2014
40
5
5
0
Stability of essential spectra of bounded linear operators
2
2
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 <that> $gamma(U^m)<1$ where $gamma(.)$ is a measure of
noncompactness.
1

1057
1066


F.
Abdmouleh
University of Sfax Tunisia
University of Sfax Tunisia
Tunisia
faical_abdmouleh@yahoo.fr
Fredholm operators
lower (respectively
upper) semiFredholm operators
essential spectra
compact operators
A twophase free boundary problem for a semilinear elliptic equation
2
2
In this paper we study a twophase 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 nonisolated singular points, and the same result holds for $ngeq3$ under an ($n1$)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 ($n2$)rectifiable.
1

1067
1086


A.
Aghajani
Iran University of Science and Technology
Iran University of Science and Technology
Iran
aghajani@iust.ac.ir
Free boundary problems
optimal growth
regularity
singular set
Existence of a ground state solution for a class of $p$laplace equations
2
2
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 AmbrosettiRabinowitz condition.
1

1087
1095


Y. H.
Deng
Department of Hengyang normal university
Department of Hengyang normal university
China (P. R. C.)
dengchen4032@126.com
Ground state solution
$p$Laplace equation
minimization problem
the Schwartz symmetrization process
Theoretical results on the global GMRES method for solving generalized Sylvester matrix equations
2
2
The global generalized minimum residual (GlGMRES)
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 GlGMRES method for solving general (coupled) linear matrix
equations. In addition, the GlGMRES method for solving the generalized
Sylvestertranspose matrix equation is briefly studied.
Finally, some numerical experiments are presented to illustrate
the efficiently of the GlGMRES method for solving the general
linear matrix equations.
1

1097
1117


F.
Panjeh Ali Beik
ValiAsr University of Rafsanjan
ValiAsr University of Rafsanjan
Iran
f.beik@vru.ac.ir
Linear matrix equation
Krylov subspace
global GMRES
Schur complement
On the elliptic curves of the form $ y^2=x^33px $
2
2
By the MordellWeil 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^33px $ of elliptic curves, where p is a prime.
1

1119
1133


H.
Daghigh
University of Kashan
University of Kashan
Iran
hassan@kashanu.ac.ir


S.
Didari
University of Kashan
University of Kashan
Iran
s.didari@grad.kashanu.ac.ir
Elliptic Curves
MordellWeil group
Selmer Group
Birch and SwinnertonDyer conjecture
Non existence of totally contact umbilical slant lightlike submanifolds of indefinite Sasakian manifolds
2
2
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.
1

1135
1151


R.
Sachdeva
School of Mathematics and Computer Applications,
Thapar University,
Patiala
School of Mathematics and Computer Applications,
T
India
rashmi.sachdeva86@gmail.com


R.
Kumar
University College of Engineering
Punjabi University, Patiala
University College of Engineering
Punjabi
India
dr_rk37c@yahoo.co.in


S.
Singh Bhatia
School of
Mathematics and Computer Applications,
Thapar University,
Patiala
School of
Mathematics and Computer Applications,
T
India
ssbhatia@thapar.edu
Slant lightlike submanifolds
totally contact umbilical lightlike submanifolds
totally contact geodesic lightlike submanifolds
indefinite Sasakian manifolds
Maximal elements of $mathscr{F}_{C,theta}$majorized mappings and applications to generalized games
2
2
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 oneperson games, qualitative games and generalized games are obtained. Our results unify and generalize most known results in recent literature.
1

1153
1167


Y. M.
Du
Department of Mathematics,
Tianjin Polytechnic University
Department of Mathematics,
Tianjin Polytechnic
China (P. R. C.)
duyanmei@tjpu.edu.cn
Maximal elements
generalized games
$mathscr{F}_{C
theta}$majorized mappings
$FC$space
Lietype higher derivations on operator algebras
2
2
Motivated by the intensive and powerful works concerning additive
mappings of operator algebras, we mainly study Lietype 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 properlyposed at the end of this article.
1

1169
1194


D.
Han
jiaozuo
jiaozuo
China (P. R. C.)
dahai_hd@bit.edu.cn
Lie higher derivation
Lie triple higher derivation
operator algebra
Lower semicontinuity for parametric setvalued vector equilibriumlike problems
2
2
A concept of weak $f$property for a setvalued 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
setvalued vector equilibriumlike problems are derived by using a density result and scalarization method, where the
constraint set $K$ and a setvalued mapping $H$ are perturbed by
different parameters.
1

