2015
41
5
5
0
The stability of the solution of an inverse spectral problem with a singularity
2
2
This paper deals with the singular SturmLiouville expressions $ ell y = y''+q(x)y=lambda y $ on a finite interval, where the potential function $q$ is real and has a singularity inside the interval. Using the asymptotic estimates of a spectral fundamental system of solutions of SturmLiouville equation, the asymptotic form of the solution of the equation (0.1) and the eigenvalues are obtained, and proves the stability of the solution of the inverse spectral problem.
1

1061
1070


S.
Mosazadeh
Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, Iran
Department of Pure Mathematics, Faculty
Iran
s.mosazadeh@kashanu.ac.ir
SturmLiouville
singularity
stability
boundary value problem
inverse spectral problem
Zero sets in pointfree topology and strongly $z$ideals
2
2
In this paper a particular case of zideals, called strongly zideal, is defined by introducing zero sets in pointfree topology. We study strongly zideals, their relation with zideals and the role of spatiality in this relation. For strongly zideals, 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 realvalued continuous functions for frame L, does not have more than one element. Also, zfilters are introduced in terms of pointfree topology. Then the relationship between zfilters 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.
1

1071
1084


A. A.
Estaji
Faculty of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran.
Faculty of Mathematics and Computer Sciences,
Iran
aaestaji@hsu.ac.ir


A.
Karimi Feizabadi
Department of Mathematics, Gorgan Branch, Islamic Azad University, Gorgan, Iran.
Department of Mathematics, Gorgan
Iran
akarimi@gorganiau.ac.ir


M.
Abedi
Faculty of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran.
Faculty of Mathematics and Computer Sciences,
Iran
abedi@esfarayen.ac.ir
Frame
ring of realvalued continuous functions
zero set
$z$ideal
strongly $z$ideal
Some concavity properties for general integral operators
2
2
Let $C_0(alpha)$ 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.
1

1085
1092


M.
Darus
School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi
Selangor DE, Malaysia
School of Mathematical Sciences, Faculty
Malaysia
maslina@ukm.my


I.
Aldawish
School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi
Selangor DE, Malaysia
School of Mathematical Sciences, Faculty
Malaysia
ibtisamaldawish@gmail.com


R. W.
Ibrahim
Institute of Mathematical Sciences, Universiti Malaya, 50603, Malaysia.
Institute of Mathematical Sciences,
Malaysia
rabhaibrahim@yahoo.com
Unit disk
univalent function
concave function
integral operator
On dimensions of derived algebra and central factor of a Lie algebra
2
2
Some Lie algebra analogues of Schur's theorem and its converses are presented. As a result, it is shown that for a capable Lie algebra L we always have dim L=Z(L) 2(dim(L2))2. We also give give some examples sup porting our results.
1

1093
1102


H.
Arabyani
Mashhad Branch, Islamic Azad University, Mashhad, Iran.
Mashhad Branch, Islamic Azad University,
Iran
arabyani_h@yahoo.com


F.
Saeedi
Mashhad Branch, Islamic Azad University, Mashhad, Iran.
Mashhad Branch, Islamic Azad University,
Iran
saeedi@mshdiau.ac.ir
Capable Lie algebra
minimal generator
derived algebra
central factor
Faber polynomial coefficient estimates for biunivalent functions defined by subordinations
2
2
A function is said to be biunivalent 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 biunivalent functions let alone about their coefficients. In this paper we use the Faber polynomial expansions to find coefficient estimates for four wellknown classes of biunivalent 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.
1

1103
1119


S. G.
Hamidi
Department of Mathematics, Brigham Young University, Provo, Utah,
U.S.A.
Department of Mathematics, Brigham
United States of America
s.hamidi_61@yahoo.com


J. M.
Jahangiri
Kent State University
Kent State University
United States of America
jjahangi@kent.edu
faber polynomials
biunivalent
subordinations
Entire functions sharing a small entire function with their difference operators
2
2
In this paper, we mainly investigate the uniqueness of the entire function sharing a small entire function with its high difference operators. We obtain one results, which can give a negative answer to an uniqueness question relate to the Bruck conjecture dealt by Liu and Yang. Meanwhile, we also establish a difference analogue of the Bruck conjecture for entire functions of order less than 2, which improves some results obtained by Liu and Yang.
1

