Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41520151001The stability of the solution of an inverse spectral problem with a singularity10611070673ENS. MosazadehDepartment of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, IranJournal Article20131229This paper deals with the singular Sturm-Liouville expressions <br />$ <br />ell y = -y''+q(x)y=lambda y <br />$ <br />on a finite interval, where the potential function $q$ is real and <br />has a singularity inside the interval. <br />Using the asymptotic estimates of a <br />spectral fundamental system of solutions of Sturm-Liouville <br />equation, the asymptotic form of the solution of the <br />equation (0.1) and the eigenvalues are obtained, and proves the stability of the <br />solution of the inverse spectral problem.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41520151001Zero sets in pointfree topology and strongly $z$-ideals10711084674ENA. A. EstajiFaculty of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran.A. Karimi FeizabadiDepartment of Mathematics, Gorgan Branch, Islamic Azad University, Gorgan, Iran.M. AbediFaculty of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran.Journal Article20140413In this paper a particular case of z-ideals, called strongly z-ideal, is defined by introducing zero sets in pointfree topology. We study strongly z-ideals, their relation with z-ideals and the role of spatiality in this relation. For strongly z-ideals, we analyze prime ideals using the concept of zero sets. Moreover, it is proven that the intersection of all zero sets of a prime ideal of C(L), which is ring of real-valued continuous functions for frame L, does not have more than one element. Also, z-filters are introduced in terms of pointfree topology. Then the relationship between z-filters and ideals, particularly maximal ideals, is examined. Finally, it is shown that the family of all zero sets is a base for the collection of closed sets.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41520151001Some concavity properties for general integral operators10851092675ENM. DarusSchool of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi
Selangor DE, MalaysiaI. AldawishSchool of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi
Selangor DE, MalaysiaR. W. IbrahimInstitute of Mathematical Sciences, Universiti Malaya, 50603, Malaysia.Journal Article20140316Let $C_0(alpha)$ denote the class of concave univalent functions defined in the open unit disk $mathbb{D}$. Each function $f in C_{0}(alpha)$ maps the unit disk $mathbb{D}$ onto the complement of an unbounded convex set. In this paper, we study the mapping properties of this class under integral operators.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41520151001On dimensions of derived algebra and central factor of a Lie algebra10931102676ENH. ArabyaniMashhad Branch, Islamic Azad University, Mashhad, Iran.F. SaeediMashhad Branch, Islamic Azad University, Mashhad, Iran.Journal Article20131105Some Lie algebra analogues of Schur's theorem and its converses <br />are presented. As a result, it is shown that for a capable Lie algebra L we <br />always have dim L=Z(L) 2(dim(L2))2. We also give give some examples sup- <br />porting our results.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41520151001Faber polynomial coefficient estimates for bi-univalent functions defined by subordinations11031119677ENS. G. HamidiDepartment of Mathematics, Brigham Young University, Provo, Utah,
U.S.A.J. M. JahangiriKent State UniversityJournal Article20130528A function is said to be bi-univalent on the open unit disk D if both the function and its inverse are univalent in D. Not much is known about the behavior of the classes of bi-univalent functions let alone about their coefficients. In this paper we use the Faber polynomial expansions to find coefficient estimates for four well-known classes of bi-univalent functions which are defined by subordinations. Both the coefficient bounds and the techniques presented are new and we hope that this paper will inspire future researchers in applying our approach to other related problems.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41520151001Entire functions sharing a small entire function with their difference operators11211129678ENJ. ZhangCollege of Science,
China University of Mining and Technology, Xuzhou 221116, PR
ChinaH. Y. KangCollege of Science,
China University of Mining and Technology, Xuzhou 221116, PR
ChinaL. W. LiaoDepartment of Mathematics, Nanjing University, Nanjing 210093, PR
ChinaJournal Article20130513In this paper, we mainly investigate the uniqueness of the entire function sharing a <br />small entire function with its high difference operators. We obtain <br />one results, which can give a negative answer to an uniqueness question <br />relate to the Bruck conjecture dealt by Liu and Yang. Meanwhile, we also establish a difference analogue of the <br />Bruck conjecture for entire functions of order less than 2, which improves some results obtained by Liu and Yang.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41520151001New conditions on ground state solutions for Hamiltonian elliptic systems with gradient terms11311146679ENF. F. LiaoSchool of Mathematics and Statistics Central South University Changsha, 410083, Hunan \newline Department of Mathematics, Xiangnan University, Chenzhou, 423000, Hunan, P.R. ChinaX. H. TangSchool of Mathematics and Statistics Central South University Changsha, 410083, Hunan, P.R. ChinaD. D. QinSchool of Mathematics and Statistics Central South University Changsha, 410083, Hunan, P.R. ChinaJournal Article20130718This paper is concerned with the following elliptic system:<br />$$<br /> left{<br /> begin{array}{ll}<br /> -triangle u + b(x)nabla u + V(x)u=g(x, v), <br /> -triangle v - b(x)nabla v + V(x)v=f(x, u), <br /> end{array}<br /> right.<br /> $$<br /> for $x in {R}^{N}$, where $V $, $b$ and $W$ are 1-periodic in $x$, and $f(x,t)$, $g(x,t)$ are super-quadratic. In this paper, we give a new technique to show the boundedness of Cerami sequences and establish the existence of ground state solutions with mild assumptions on $f$ and $g$.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41520151001Random approximation of a general symmetric equation11471159680ENH. RezaeiDepartment of