1195
1212


J. W.
Chen
School of Mathematics and Statistics, Southwest University
School of Mathematics and Statistics, Southwest
China (P. R. C.)
j.w.chen713@163.com
Lower semicontinuity
parametric setvalued vector equilibriumlike problem
weak $f$property
positive proper efficient solution
Groups in which every subgroup has finite index in its Frattini closure
2
2
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), 559562.] 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 $hat X:Xleq k$ for each subgroup $X$, then $G$ is finiteby$IM$byfinite, i.e., $G$ contains a finite normal subgroup $N$ such that $G/N$ is a finite extension of an $IM$group.
1

1213
1226


F.
De Giovanni
Università di Napoli Federico II
Università di Napoli Federico II
Italy
degiovan@unina.it


D.
Imperatore
Università di Napoli "Federico II"
Dipartimento di Matematica e Applicazioni
Università di Napoli "Federico
Italy
diana.imperatore@unina.it
Maximal subgroup
Frattini closure
$FM$group
On $L_1$weak ergodicity of nonhomogeneous continuoustime Markov processes
2
2
In the present paper we investigate the $L_1$weak ergodicity of
nonhomogeneous continuoustime 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.
1

1227
1242


F.
Mukhamedov
International Islamic University of Malaysia
International Islamic University of Malaysia
Malaysia
far75m@yandex.ru
Weak ergodicity
$L_1$weak ergodicity
nonhomogeneous Markov process, quadratic stochastic process
On finite $X$decomposable groups for $X={1, 2, 3, 4}$
2
2
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 nonempty 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 $X={1, 2, 3,
4}$.
1

1243
1262


X.
Guo
Shanghai University
Shanghai University
China (P. R. C.)
xyguo@shu.edu.cn


R.
Chen
Shanghai University
Shanghai University
China (P. R. C.)
fang119128@126.com
$n$decomposable
$X$decomposable
$G$conjugacy classes
Baer's lower nilradical and classical prime submodules
2
2
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.
1

1263
1274


E.
Yılmaz
Abant İzzet Baysal University
Abant İzzet Baysal University
Turkey
yilmaz_e2@ibu.edu.tr


S.
Kılıçarslan Cansu
Istanbul Technical University
Istanbul Technical University
Turkey
sibelkcansu@gmail.com
Envelopes
Nilradical
classical prime submodules
semiprime submodules
Convergence analysis of spectral Tau method for fractional Riccati differential equations
2
2
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.
1

1275
1290


P.
Mokhtary
Muslim
Muslim
Iran
mokhtary.payam@gmail.com


F.
Ghoreishi
muslim
muslim
Iran
ghoreishif@kntu.ac.ir
Fractional Riccati differential equations
Caputo derivative
spectral Tau method
Nilpotent groups with three conjugacy classes of nonnormal subgroups
2
2
Let $G$ be a finite group and $nu(G)$ denote the number of conjugacy classes of nonnormal subgroups of $G$. In this paper, all nilpotent groups $G$ with $nu(G)=3$ are classified.
1

1291
1300


H.
Mousavi
Department of Mathematics, University of Tabriz' P.O.Box 5166617766
Department of Mathematics, University of
Iran
mousavi.hamid@gmail.com
Nonnormal subgroup
conjugacy class
nilpotent group
Existence and multiplicity of nontrivial solutions for $p$Laplacian system with nonlinearities of concaveconvex type and signchanging weight functions
2
2
This paper is concerned with the existence of multiple positive
solutions for a quasilinear elliptic system involving concaveconvex
nonlinearities
and signchanging weight functions. With the help of the Nehari manifold and PalaisSmale 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 $mathbb{R}^2$.
1

1301
1326


S.
Khademloo
Department of basic sciences, babol noushirvani university of technology, babol, Iran
Department of basic sciences, babol noushirvani
Iran
s.khademloo@nit.ac.ir


S.
Khanjany Ghazi
Babol university of technology
Babol university of technology
Iran
s.khanjany@gmail.com
variational methods
Nehari manifold
Dirichlet boundary condition
signchanging weight functions
ILU and IUL factorizations obtained from forward and backward factored approximate inverse algorithms
2
2
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.
1

1327
1346


A.
Rafiei
Hakim Sabzevari University
Hakim Sabzevari University
Iran
rafiei.am@gmail.com
ILU factorization
IUL factorization
forward $FAPINV$ process
backward $FAPINV$ process
linked lists trick