Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X40520141001Stability of essential spectra of bounded linear operators10571066552ENF. AbdmoulehUniversity of Sfax TunisiaJournal Article20130422In this paper, we show the stability of Gustafson, Weidmann, Kato, Wolf, Schechter and Browder essential spectrum of bounded linear operators on Banach spaces which remain invariant under additive perturbations
belonging to a broad classes of operators $U$ such <that> $gamma(U^m)<1$ where $gamma(.)$ is a measure of
noncompactness.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X40520141001A two-phase free boundary problem for a semilinear elliptic equation10671086553ENA. AghajaniIran University of Science and Technology0000-0002-6656-113XJournal Article20130214In this paper we study a two-phase free boundary problem for a semilinear elliptic equation on a bounded domain $Dsubset mathbb{R}^{n}$ with smooth boundary. We give some results on the growth of solutions and characterize the free boundary points in terms of homogeneous harmonic polynomials using a fundamental result of Caffarelli and Friedman regarding the representation of functions whose Laplacians enjoy a certain inequality. We show that in dimension $n=2$, solutions have optimal growth at non-isolated singular points, and the same result holds for $ngeq3$ under an ($n-1$)-dimensional density condition. Furthermore, we prove that the set of points in the singular set that the solution does not have optimal growth is locally countably ($n-2$)-rectifiable.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X40520141001Existence of a ground state solution for a class of $p$-laplace equations10871095554ENY. H. DengDepartment of Hengyang normal universityJournal Article20130208 According to a class of constrained
minimization problems, the Schwartz symmetrization process and the
compactness lemma of Strauss, we prove that there is a
nontrivial ground state solution for a class of $p$-Laplace
equations without the Ambrosetti-Rabinowitz condition.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X40520141001Theoretical results on the global GMRES method for solving generalized Sylvester matrix equations10971117555ENF. Panjeh Ali BeikVali-Asr University of RafsanjanJournal Article20110725The global generalized minimum residual (Gl-GMRES)
method is examined for solving the generalized Sylvester matrix equation
[sumlimits_{i = 1}^q {A_i } XB_i = C.]
Some new theoretical results are elaborated for
the proposed method by employing the Schur complement.
These results can be exploited to establish new convergence properties
of the Gl-GMRES method for solving general (coupled) linear matrix
equations. In addition, the Gl-GMRES method for solving the generalized
Sylvester-transpose matrix equation is briefly studied.
Finally, some numerical experiments are presented to illustrate
the efficiently of the Gl-GMRES method for solving the general
linear matrix equations.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X40520141001On the elliptic curves of the form $ y^2=x^3-3px $11191133556ENH. DaghighUniversity of KashanS. DidariUniversity of KashanJournal Article20130429By the Mordell-Weil theorem, the group of rational points on an elliptic curve over a number field is a finitely generated abelian group. There is no known algorithm for finding the rank of this group. This paper computes the rank of the family $ E_p:y^2=x^3-3px $ of elliptic curves, where p is a prime.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X40520141001Non existence of totally contact umbilical slant lightlike submanifolds of indefinite Sasakian manifolds11351151557ENR. SachdevaSchool of Mathematics and Computer Applications,
Thapar University,
PatialaR. KumarUniversity College of Engineering
Punjabi University, PatialaS. Singh BhatiaSchool of
Mathematics and Computer Applications,
Thapar University,
PatialaJournal Article20120918We prove that there do not exist totally contact umbilical
proper slant lightlike submanifolds of indefinite Sasakian manifolds other than totally contact geodesic
proper slant lightlike submanifolds. We also prove that there do
not exist totally contact umbilical proper slant lightlike
submanifolds of indefinite Sasakian space forms.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X40520141001Maximal elements of $mathscr{F}_{C,theta}$-majorized mappings and applications to generalized games11531167558ENY. M. DuDepartment of Mathematics,
Tianjin Polytechnic UniversityJournal Article20130110In the paper, <br />some new existence theorems of maximal elements for <br />$mathscr{F}_{C,theta}$-mappings and $mathscr{F}_{C,theta}$-majorized mappings are established. <br />As applications, some new existence theorems of equilibrium points for <br />one-person games, qualitative games and generalized games are obtained. <br />Our results unify and generalize most known results <br />in recent literature.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X40520141001Lie-type higher derivations on operator algebras11691194559END. HanjiaozuoJournal Article20130426 Motivated by the intensive and powerful works concerning additive
mappings of operator algebras, we mainly study Lie-type higher
derivations on operator algebras in the current work. It is shown
that every Lie (triple-)higher derivation on some classical operator
algebras is of standard form. The definition of Lie $n$-higher
derivations on operator algebras and related potential research
topics are properly-posed at the end of this article.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X40520141001Lower semicontinuity for parametric set-valued vector equilibrium-like problems11951212560ENJ. W. ChenSchool of Mathematics and Statistics, Southwest UniversityJournal Article20130522A concept of weak $f$-property for a set-valued mapping is introduced, and then under some suitable assumptions, which do not involve any information
about the solution set, the lower semicontinuity of the solution mapping to
the parametric
set-valued vector equilibrium-like problems are derived by using a density result and scalarization method, where the
