eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-10-01
41
5
1061
1070
673
The stability of the solution of an inverse spectral problem with a singularity
S. Mosazadeh
s.mosazadeh@kashanu.ac.ir
1
Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, Iran
This paper deals with the singular Sturm-Liouville 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 Sturm-Liouville 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.
http://bims.iranjournals.ir/article_673_9e3d491594023542123a64783d14393b.pdf
Sturm-Liouville
singularity
stability
boundary
value problem
inverse spectral problem
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-10-01
41
5
1071
1084
674
Zero sets in pointfree topology and strongly $z$-ideals
A. A. Estaji
aaestaji@hsu.ac.ir
1
A. Karimi Feizabadi
akarimi@gorganiau.ac.ir
2
M. Abedi
abedi@esfarayen.ac.ir
3
Faculty of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran.
Department of Mathematics, Gorgan Branch, Islamic Azad University, Gorgan, Iran.
Faculty of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran.
In 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.
http://bims.iranjournals.ir/article_674_3f6d2ac9d9b3a090bc73c24dce7a7c62.pdf
Frame
ring of real-valued continuous
functions
zero set
$z$-ideal
strongly $z$-ideal
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-10-01
41
5
1085
1092
675
Some concavity properties for general integral operators
M. Darus
maslina@ukm.my
1
I. Aldawish
ibtisamaldawish@gmail.com
2
R. W. Ibrahim
rabhaibrahim@yahoo.com
3
School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi Selangor DE, Malaysia
School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi Selangor DE, Malaysia
Institute of Mathematical Sciences, Universiti Malaya, 50603, Malaysia.
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.
http://bims.iranjournals.ir/article_675_ece62f5acf56020a260689a55dc1a3c7.pdf
Unit disk
univalent function
concave function
integral operator
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-10-01
41
5
1093
1102
676
On dimensions of derived algebra and central factor of a Lie algebra
H. Arabyani
arabyani_h@yahoo.com
1
F. Saeedi
saeedi@mshdiau.ac.ir
2
Mashhad Branch, Islamic Azad University, Mashhad, Iran.
Mashhad Branch, Islamic Azad University, Mashhad, Iran.
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.
http://bims.iranjournals.ir/article_676_3da7c8c3cba5c1fff10c3774678d395f.pdf
Capable Lie algebra
minimal generator
derived algebra
central factor
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-10-01
41
5
1103
1119
677
Faber polynomial coefficient estimates for bi-univalent functions defined by subordinations
S. G. Hamidi
s.hamidi_61@yahoo.com
1
J. M. Jahangiri
jjahangi@kent.edu
2
Department of Mathematics, Brigham Young University, Provo, Utah, U.S.A.
Kent State University
A 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.
http://bims.iranjournals.ir/article_677_e5131ddd5a6ee9375c73e35f78d96727.pdf
faber polynomials
bi-univalent
subordinations
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-10-01
41
5
1121
1129
678
Entire functions sharing a small entire function with their difference operators
J. Zhang
zhangjie1981@cumt.edu.cn
1
H. Y. Kang
haiyankang@cumt.edu.cn
2
L. W. Liao
maliao@nju.edu.cn
3
College of Science, China University of Mining and Technology, Xuzhou 221116, PR China
College of Science, China University of Mining and Technology, Xuzhou 221116, PR China
Department of Mathematics, Nanjing University, Nanjing 210093, PR China
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.
http://bims.iranjournals.ir/article_678_f173efbc4f3bdd34d7f205f1b5caf94a.pdf
Entire function
difference equation
small function
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-10-01
41
5
1131
1146
679
New conditions on ground state solutions for Hamiltonian elliptic systems with gradient terms
F. F. Liao
liaofangfang1981@126.com
1
X. H. Tang
tangxh@mail.csu.edu.cn
2
D. D. Qin
qindd132@163.com
3
School of Mathematics and Statistics Central South University Changsha, 410083, Hunan \newline Department of Mathematics, Xiangnan University, Chenzhou, 423000, Hunan, P.R. China
School of Mathematics and Statistics Central South University Changsha, 410083, Hunan, P.R. China
School of Mathematics and Statistics Central South University Changsha, 410083, Hunan, P.R. China
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 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 $g$.