1121
1129


J.
Zhang
College of Science,
China University of Mining and Technology, Xuzhou 221116, PR
China
College of Science,
China University
China (P. R. C.)
zhangjie1981@cumt.edu.cn


H. Y.
Kang
College of Science,
China University of Mining and Technology, Xuzhou 221116, PR
China
College of Science,
China University
China (P. R. C.)
haiyankang@cumt.edu.cn


L. W.
Liao
Department of Mathematics, Nanjing University, Nanjing 210093, PR
China
Department of Mathematics, Nanjing
China (P. R. C.)
maliao@nju.edu.cn
Entire function
difference equation
small function
New conditions on ground state solutions for Hamiltonian elliptic systems with gradient terms
2
2
This paper is concerned with the following elliptic system:$$ left{ begin{array}{ll} triangle u + b(x)nabla u + V(x)u=g(x, v), triangle v  b(x)nabla v + V(x)v=f(x, u), end{array} right. $$ for $x in {R}^{N}$, where $V $, $b$ and $W$ are 1periodic in $x$, and $f(x,t)$, $g(x,t)$ are superquadratic. 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 $g$.
1

1131
1146


F. F.
Liao
School of Mathematics and Statistics Central South University Changsha, 410083, Hunan newline Department of Mathematics, Xiangnan University, Chenzhou, 423000, Hunan, P.R&lrm
School of Mathematics and Statistics Central
China (P. R. C.)
liaofangfang1981@126.com


X. H.
Tang
School of Mathematics and Statistics Central South University Changsha, 410083, Hunan, P.R. China
School of Mathematics and Statistics Central
China (P. R. C.)
tangxh@mail.csu.edu.cn


D. D.
Qin
School of Mathematics and Statistics Central South University Changsha, 410083, Hunan, P.R. China
School of Mathematics and Statistics Central
China (P. R. C.)
qindd132@163.com
Hamiltonian elliptic system
superlinear
ground state solutions
strongly indefinite functionals
Random approximation of a general symmetric equation
2
2
In this paper, we prove the HyersUlam stability of the symmetric functionalequation $f(ph_1(x,y))=ph_2(f(x), f(y))$ in random normed spaces. As a consequence, weobtain some random stability results in the sense of HyersUlamRassias.
1

1147
1159


H.
Rezaei
Department of
Mathematics, University
of Yasouj, P.O. Box 7591474831, Yasouj, Iran
Department of
Mathematics,
Iran
rezaei@mail.yu.ac.ir


C.
Park
Department of
Mathematics, Research Institute for Natural Sciences, University
of Hanyang, P.O. Box 133791, Seoul, Korea
Department of
Mathematics,
South Korea
baak@hanyang.ac.kr
HyersUlam stability
general symmetric equation
random normed space
Some approximate fixed point results for proximinal valued $beta$contractive multifunctions
2
2
In 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.
1

1161
1172


M. A.
Miandaragh
Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran
Department of Mathematics, Azarbaijan
Iran
mehdi59ir@yahoo.com


A.
Pitea
Department of Mathematics, University Politehnica of Bucharest, Bucharest, Romania
Department of Mathematics, University
Romania
arianapitea@yahoo.com


Sh.
Rezapour
Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran
Department of Mathematics, Azarbaijan
Iran
sh.rezapour@azaruniv.edu
$beta$contractive multifunction
approximate fixed point
proximinal
fixed point
On properties of dependent general progressively typeII censored order statistics
2
2
In the literature of lifetesting, general progressive censoring has been studied extensively. But, all the results have been developed under the key assumption that the units undertest are independently distributed. In this paper, we study general progressively TypeII censored order statistics arising from identical units under test which are jointly distributed according to an Archimedean copula with completely monotone generator (GPCOSARCMII). Density, distribution and joint density functions of GPCOSARCMII are all derived. Finally, some examples of GPCOSARCMII are provided.
1

1173
1182


M.
Rezapour
Department of Statistics. Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
Department of Statistics. Faculty
Iran
mohsenrzp@gmail.com


M. H.
Alamatsaz
Department of Statistics, University of Isfahan,Isfahan, Iran newline
Naghshejahan Institute of Higher Education, Baharestan, Isfahan, Iran
Department of Statistics, University
Iran
alamatho@sci.ui.ac.ir
Stochastic ordering
Archimedean copula
order statistics
general progressive censoring
reliability systems
On Sandwich theorems for certain classes of analytic functions
2
2
The purpose of this present paper is to derive some subordination and superordination results for certain analytic functions in the open unit disk. Relevant connections of the results, which are presented in the paper, with various known results are also considered.
1

