Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41220150429Stochastic differential inclusions of semimonotone type in Hilbert spaces291306609ENH.AbediUniversity of KashanJournal Article20130310In 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.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41220150401Periodic solutions of fourth-order delay differential equation307314610ENS.BalamuralitharanSRM UNIVERSITY,Journal Article20131228In 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. <br /> http://bims.iranjournals.ir/article_610_0669d6cfade607a09955798000b786fb.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41220150401On group equations315324611ENS. K.PrajapatiPostdoctoral Fellow, Indian Statistical Institute Bangalore, IndiaR.SarmaAssistant Professor in Indian Institute of Technology Delhi, India.Journal Article20131023 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.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41220150401On convolution properties for some classes of meromorphic functions associated with linear operator325332612ENA. O.MostafaMansoura UniversityM. K.AoufMansoura UniversityJournal Article20131212In this paper, we defined two classes $S_{p}^{\ast }(n,\lambda ,A,B)$ and\\ $ <br />K_{p}(n,\lambda ,A,B)$ of meromorphic $p-$valent functions associated with a <br />new linear operator. We obtained convolution properties for functions in <br />these classes.http://bims.iranjournals.ir/article_612_590cf75895c8f28ff23ee8a78d859103.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41220150401Sinc-Galerkin method for solving a class of nonlinear two-point boundary value problems333352613ENJ.RashidiniaIran University of Science and Technology.M.NabatiIran University of Science and TechnologyS.AhanjIran University of Science and TechnologyJournal Article20130909In 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.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41220150401Linear Weingarten hypersurfaces in a unit sphere353362614ENX.ChaoSoutheast University, 210096, Nanjing, P. R. ChinaJournal Article20140104In 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.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41220150401The distributional Henstock-Kurzweil integral and measure differential equations363374615ENH.Zhouollege of Science,
Hohai University, Nanjing 210098, P. R. ChinaG.YeCollege of Science, Hohai University, Nanjing 210098, P. R. ChinaW.LiuCollege of Science, Hohai University, Nanjing 210098, P. R. ChinaO.WangCollege of Science, Hohai University, Nanjing 210098, P. R. ChinaJournal Article20131024In 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.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41220150401Almost power-Hermitian rings375380616ENN.AshrafiFaculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, IranM.SheibaniFaculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, IranH.DehghanyFaculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, IranJournal Article20130827In this paper we define a new type of rings ”almost powerhermitian <br />rings” (a generalization of almost hermitian rings) and establish <br />several sufficient conditions over a ring R such that, every regular <br />matrix admits a diagonal power-reduction.http://bims.iranjournals.ir/article_616_9038a415f2fd2179c7f8050f766797db.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41220150401On spectral radius of strongly connected digraphs381387617ENJ.LiDepartment of Mathematics, South China Normal University,
and
Faculty of Applied
Mathematics,
Guangdong University of TechnologyB.ZhouDepartment of
Mathematics, South China Normal University, Guangzhou 510631, P. R. ChinaJournal Article20130608 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.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41220150401Uncountably many bounded positive solutions for a second order nonlinear neutral delay partial difference equation389405618ENZ.LiuLiaoning Normal UniversityZ.WuLiaoning Normal UniversityJ. S.UmeDepartment of Mathematics, Changwon National UniversityS. M.KangGyeongsang National UniversityJournal Article20131209In this paper we consider the second order nonlinear <br />neutral delay partial difference equation <br />$\Delta_n\Delta_m\big(x_{m,n}+a_{m,n}x_{m-k,n-l}\big)+ <br />f\big(m,n,x_{m-\tau,n-\sigma}\big)=b_{m,n}, m\geq m_{0},\, <br />n\geq n_{0}.$<br />Under suitable conditions, by making use of the Banach fixed point <br />theorem, we show the existence of uncountably many bounded <br />positive solutions for the above partial difference equation. <br />Three nontrivial examples are given to illustrate the advantages <br />of our results. <br /> http://bims.iranjournals.ir/article_618_f85997965fd591bde2437b36149d7fd1.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41220150401Random coincidence point results for weakly increasing functions in partially ordered metric spaces407422619ENA. R.KhanDepartment of Mathematics and Statistics, King Fahd University of
Petroleum and Minerals, Dhahran, 3126, Saudia ArabiaN.HussainDepartment of Mathematics, King Abdulaziz University, P.O.
