bf.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
2
On difference sequence spaces defined by Orlicz functions without convexity
H.
Dutta
L.
Kočinac
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.
Difference sequence space
$K$-function
$F$-space
$AK$-space
Frechet space
2015
04
01
477
489
http://bims.iranjournals.ir/article_624_f4c7b7c1145153b4c782097906dcbcf9.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
2
Explicit multiple singular periodic solutions and singular soliton solutions to KdV equation
Y.
Huang
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.
Lax system
KdV
equation
Darboux transformation
singular periodic solution
2015
04
01
491
498
http://bims.iranjournals.ir/article_625_b2a5ddcacb911eb08615e742f7225ac1.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
2
On the non-split extension $2^{2n}{^{cdot}}Sp(2n,2)$
A. B. M.
Basheer
J.
Moori
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.
Group extensions
symplectic group
character
table
inertia groups
Fischer matrices
2015
04
01
499
518
http://bims.iranjournals.ir/article_626_fbf7a9d839898e046b0c428064dd9515.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
2
Application of measures of noncompactness to infinite system of linear equations in sequence spaces
A.
Alotaibi
M.
Mursaleen
S. A.
Mohiuddine
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.
Sequence spaces
matrix transformations
Hausdorff measure of noncompactness
Darbo's
fixed point theorem
infinite system of linear equations
2015
04
01
519
527
http://bims.iranjournals.ir/article_627_feb3b9c527fe3048301249148495a3d7.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
2
Generalized Drazin inverse of certain block matrices in Banach algebras
M. Z.
Kolundžija
D.
Mosić
D. S.
Djordjević
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.
Generalized Drazin inverse
Schur
complement
block matrix
2015
04
01
529
542
http://bims.iranjournals.ir/article_628_ac76307ab2166b9e759cb6eb26ddd98f.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
2
Erratum: Applications of epi-retractable and co-epi-retractable modules
H.
Mostafanasab
In this errata, we reconsider and modify two propositions and their corollaries which were written on epi-retractable and co-epi-retractable modules.
Epi-retractable modules
co-epi-retractable modules
Hereditary rings
2015
04
01
543
544
http://bims.iranjournals.ir/article_629_0fa67d26b80a82147d5fff272a9eb0f9.pdf