eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2014-10-01
40
5
1057
1066
552
Stability of essential spectra of bounded linear operators
F. Abdmouleh
faical_abdmouleh@yahoo.fr
1
University of Sfax Tunisia
In 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 $gamma(U^m)
http://bims.iranjournals.ir/article_552_f745c234695fc9d63216bfacf853048a.pdf
Fredholm operators
lower (respectively
upper) semi-Fredholm operators
essential spectra
compact operators
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2014-10-01
40
5
1067
1086
553
A two-phase free boundary problem for a semilinear elliptic equation
A. Aghajani
aghajani@iust.ac.ir
1
Iran University of Science and Technology
In 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.
http://bims.iranjournals.ir/article_553_0532226b244f965cdb1172d8caf97706.pdf
Free boundary problems
optimal growth
regularity
singular set
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2014-10-01
40
5
1087
1095
554
Existence of a ground state solution for a class of $p$-laplace equations
Y. H. Deng
dengchen4032@126.com
1
Department of Hengyang normal university
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.
http://bims.iranjournals.ir/article_554_654d59a2d6d831ee91cb5555d9720659.pdf
Ground state solution
$p$-Laplace equation
minimization problem
the Schwartz symmetrization process
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2014-10-01
40
5
1097
1117
555
Theoretical results on the global GMRES method for solving generalized Sylvester matrix equations
F. Panjeh Ali Beik
f.beik@vru.ac.ir
1
Vali-Asr University of Rafsanjan
The 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.
http://bims.iranjournals.ir/article_555_436d6ad5ed75e3a57eae6a19e45899b6.pdf
Linear matrix equation
Krylov subspace
global GMRES
Schur complement
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2014-10-01
40
5
1119
1133
556
On the elliptic curves of the form $ y^2=x^3-3px $
H. Daghigh
hassan@kashanu.ac.ir
1
S. Didari
s.didari@grad.kashanu.ac.ir
2
University of Kashan
University of Kashan
By 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.
http://bims.iranjournals.ir/article_556_7a936719829fd98ff6277ef68f35035e.pdf
Elliptic Curves
Mordell-Weil group
Selmer Group
Birch and Swinnerton-Dyer conjecture
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2014-10-01
40
5
1135
1151
557
Non existence of totally contact umbilical slant lightlike submanifolds of indefinite Sasakian manifolds
R. Sachdeva
rashmi.sachdeva86@gmail.com
1
R. Kumar
dr_rk37c@yahoo.co.in
2
S. Singh Bhatia
ssbhatia@thapar.edu
3
School of Mathematics and Computer Applications, Thapar University, Patiala
University College of Engineering Punjabi University, Patiala
School of Mathematics and Computer Applications, Thapar University, Patiala
We 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.
http://bims.iranjournals.ir/article_557_24ff97de6649946c62a7c349035161c9.pdf
Slant lightlike submanifolds
totally contact
umbilical lightlike submanifolds
totally contact geodesic lightlike
submanifolds
indefinite Sasakian manifolds
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2014-10-01
40
5
1153
1167
558
Maximal elements of $mathscr{F}_{C,theta}$-majorized mappings and applications to generalized games
Y. M. Du
duyanmei@tjpu.edu.cn
1
Department of Mathematics, Tianjin Polytechnic University
In the paper, some new existence theorems of maximal elements for $mathscr{F}_{C,theta}$-mappings and $mathscr{F}_{C,theta}$-majorized mappings are established. As applications, some new existence theorems of equilibrium points for one-person games, qualitative games and generalized games are obtained. Our results unify and generalize most known results in recent literature.
http://bims.iranjournals.ir/article_558_c9b400c9270fdd3a6552018a5e06fce5.pdf
Maximal elements
generalized games
$mathscr{F}_{C
theta}$-majorized mappings
$FC$-space
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2014-10-01
40
5
1169
1194
559
Lie-type higher derivations on operator algebras
D. Han
dahai_hd@bit.edu.cn
1
jiaozuo
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.
http://bims.iranjournals.ir/article_559_422861332b6135b5ba4155ed2d6555f5.pdf
Lie higher derivation
Lie triple higher derivation
operator algebra
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2014-10-01
40
5
1195
1212
560
Lower semicontinuity for parametric set-valued vector equilibrium-like problems
J. W. Chen
j.w.chen713@163.com
1
School of Mathematics and Statistics, Southwest University
A 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.