Box 80203, Jeddah, 21589, Saudi ArabiaN.YasminCentre for Advanced Studies
in Pure and Applied Mathematics, Bahauudin Zakariya University, Multan, 60800, PakistanN.Shafqatentre for Advanced Studies
in Pure and Applied Mathematics, Bahauudin Zakariya University, Multan, 60800, PakistanJournal Article20130923The 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.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41220150401The Artinian property of certain graded generalized local chohomology modules423428620ENY.GuDepartment of Mathematics, Soochow UniversityL.ChuDepartment of Mathematics, Soochow UniversityJournal Article20130926 Let $R=\oplus_{n\in \Bbb N_0}R_n$ be a <br />Noetherian homogeneous ring with local base ring <br />$(R_0,\frak{m}_0)$, $M$ and $N$ two finitely generated graded <br />$R$-modules. Let $t$ be the least integer such that <br />$H^t_{R_+}(M,N)$ is not minimax. We prove that <br />$H^j_{\frak{m}_0R}(H^t_{R_+}(M,N))$ is Artinian for $j=0,1$. Also, <br />we show that if ${\rm cd}(R_{+},M,N)=2$ and $t\in \Bbb N_0$, then <br />$H^t_{\frak{m}_0R}(H^2_{R_+}(M,N))$ is Artinian if and only if <br />$H^{t+2}_{\frak{m}_0R}(H^1_{R_+}(M,N))$ is Artinian.http://bims.iranjournals.ir/article_620_5dcf718447115c1d4444aeb030bb8f56.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41220150401On certain subclasses of univalent $p$-harmonic mappings429451621ENJ.QiaoDepartment of Mathematics,
Hebei University, Baoding, Hebei 071002, People&#039;s Republic of ChinaJ.ChenSchool of Science,
Hebei University of Engineering, Handan, Hebei 056038, People's
Republic of ChinaM.ShiDepartment of Mathematics,
Hebei University, Baoding, Hebei 071002, People's Republic of ChinaJournal Article20130122In<br />this paper, the main aim is to introduce the class $mathcal<br />{U}_p(lambda,alpha,beta,k_0)$ of $p$-harmonic mappings together<br />with its subclasses $mathcal<br />{U}_p(lambda,alpha,beta,k_0)capmathcal {T}_p$ and $mathcal<br />{U}_p(lambda,alpha,beta,k_0)capmathcal {T}_p^0$, and<br />investigate the properties of the mappings in these classes. First,<br />we give a sufficient condition for mappings to be in $mathcal<br />{U}_p(lambda,alpha,beta,k_0)$ and also the characterization of<br />mappings in $mathcal {U}_p(lambda,alpha,beta,k_0)capmathcal<br />{T}_p$ for $max{0,frac{lambda-frac{1}{2}}{lambda+1}}leq<br />alphaleq lambda$. Second, we consider the starlikeness of<br />mappings in $mathcal {U}_p(lambda,alpha,beta,k_0)capmathcal<br />{T}_p^0$ for $max{0,frac{lambda-frac{1}{2}}{lambda+1}}leq<br />alphaleq lambda$. Third, extreme points of $mathcal<br />{U}_p(lambda,alpha,beta,k_0)capmathcal {T}_p$ for<br />$max{0,frac{lambda-frac{1}{2}}{lambda+1}}leq alphaleq<br />lambda$ are found. The support points of $mathcal<br />{U}_p(lambda,alpha,beta,k_0)capmathcal {T}_p$ for<br />$max{0,frac{lambda-frac{1}{2}}{lambda+1}}leq alphaleq<br />lambda$ and convolution of mappings in $mathcal<br />{U}_p(lambda,alpha,beta,k_0)capmathcal {T}_p$ for<br />$max{0,frac{lambda-frac{1}{2}}{lambda+1}}leq alphaleq<br />lambda$ are also discussed.http://bims.iranjournals.ir/article_621_d88bf78f4330420a24f1a321805a7cc7.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41220150429On constant products of elements in skew polynomial rings453462622ENW.ChenSchool of Mathematics and Information Science, Shandong Institute of Business
and Technology, Yantai, 264005)Journal Article20120213Let $R$ 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.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41220150401Conformal mappings preserving the Einstein tensor of Weyl manifolds463475623ENM.GürlekIstanbul Technical university
MaslakG.ÇiviIstanbul technical university
Faculty of Science and letters, dept . of Math., maslakJournal Article20130425In 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.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41220150401On difference sequence spaces defined by Orlicz functions without convexity477489624ENH.DuttaDepartment of Mathematics, Gauhati University,