Mathematics, University
of Yasouj, P.O. Box 75914-74831, Yasouj, IranC. ParkDepartment of
Mathematics, Research Institute for Natural Sciences, University
of Hanyang, P.O. Box 133-791, Seoul, KoreaJournal Article20130212In this paper, we prove the Hyers-Ulam stability of the symmetric functional<br />equation $f(ph_1(x,y))=ph_2(f(x), f(y))$ in random normed spaces. As a consequence, we<br />obtain some random stability results in the sense of Hyers-Ulam-Rassias.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41520151001Some approximate fixed point results for proximinal valued $beta$-contractive multifunctions11611172681ENM. A. MiandaraghDepartment of Mathematics, Azarbaijan Shahid Madani University, Tabriz, IranA. PiteaDepartment of Mathematics, University Politehnica of Bucharest, Bucharest, RomaniaSh. RezapourDepartment of Mathematics, Azarbaijan Shahid Madani University, Tabriz, IranJournal Article20130308In this paper, we prove some approximate fixed point results for proximinal valued $beta$-contractive multifunctions on metric spaces. We show that our results generalize some old fixed point results in the literature.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41520151001On properties of dependent general progressively type-II censored order statistics11731182682ENM. RezapourDepartment of Statistics. Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, IranM. H. AlamatsazDepartment of Statistics, University of Isfahan,Isfahan, Iran \newline
Naghshejahan Institute of Higher Education, Baharestan, Isfahan, IranJournal Article20131115In the literature of life-testing, general progressive censoring has been studied extensively. But, all the results have been developed under the key assumption that the units under<br />test are independently distributed. In this paper, we study general progressively Type-II censored order statistics arising from identical units under test which are jointly distributed according to an Archimedean copula with completely monotone generator (GPCOSARCM-II). Density, distribution and joint density functions of GPCOSARCM-II are all derived. Finally, some examples of GPCOSARCM-II are provided.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41520151001On Sandwich theorems for certain classes of analytic functions11831193683ENR. AghalaryDepartment of Mathematics, Faculty of Science, Urmia University, Urmia, IranA. EbadianDepartment of Mathematics, Faculty of Science, Urmia University, Urmia, IranM. MafakheriDepartment of Mathematics, Faculty of Science, Urmia University, Urmia, IranJournal Article20140501The purpose of this present paper is to derive some subordination and superordination results for certain analytic functions in the open unit disk. <br />Relevant connections of the results, which are presented in the paper, with various known results are also considered.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41520151001A note on critical point and blow-up rates for singular and degenerate parabolic equations11951205684ENB. LiuCollege of Science, China University of Petroleum, Qingdao 266580, Shandong Province, P.R. ChinaF. LiCollege of Science, China University of PetroleumCollege of Science, China University of Petroleum, Qingdao 266580, Shandong Province, P.R. ChinaJournal Article20140429In this paper, we consider singular and degenerate parabolic equations<br />$$<br />u_t =(x^alpha u_x)_x +u^m (x_0,t)v^{n} (x_0,t),quad<br />v_t =(x^beta v_x)_x +u^q (x_0,t)v^{p} (x_0,t),$$ in $(0,a)times (0,T)$, subject to null<br />Dirichlet boundary conditions, where $m,n, p,qge 0$, $alpha, betain [0,2)$ and $x_0in (0,a)$. The optimal classification of non-simultaneous and simultaneous blow-up solutions is determined. Additionally, we obtain blow-up rates and sets for the solutions. The singular rates for the derivation of the solutions are given.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41520151001Automatic continuity of surjective $n$-homomorphisms on Banach algebras12071211685ENM. Eshaghi GordjiDepartment of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran, and,
Center of Excellence in Nonlinear Analysis and Applications (CENAA), Semnan University, IranA. JabbariYoung Researchers and Elite Club, Ardabil Branch, Islamic Azad University, Ardabil, IranE. KarapinarDepartment of Mathematics, Atilim University, 06836, Incek, Ankara, TurkeyJournal Article20130302In this paper, we show that every surjective $n$-homomorphism ($n$-anti-homomorphism) from a Banach algebra $A$ into a semisimple Banach algebra $B$ is continuous.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41520151001Approximation of an additive mapping in various normed spaces12131233686ENM. S. ShiriDepartment of Mathematics, Arsanjan Branch, Islamic Azad University, Arsanjan,
Iran.H. Azadi KenaryDepartment of Mathematics, College of Sciences, Yasouj University, Yasouj 75918-74831,