http://bims.iranjournals.ir/article_679_372071dc741478798df76bfd0df0b3cd.pdf
Hamiltonian elliptic system
superlinear
ground state solutions
strongly indefinite functionals
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-10-01
41
5
1147
1159
680
Random approximation of a general symmetric equation
H. Rezaei
rezaei@mail.yu.ac.ir
1
C. Park
baak@hanyang.ac.kr
2
Department of Mathematics, University of Yasouj, P.O. Box 75914-74831, Yasouj, Iran
Department of Mathematics, Research Institute for Natural Sciences, University of Hanyang, P.O. Box 133-791, Seoul, Korea
In this paper, we prove the Hyers-Ulam 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 Hyers-Ulam-Rassias.
http://bims.iranjournals.ir/article_680_0d027ec6397c61cc337361620f39c153.pdf
Hyers-Ulam stability
general symmetric equation
random normed space
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-10-01
41
5
1161
1172
681
Some approximate fixed point results for proximinal valued $beta$-contractive multifunctions
M. A. Miandaragh
mehdi59ir@yahoo.com
1
A. Pitea
arianapitea@yahoo.com
2
Sh. Rezapour
sh.rezapour@azaruniv.edu
3
Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran
Department of Mathematics, University Politehnica of Bucharest, Bucharest, Romania
Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran
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.
http://bims.iranjournals.ir/article_681_1b2286e1c66522fe865913deee6bec6d.pdf
$beta$-contractive multifunction
approximate fixed point
proximinal
fixed point
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-10-01
41
5
1173
1182
682
On properties of dependent general progressively type-II censored order statistics
M. Rezapour
mohsenrzp@gmail.com
1
M. H. Alamatsaz
alamatho@sci.ui.ac.ir
2
Department of Statistics. Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
Department of Statistics, University of Isfahan,Isfahan, Iran \newline Naghshejahan Institute of Higher Education, Baharestan, Isfahan, Iran
In 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 undertest 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.
http://bims.iranjournals.ir/article_682_a432686abd7f287dfc602ed35e2606ef.pdf
Stochastic ordering
Archimedean copula
order statistics
general progressive censoring
reliability systems
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-10-01
41
5
1183
1193
683
On Sandwich theorems for certain classes of analytic functions
R. Aghalary
raghalary@yahoo.com
1
A. Ebadian
a.ebadian@urmai.ac.ir
2
M. Mafakheri
m.mafakheri85@yahoo.com
3
Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran
Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran
Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran
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.
http://bims.iranjournals.ir/article_683_35ce3e09e9943be0669ec43da1319871.pdf
Subordination
superordination
integral operators
Hadamard product
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-10-01
41
5
1195
1205
684
A note on critical point and blow-up rates for singular and degenerate parabolic equations
B. Liu
bcliu@aliyun.com
1
F. Li
fjli@upc.edu.cn
2
College of Science, China University of Petroleum, Qingdao 266580, Shandong Province, P.R. China
College of Science, China University of PetroleumCollege of Science, China University of Petroleum, Qingdao 266580, Shandong Province, P.R. China
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 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.
http://bims.iranjournals.ir/article_684_61771b8a5c6442802437ee788e2c3fce.pdf
singular and degenerate parabolic equations
blow-up classification
simultaneous blow-up rates
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-10-01
41
5
1207
1211
685
Automatic continuity of surjective $n$-homomorphisms on Banach algebras
M. Eshaghi Gordji
madjid.eshaghi@gmail.com
1
A. Jabbari
jabbari_al@yahoo.com
2
E. Karapinar
ekarapinar@atilim.edu.tr
3
Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran, and, Center of Excellence in Nonlinear Analysis and Applications (CENAA), Semnan University, Iran
Young Researchers and Elite Club, Ardabil Branch, Islamic Azad University, Ardabil, Iran
Department of Mathematics, Atilim University, 06836, Incek, Ankara, Turkey
In 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.
http://bims.iranjournals.ir/article_685_102e171d4b2c18e7c75b1a1ba7261d14.pdf
Banach algebra
$n$-homomorphism
semisimple algebra
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-10-01
41
5
1213
1233
686
Approximation of an additive mapping in various normed spaces
M. S. Shiri
m.s.shiri@gmail.com
1
H. Azadi Kenary
azadi@mail.yu.ac.ir
2
Department of Mathematics, Arsanjan Branch, Islamic Azad University, Arsanjan, Iran.
Department of Mathematics, College of Sciences, Yasouj University, Yasouj 75918-74831, Iran.