Guwahati-781014, Assam, IndiaL.KočinacUniveristy of East Sarajevo
Bosnia and HerzegovinaJournal Article20130528In this paper, we first define spaces of single difference sequences defined by a sequence of Orlicz functions without <br />convexity and investigate their properties. Then we extend this idea to spaces of double sequences and present a <br />new matrix theoretic approach construction of such double sequence spaces. <br /> http://bims.iranjournals.ir/article_624_f4c7b7c1145153b4c782097906dcbcf9.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41220150401Explicit multiple singular periodic solutions and singular soliton solutions to KdV equation491498625ENY.HuangChuxiong Normal UniversityJournal Article20131201 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. <br /> http://bims.iranjournals.ir/article_625_b2a5ddcacb911eb08615e742f7225ac1.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41220150401On the non-split extension $2^{2n}{^{cdot}}Sp(2n,2)$499518626ENA. B. M.BasheerSchool of Mathematical Sciences, North-West University (Mafikeng)J.MooriNorth-West UniversityJournal Article20131213In this paper we give some general results on the non-split<br />extension group $overline{G}_{n} = 2^{2n}{^{cdot}}Sp(2n,2), ngeq<br />2.$ We then focus on the group $overline{G}_{4} =<br />2^{8}{^{cdot}}Sp(8,2).$ We construct $overline{G}_{4}$ as a<br />permutation group acting on 512 points. The conjugacy classes are<br />determined using the coset analysis technique. Then we determine the<br />inertia factor groups and Fischer matrices, which are required for<br />the computations of the character table of $overline{G}_{4}$ by<br />means of Clifford-Fischer Theory. There are two inertia factor<br />groups namely $H_{1} = Sp(8,2)$ and $H_{2} = 2^{7}{:}Sp(6,2),$ the<br />Schur multiplier and hence the character table of the corresponding<br />covering group of $H_{2}$ were calculated. Using the information on<br />conjugacy classes, Fischer matrices and ordinary and projective<br />tables of $H_{2},$ we concluded that we only need to use the<br />ordinary character table of $H_{2}$ to construct the character table<br />of $overline{G}_{4}.$ The Fischer matrices of $overline{G}_{4}$<br />are all listed in this paper. The character table of<br />$overline{G}_{4}$ is a $195 times 195$ complex valued matrix, it<br />has been supplied in the PhD Thesis of the first<br />author, which could be accessed online.http://bims.iranjournals.ir/article_626_fbf7a9d839898e046b0c428064dd9515.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41220150401Application of measures of noncompactness to infinite system of linear equations in sequence spaces519527627ENA.AlotaibiDepartment 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 ArabiaM.MursaleenDepartment of Mathematics, Aligarh Muslim University, Aligarh 202002, India, and,
Operator Theory and its Applications Research Group, King Abdulaziz University, Jeddah, Saudi ArabiaS. A.MohiuddineDepartment 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 ArabiaJournal Article20140102G. 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.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41220150401Generalized Drazin inverse of certain block matrices in Banach algebras529542628ENM. Z.KolundžijaUniversity of Nis,
Faculty of Science and MathematicsD.MosićUniversity of Niš,
Faculty of Science and MathematicsD. S.DjordjevićUniversity of Nis, Faculty of Science and MathematicsJournal Article20131228Several 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. <br /> http://bims.iranjournals.ir/article_628_ac76307ab2166b9e759cb6eb26ddd98f.pdfIranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41220150401Erratum: Applications of epi-retractable and co-epi-retractable modules543544629ENH.MostafanasabUniversity of Mohaghegh ArdabiliJournal Article20150409In 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