Iran.Journal Article20140125In this paper, using the fixed point and direct methods, we prove the generalized Hyers-Ulam-Rassias stability <br />of the following Cauchy-Jensen additive functional equation: <br />begin{equation}label{main} <br />fleft(frac{x+y+z}{2}right)+fleft(frac{x-y+z}{2}right)=f(x)+f(z)end{equation} <br />in various normed spaces. <br />The concept of Hyers-Ulam-Rassias stability originated from Th. M. <br />Rassias’ stability theorem that appeared in his paper: On the <br />stability of the linear mapping in Banach spaces, Proc. Amer. <br />Math. Soc. 72 (1978), 297-300.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41520151001A hybrid method for singularly perturbed delay boundary value problems exhibiting a right boundary layer12351247687ENF. Z. GengDepartment of Mathematics, Changshu Institute of Technology,
Changshu, Jiangsu 215500, ChinaS. P. QianDepartment of Mathematics, Changshu Institute of Technology,
Changshu, Jiangsu 215500, ChinaJournal Article20140306The aim of this paper is to present a numerical method for singularly perturbed convection-diffusion problems with a delay. The method is a combination of the asymptotic expansion technique and the reproducing kernel method (RKM). First an asymptotic expansion for the solution of the given singularly perturbed delayed boundary value problem is constructed. Then the reduced regular delayed differential equation is solved analytically using the RKM. An error estimate and two numerical examples are provided to illustrate the effectiveness of the present method. The results of numerical examples show that the present method is accurate and efficient.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41520151001A relative extending module and torsion precovers12491257688ENM. Kemal BerktasDepartment of
Mathematics, Usak University, Usak, TurkeyS. DogruozDepartment of
Mathematics, Adnan Menderes University, Aydin, TurkeyJournal Article20130318We first characterize $tau$-complemented modules with relative (pre)-covers. We also introduce an extending module relative to $tau$-pure submodules on a hereditary torsion theory $tau$ and give its relationship with $tau$-complemented modules.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41520151001A uniform approximation method to solve absolute value equation12591269689ENH. EsmaeiliDepartment of
Mathematics, Bu-Ali Sina University, Hamedan, IranE. MahmoodabadiDepartment of
Mathematics, Bu-Ali Sina University, Hamedan, IranM. AhmadiDepartment of
Mathematics, Malayer University, Malayer, IranJournal Article20131222In this paper, we propose a parametric uniform approximation method to solve NP-hard absolute value equations. <br />For this, we uniformly approximate absolute value in such a way that the nonsmooth absolute value equation can be <br />formulated as a smooth nonlinear equation. By solving the parametric smooth nonlinear equation using Newton method, for a decreasing sequence of parameters, we can get the solution of absolute value equation. It is proved that the method is globally convergent under some weaker conditions with respect to existing methods. <br />Moreover, preliminary numerical results indicate effectiveness and robustness of our method to solve absolute value equations.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41520151001On generalized reduced representations of restricted Lie superalgebras in prime characteristic12711285690ENY. F. YaoDepartment of Mathematics, Shanghai Maritime University, Shanghai 201306, ChinaY. Y. LiSchool of Fundamental Studies, Shanghai University of Engineering Science, Shanghai 201620, ChinaJournal Article20130922Let $mathbb{F}$ be an algebraically closed field of prime characteristic $p>2$ and $(g, [p])$ a finite-dimensional restricted Lie superalgebra over $mathbb{F}$. It is showed that any<br />finite-dimensional indecomposable $g$-module is a module for a finite-dimensional quotient of the universal enveloping superalgebra of $g$. These quotient superalgebras are called the generalized reduced enveloping superalgebras, which generalize the notion of reduced enveloping superalgebras. Properties and representations of these generalized reduced enveloping superalgebras are studied. Moreover, each such superalgebra can be identified as a reduced enveloping superalgebra of the associated restricted Lie superalgebra.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41520151001Hypersurfaces of a Sasakian space form with recurrent shape operator12871297691ENE. AbediDepartment of
Mathematics, Azarbaijan Shahid Madani University, P.O. Box 53751 71379, Tabriz, IranM. IlmakchiDepartment of
Mathematics, Azarbaijan Shahid Madani University, P.O. Box 53751 71379, Tabriz, IranJournal Article20120918Let $(M^{2n},g)$ be a real hypersurface with recurrent shape<br />operator and tangent to the structure vector field $xi$ of the Sasakian space form<br />$widetilde{M}(c)$. We show that if the shape operator $A$ of $M$ is<br />recurrent then it is parallel. Moreover, we show that $M$<br />is locally a product of two constant $phi-$sectional curvature<br />spaces.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41520151001On a class of Kirchhoff type systems with nonlinear boundary condition12991313692ENS. H. RasouliDepartment of Mathematics, Faculty of Basic Sciences,
Babol University of Technology, Babol, IranH. NorouziDepartment of Mathematics, Faculty of Basic Sciences,
Babol University of Technology, Babol, IranJournal Article20140405A class of Kirchhoff type systems with nonlinear boundary <br />conditions considered in this paper. By using the method of Nehari <br />manifold, it is proved that the system possesses two nontrivial <br />nonnegative solutions if the parameters are small enough.