constraint set $K$ and a set-valued mapping $H$ are perturbed by
different parameters.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X40520141001Groups in which every subgroup has finite index in its Frattini closure12131226561ENF. De GiovanniUniversità di Napoli Federico IID. ImperatoreUniversità di Napoli "Federico II"
Dipartimento di Matematica e ApplicazioniJournal Article20130712In 1970, Menegazzo [Gruppi nei quali ogni sottogruppo e intersezione di sottogruppi massimali, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 48 (1970), 559--562.] gave a complete description of the structure of soluble $IM$-groups, i.e., groups in which every subgroup can be obtained as intersection of maximal subgroups. A group $G$ is said to have the $FM$-property if every subgroup of $G$ has finite index in the intersection $hat X$ of all maximal subgroups of $G$ containing $X$. The behaviour of (generalized) soluble $FM$-groups is studied in this paper. Among other results, it is proved that if~$G$ is a (generalized) soluble group for which there exists a positive integer $k$ such that $|hat X:X|leq k$ for each subgroup $X$, then $G$ is finite-by-$IM$-by-finite, i.e., $G$ contains a finite normal subgroup $N$ such that $G/N$ is a finite extension of an $IM$-group.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X40520141001On $L_1$-weak ergodicity of nonhomogeneous continuous-time Markov processes12271242562ENF. MukhamedovInternational Islamic University of MalaysiaJournal Article20111004In the present paper we investigate the $L_1$-weak ergodicity of
nonhomogeneous continuous-time Markov processes with general state
spaces. We provide a necessary and sufficient condition for such
processes to satisfy the $L_1$-weak ergodicity. Moreover, we apply
the obtained results to establish $L_1$-weak ergodicity of quadratic
stochastic processes.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X40520141001On finite $X$-decomposable groups for $X={1, 2, 3, 4}$12431262563ENX. GuoShanghai UniversityR. ChenShanghai UniversityJournal Article20130328Let $mathcal {N}_G$ denote the set of all proper
normal subgroups of a group $G$ and $A$ be an element of $mathcal
{N}_G$. We use the notation $ncc(A)$ to denote the number of
distinct $G$-conjugacy classes contained in $A$ and also $mathcal
{K}_G$ for the set ${ncc(A) | Ain mathcal {N}_G}$. Let $X$ be
a non-empty set of positive integers. A group $G$ is said to be
$X$-decomposable, if $mathcal {K}_G=X$. In this paper we give a
classification of finite $X$-decomposable groups for $X={1, 2, 3,
4}$.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X40520141001Baer's lower nilradical and classical prime submodules12631274564ENE. YılmazAbant İzzet Baysal UniversityS. Kılıçarslan CansuIstanbul Technical UniversityJournal Article20121208Let $N$ be a submodule of a module $M$ and a minimal primary decomposition of $N$ is known. A formula to compute Baer's lower nilradical of $N$ is given. The relations between classical prime submodules and their nilradicals are investigated. Some situations in which semiprime submodules can be written as finite intersection of classical prime submodule are stated.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X40520141001Convergence analysis of spectral Tau method for fractional Riccati differential equations12751290565ENP. MokhtaryMuslimF. GhoreishimuslimJournal Article20130208In this paper, a spectral Tau method for solving fractional Riccati
differential equations is considered. This technique describes
converting of a given fractional Riccati differential equation to a
system of nonlinear algebraic equations by using some simple
matrices. We use fractional derivatives in the Caputo form.
Convergence analysis of the proposed method is given and rate of
convergence is established in the weighted $L^2-$norm. Numerical
results are presented to confirm the high accuracy of the
method.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X40520141001Nilpotent groups with three conjugacy classes of non-normal subgroups12911300566ENH. MousaviDepartment of Mathematics, University of Tabriz' P.O.Box 51666-17766Journal Article20130713Let $G$ be a finite group and $nu(G)$ denote the number of conjugacy classes of non-normal subgroups of $G$. In this paper, all nilpotent groups $G$ with $nu(G)=3$ are classified.
Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X40520141001Existence and multiplicity of nontrivial solutions for $p$-Laplacian system with nonlinearities of concave-convex type and sign-changing weight functions13011326567ENS. KhademlooDepartment of basic sciences, babol noushirvani university of technology, babol, IranS. Khanjany GhaziBabol university of technologyJournal Article20130706This paper is concerned with the existence of multiple positive
solutions for a quasilinear elliptic system involving concave-convex
nonlinearities
and sign-changing weight functions. With the help of the Nehari manifold and Palais-Smale condition,
we prove that the system has at least two nontrivial positive
solutions, when the pair of parameters $(lambda,mu)$ belongs to a certain subset of $mathbb{R}^2$.Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X40520141001ILU and IUL factorizations obtained from forward and backward factored approximate inverse algorithms13271346568ENA. RafieiHakim Sabzevari UniversityJournal Article20120612In this paper, an efficient dropping criterion has been used to compute the IUL factorization obtained from Backward Factored APproximate INVerse (BFAPINV) and ILU factorization obtained from Forward Factored APproximate INVerse (FFAPINV) algorithms. We use different drop tolerance parameters to compute the preconditioners. To study the effect of such a dropping on the quality of the ILU and IUL factorizations, we have used the preconditioners as the right preconditioners for several linear systems and then, the Krylov subspace methods have been used to solve the preconditioned systems. To avoid storing matrix $A$ in two CSR and CSC formats, the linked lists trick has been used in the implementations. As the preprocessing, the multilevel nested dissection reordering has also been used.