In this paper, using the fixed point and direct methods, we prove the generalized Hyers-Ulam-Rassias stability of the following Cauchy-Jensen additive functional equation: begin{equation}label{main} fleft(frac{x+y+z}{2}right)+fleft(frac{x-y+z}{2}right)=f(x)+f(z)end{equation} in various normed spaces. The concept of Hyers-Ulam-Rassias 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), 297-300.
http://bims.iranjournals.ir/article_686_ef1ccfb37f5b6e7b4200e921fa0b1fdd.pdf
Hyers-Ulam-Rassias stability
non-Archimedean normed spaces
random normed spaces
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-10-01
41
5
1235
1247
687
A hybrid method for singularly perturbed delay boundary value problems exhibiting a right boundary layer
F. Z. Geng
gengfazhan@sina.com
1
S. P. Qian
qsp3@cslg.cn
2
Department of Mathematics, Changshu Institute of Technology, Changshu, Jiangsu 215500, China
Department of Mathematics, Changshu Institute of Technology, Changshu, Jiangsu 215500, China
The 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.
http://bims.iranjournals.ir/article_687_2d4a3117a1c61a52fba7f8ef99c06aa8.pdf
Reproducing kernel method
singularly perturbed problems
delay boundary value problems
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-10-01
41
5
1249
1257
688
A relative extending module and torsion precovers
M. Kemal Berktas
mkb@usak.edu.tr
1
S. Dogruoz
sdogruoz@adu.edu.tr
2
Department of Mathematics, Usak University, Usak, Turkey
Department of Mathematics, Adnan Menderes University, Aydin, Turkey
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.
http://bims.iranjournals.ir/article_688_6e9d588573e58fc2ad8596db373dfa5f.pdf
$tau$-pure submodule
extending module
torsion theory
(pre)covers
$tau$-cocompact module
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-10-01
41
5
1259
1269
689
A uniform approximation method to solve absolute value equation
H. Esmaeili
esmaeili47@yahoo.com
1
E. Mahmoodabadi
mahmoodabadi@basu.ac.ir
2
M. Ahmadi
mehdi.math86@yahoo.com
3
Department of Mathematics, Bu-Ali Sina University, Hamedan, Iran
Department of Mathematics, Bu-Ali Sina University, Hamedan, Iran
Department of Mathematics, Malayer University, Malayer, Iran
In this paper, we propose a parametric uniform approximation method to solve NP-hard 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.
http://bims.iranjournals.ir/article_689_6b5fdd857f308ef88432bda7c9710f7f.pdf
Absolute value equation
Uniform approximation
Newton method
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-10-01
41
5
1271
1285
690
On generalized reduced representations of restricted Lie superalgebras in prime characteristic
Y. F. Yao
yfyao@shmtu.edu.cn
1
Y. Y. Li
yiyang_li1979@aliyun.com
2
Department of Mathematics, Shanghai Maritime University, Shanghai 201306, China
School of Fundamental Studies, Shanghai University of Engineering Science, Shanghai 201620, China
Let $mathbb{F}$ 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 anyfinite-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.
http://bims.iranjournals.ir/article_690_b7609c817d7a1f6ca7340a97dd274f0f.pdf
Restricted Lie superalgebra
generalized reduced
representation
indecomposable module
$p$-character
block
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-10-01
41
5
1287
1297
691
Hypersurfaces of a Sasakian space form with recurrent shape operator
E. Abedi
esabedi@azaruniv.edu
1
M. Ilmakchi
mohammad_ilmakchi@yahoo.com
2
Department of Mathematics, Azarbaijan Shahid Madani University, P.O. Box 53751 71379, Tabriz, Iran
Department of Mathematics, Azarbaijan Shahid Madani University, P.O. Box 53751 71379, Tabriz, Iran
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.
http://bims.iranjournals.ir/article_691_bc7b646fa536b7aef990872004888cf1.pdf
Recurrent hypersurfaces
Sasakian manifold
eng
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
2015-10-01
41
5
1299
1313
692
On a class of Kirchhoff type systems with nonlinear boundary condition
S. H. Rasouli
s.h.rasouli@nit.ac.ir
1
H. Norouzi
h.norouzi555@gmail.com
2
Department of Mathematics, Faculty of Basic Sciences, Babol University of Technology, Babol, Iran
Department of Mathematics, Faculty of Basic Sciences, Babol University of Technology, Babol, Iran
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.
http://bims.iranjournals.ir/article_692_19b0208133e50f394ec97856bcbc7c45.pdf
Kirchhoff type systems
Nonlinear
boundary condition
Nehari manifold