1183
1193


R.
Aghalary
Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran
Department of Mathematics, Faculty
Iran
raghalary@yahoo.com


A.
Ebadian
Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran
Department of Mathematics, Faculty
Iran
a.ebadian@urmai.ac.ir


M.
Mafakheri
Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran
Department of Mathematics, Faculty
Iran
m.mafakheri85@yahoo.com
Subordination
superordination
integral operators
Hadamard product
A note on critical point and blowup rates for singular and degenerate parabolic equations
2
2
In this paper, we consider singular and degenerate parabolic equations$$u_t =(x^alpha u_x)_x +u^m (x_0,t)v^{n} (x_0,t),quadv_t =(x^beta v_x)_x +u^q (x_0,t)v^{p} (x_0,t),$$ in $(0,a)times (0,T)$, subject to nullDirichlet boundary conditions, where $m,n, p,qge 0$, $alpha, betain [0,2)$ and $x_0in (0,a)$. The optimal classification of nonsimultaneous and simultaneous blowup solutions is determined. Additionally, we obtain blowup rates and sets for the solutions. The singular rates for the derivation of the solutions are given.
1

1195
1205


B.
Liu
College of Science, China University of Petroleum, Qingdao 266580, Shandong Province, P.R. China
College of Science, China University
China (P. R. C.)
bcliu@aliyun.com


F.
Li
College of Science, China University of PetroleumCollege of Science, China University of Petroleum, Qingdao 266580, Shandong Province, P.R. China
College of Science, China University of PetroleumC
China (P. R. C.)
fjli@upc.edu.cn
singular and degenerate parabolic equations
blowup classification
simultaneous blowup rates
Automatic continuity of surjective $n$homomorphisms on Banach algebras
2
2
In this paper, we show that every surjective $n$homomorphism ($n$antihomomorphism) from a Banach algebra $A$ into a semisimple Banach algebra $B$ is continuous.
1

1207
1211


M.
Eshaghi Gordji
Department of Mathematics, Semnan University, P. O. Box 35195363, Semnan, Iran, and,
Center of Excellence in Nonlinear Analysis and Applications (CENAA), Semnan University&
Department of Mathematics, Semnan
Iran
madjid.eshaghi@gmail.com


A.
Jabbari
Young Researchers and Elite Club, Ardabil Branch, Islamic Azad University, Ardabil, Iran
Young Researchers and Elite Club,
Iran
jabbari_al@yahoo.com


E.
Karapinar
Department of Mathematics, Atilim University, 06836, Incek, Ankara, Turkey
Department of Mathematics, Atilim
Turkey
ekarapinar@atilim.edu.tr
Banach algebra
$n$homomorphism
semisimple algebra
Approximation of an additive mapping in various normed spaces
2
2
In this paper, using the fixed point and direct methods, we prove the generalized HyersUlamRassias stability of the following CauchyJensen additive functional equation: begin{equation}label{main} fleft(frac{x+y+z}{2}right)+fleft(frac{xy+z}{2}right)=f(x)+f(z)end{equation} in various normed spaces. The concept of HyersUlamRassias stability originated from Th. M. Rassias’ stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297300.
1

1213
1233


M. S.
Shiri
Department of Mathematics, Arsanjan Branch, Islamic Azad University, Arsanjan,
Iran.
Department of Mathematics, Arsanjan
Iran
m.s.shiri@gmail.com


H.
Azadi Kenary
Department of Mathematics, College of Sciences, Yasouj University, Yasouj 7591874831,
Iran.
Department of Mathematics, College
Iran
azadi@mail.yu.ac.ir
HyersUlamRassias stability
nonArchimedean normed spaces
random normed spaces
A hybrid method for singularly perturbed delay boundary value problems exhibiting a right boundary layer
2
2
The aim of this paper is to present a numerical method for singularly perturbed convectiondiffusion 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.
1

1235
1247


F. Z.
Geng
Department of Mathematics, Changshu Institute of Technology,
Changshu, Jiangsu 215500, China
Department of Mathematics, Changshu
China, R. O. C.
gengfazhan@sina.com