http://bims.iranjournals.ir/article_560_0803382a985417ff20dedff0e60788cf.pdf
Lower semicontinuity
parametric set-valued vector equilibrium-like problem
weak $f$-property
positive proper efficient solution
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2014-10-01
40
5
1213
1226
561
Groups in which every subgroup has finite index in its Frattini closure
F. De Giovanni
degiovan@unina.it
1
D. Imperatore
diana.imperatore@unina.it
2
Università di Napoli Federico II
Università di Napoli "Federico II" Dipartimento di Matematica e Applicazioni
In 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.
http://bims.iranjournals.ir/article_561_3a8e1901acbb88df60bd42b42c8fb15d.pdf
Maximal subgroup
Frattini closure
$FM$-group
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2014-10-01
40
5
1227
1242
562
On $L_1$-weak ergodicity of nonhomogeneous continuous-time Markov processes
F. Mukhamedov
far75m@yandex.ru
1
International Islamic University of Malaysia
In 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.
http://bims.iranjournals.ir/article_562_27c5feba62636d0718b0551a9db010f6.pdf
Weak ergodicity
$L_1$-weak ergodicity
nonhomogeneous Markov process, quadratic
stochastic process
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2014-10-01
40
5
1243
1262
563
On finite $X$-decomposable groups for $X={1, 2, 3, 4}$
X. Guo
xyguo@shu.edu.cn
1
R. Chen
fang119128@126.com
2
Shanghai University
Shanghai University
Let $mathcal {N}_G$ 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 $X={1, 2, 3,
4}$.
http://bims.iranjournals.ir/article_563_998ce6654cd16ec63477cd8cb2541111.pdf
$n$-decomposable
$X$-decomposable
$G$-conjugacy classes
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2014-10-01
40
5
1263
1274
564
Baer's lower nilradical and classical prime submodules
E. Yılmaz
yilmaz_e2@ibu.edu.tr
1
S. Kılıçarslan Cansu
sibelkcansu@gmail.com
2
Abant İzzet Baysal University
Istanbul Technical University
Let $N$ 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.
http://bims.iranjournals.ir/article_564_7fdaebb33e052f3690d592f01b7f3311.pdf
Envelopes
Nilradical
classical prime submodules
semi-prime submodules
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2014-10-01
40
5
1275
1290
565
Convergence analysis of spectral Tau method for fractional Riccati differential equations
P. Mokhtary
mokhtary.payam@gmail.com
1
F. Ghoreishi
ghoreishif@kntu.ac.ir
2
Muslim
muslim
In 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.
http://bims.iranjournals.ir/article_565_640b209b5b3935e605fe16785504abcc.pdf
Fractional Riccati differential equations
Caputo derivative
spectral Tau method
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2014-10-01
40
5
1291
1300
566
Nilpotent groups with three conjugacy classes of non-normal subgroups
H. Mousavi
mousavi.hamid@gmail.com
1
Department of Mathematics, University of Tabriz' P.O.Box 51666-17766
Let $G$ 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.
http://bims.iranjournals.ir/article_566_60fb1fd6f6e8ad3f51b8c37257f7424a.pdf
Non-normal subgroup
conjugacy class
nilpotent group
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2014-10-01
40
5
1301
1326
567
Existence and multiplicity of nontrivial solutions for $p$-Laplacian system with nonlinearities of concave-convex type and sign-changing weight functions
S. Khademloo
s.khademloo@nit.ac.ir
1
S. Khanjany Ghazi
s.khanjany@gmail.com
2
Department of basic sciences, babol noushirvani university of technology, babol, Iran
Babol university of technology
This 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 $mathbb{R}^2$.
http://bims.iranjournals.ir/article_567_d5399e64cb0da186a30a56ce28cb3c50.pdf
variational methods
Nehari manifold
Dirichlet boundary condition
sign-changing weight functions
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2014-10-01
40
5
1327
1346
568
ILU and IUL factorizations obtained from forward and backward factored approximate inverse algorithms
A. Rafiei
rafiei.am@gmail.com
1
Hakim Sabzevari University
In 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.
http://bims.iranjournals.ir/article_568_954d6365d35f2491fdc177d5310770af.pdf
ILU factorization
IUL factorization
forward $FAPINV$ process
backward $FAPINV$ process
linked lists trick