S. P.
Qian
Department of Mathematics, Changshu Institute of Technology,
Changshu, Jiangsu 215500, China
Department of Mathematics, Changshu
China (P. R. C.)
qsp3@cslg.cn
Reproducing kernel method
singularly perturbed problems
delay boundary value problems
A relative extending module and torsion precovers
2
2
We 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.
1

1249
1257


M.
Kemal Berktas
Department of
Mathematics, Usak University, Usak, Turkey
Department of
Mathematics,
Turkey
mkb@usak.edu.tr


S.
Dogruoz
Department of
Mathematics, Adnan Menderes University, Aydin, Turkey
Department of
Mathematics,
Turkey
sdogruoz@adu.edu.tr
$tau$pure submodule
extending module
torsion theory
(pre)covers
$tau$cocompact module
A uniform approximation method to solve absolute value equation
2
2
In this paper, we propose a parametric uniform approximation method to solve NPhard absolute value equations. For this, we uniformly approximate absolute value in such a way that the nonsmooth absolute value equation can be 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. Moreover, preliminary numerical results indicate effectiveness and robustness of our method to solve absolute value equations.
1

1259
1269


H.
Esmaeili
Department of
Mathematics, BuAli Sina University, Hamedan, Iran
Department of
Mathematics,
Iran
esmaeili47@yahoo.com


E.
Mahmoodabadi
Department of
Mathematics, BuAli Sina University, Hamedan, Iran
Department of
Mathematics,
Iran
mahmoodabadi@basu.ac.ir


M.
Ahmadi
Department of
Mathematics, Malayer University, Malayer, Iran
Department of
Mathematics,
Iran
mehdi.math86@yahoo.com
Absolute value equation
Uniform approximation
Newton method
On generalized reduced representations of restricted Lie superalgebras in prime characteristic
2
2
Let $mathbb{F}$ be an algebraically closed field of prime characteristic $p>2$ and $(g, [p])$ a finitedimensional restricted Lie superalgebra over $mathbb{F}$. It is showed that anyfinitedimensional indecomposable $g$module is a module for a finitedimensional 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.
1

1271
1285


Y. F.
Yao
Department of Mathematics, Shanghai Maritime University, Shanghai 201306, China
Department of Mathematics, Shanghai
China (P. R. C.)
yfyao@shmtu.edu.cn


Y. Y.
Li
School of Fundamental Studies, Shanghai University of Engineering Science, Shanghai 201620, China
School of Fundamental Studies, Shanghai
China (P. R. C.)
yiyang_li1979@aliyun.com
Restricted Lie superalgebra
generalized reduced representation
indecomposable module
$p$character
block
Hypersurfaces of a Sasakian space form with recurrent shape operator
2
2
Let $(M^{2n},g)$ be a real hypersurface with recurrent shapeoperator and tangent to the structure vector field $xi$ of the Sasakian space form$widetilde{M}(c)$. We show that if the shape operator $A$ of $M$ isrecurrent then it is parallel. Moreover, we show that $M$is locally a product of two constant $phi$sectional curvaturespaces.
1

1287
1297


E.
Abedi
Department of
Mathematics, Azarbaijan Shahid Madani University, P.O. Box 53751 71379, Tabriz, Iran
Department of
Mathematics,
Iran
esabedi@azaruniv.edu


M.
Ilmakchi
Department of
Mathematics, Azarbaijan Shahid Madani University, P.O. Box 53751 71379, Tabriz, Iran
Department of
Mathematics,
Iran
mohammad_ilmakchi@yahoo.com
Recurrent hypersurfaces
Sasakian manifold
On a class of Kirchhoff type systems with nonlinear boundary condition
2
2
A class of Kirchhoff type systems with nonlinear boundary conditions considered in this paper. By using the method of Nehari manifold, it is proved that the system possesses two nontrivial nonnegative solutions if the parameters are small enough.
1

1299
1313


S. H.
Rasouli
Department of Mathematics, Faculty of Basic Sciences,
Babol University of Technology, Babol, Iran
Department of Mathematics, Faculty
Iran
s.h.rasouli@nit.ac.ir


H.
Norouzi
Department of Mathematics, Faculty of Basic Sciences,
Babol University of Technology, Babol, Iran
Department of Mathematics, Faculty
Iran
h.norouzi555@gmail.com
Kirchhoff type systems
Nonlinear boundary condition
Nehari manifold