2019-03-26T23:58:45Z
http://bims.iranjournals.ir/?_action=export&rf=summon&issue=75
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
5
Bulletin of the Iranian Mathematical Society
2015
10
01
http://bims.iranjournals.ir/article_672_a5897169b8de58a73b14cc1ee2243b18.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
5
The stability of the solution of an inverse spectral problem with a singularity
S.
Mosazadeh
This paper deals with the singular Sturm-Liouville expressions <br />$ <br />ell y = -y''+q(x)y=lambda y <br />$ <br />on a finite interval, where the potential function $q$ is real and <br />has a singularity inside the interval. <br />Using the asymptotic estimates of a <br />spectral fundamental system of solutions of Sturm-Liouville <br />equation, the asymptotic form of the solution of the <br />equation (0.1) and the eigenvalues are obtained, and proves the stability of the <br />solution of the inverse spectral problem.
Sturm-Liouville
singularity
stability
boundary
value problem
inverse spectral problem
2015
10
01
1061
1070
http://bims.iranjournals.ir/article_673_9e3d491594023542123a64783d14393b.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
5
Zero sets in pointfree topology and strongly $z$-ideals
A. A.
Estaji
A.
Karimi Feizabadi
M.
Abedi
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.
Frame
ring of real-valued continuous
functions
zero set
$z$-ideal
strongly $z$-ideal
2015
10
01
1071
1084
http://bims.iranjournals.ir/article_674_3f6d2ac9d9b3a090bc73c24dce7a7c62.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
5
Some concavity properties for general integral operators
M.
Darus
I.
Aldawish
R. W.
Ibrahim
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.
Unit disk
univalent function
concave function
integral operator
2015
10
01
1085
1092
http://bims.iranjournals.ir/article_675_ece62f5acf56020a260689a55dc1a3c7.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
5
On dimensions of derived algebra and central factor of a Lie algebra
H.
Arabyani
F.
Saeedi
Some Lie algebra analogues of Schur's theorem and its converses <br />are presented. As a result, it is shown that for a capable Lie algebra L we <br />always have dim L=Z(L) 2(dim(L2))2. We also give give some examples sup- <br />porting our results.
Capable Lie algebra
minimal generator
derived algebra
central factor
2015
10
01
1093
1102
http://bims.iranjournals.ir/article_676_3da7c8c3cba5c1fff10c3774678d395f.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
5
Faber polynomial coefficient estimates for bi-univalent functions defined by subordinations
S. G.
Hamidi
J. M.
Jahangiri
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.
faber polynomials
bi-univalent
subordinations
2015
10
01
1103
1119
http://bims.iranjournals.ir/article_677_e5131ddd5a6ee9375c73e35f78d96727.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
5
Entire functions sharing a small entire function with their difference operators
J.
Zhang
H. Y.
Kang
L. W.
Liao
In this paper, we mainly investigate the uniqueness of the entire function sharing a <br />small entire function with its high difference operators. We obtain <br />one results, which can give a negative answer to an uniqueness question <br />relate to the Bruck conjecture dealt by Liu and Yang. Meanwhile, we also establish a difference analogue of the <br />Bruck conjecture for entire functions of order less than 2, which improves some results obtained by Liu and Yang.
Entire function
difference equation
small function
2015
10
01
1121
1129
http://bims.iranjournals.ir/article_678_f173efbc4f3bdd34d7f205f1b5caf94a.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
5
New conditions on ground state solutions for Hamiltonian elliptic systems with gradient terms
F. F.
Liao
X. H.
Tang
D. D.
Qin
This paper is concerned with the following elliptic system:<br />$$<br /> left{<br /> begin{array}{ll}<br /> -triangle u + b(x)nabla u + V(x)u=g(x, v), <br /> -triangle v - b(x)nabla v + V(x)v=f(x, u), <br /> end{array}<br /> right.<br /> $$<br /> 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 $g$.
Hamiltonian elliptic system
superlinear
ground state solutions
strongly indefinite functionals
2015
10
01
1131
1146
http://bims.iranjournals.ir/article_679_372071dc741478798df76bfd0df0b3cd.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
5
Random approximation of a general symmetric equation
H.
Rezaei
C.
Park
In this paper, we prove the Hyers-Ulam stability of the symmetric functional<br />equation $f(ph_1(x,y))=ph_2(f(x), f(y))$ in random normed spaces. As a consequence, we<br />obtain some random stability results in the sense of Hyers-Ulam-Rassias.
Hyers-Ulam stability
general symmetric equation
random normed space
2015
10
01
1147
1159
http://bims.iranjournals.ir/article_680_0d027ec6397c61cc337361620f39c153.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
5
Some approximate fixed point results for proximinal valued $beta$-contractive multifunctions
M. A.
Miandaragh
A.
Pitea
Sh.
Rezapour
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.
$beta$-contractive multifunction
approximate fixed point
proximinal
fixed point
2015
10
01
1161
1172
http://bims.iranjournals.ir/article_681_1b2286e1c66522fe865913deee6bec6d.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
5
On properties of dependent general progressively type-II censored order statistics
M.
Rezapour
M. H.
Alamatsaz
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 under<br />test 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.
Stochastic ordering
Archimedean copula
order statistics
general progressive censoring
reliability systems
2015
10
01
1173
1182
http://bims.iranjournals.ir/article_682_a432686abd7f287dfc602ed35e2606ef.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
5
On Sandwich theorems for certain classes of analytic functions
R.
Aghalary
A.
Ebadian
M.
Mafakheri
The purpose of this present paper is to derive some subordination and superordination results for certain analytic functions in the open unit disk. <br />Relevant connections of the results, which are presented in the paper, with various known results are also considered.
Subordination
superordination
integral operators
Hadamard product
2015
10
01
1183
1193
http://bims.iranjournals.ir/article_683_35ce3e09e9943be0669ec43da1319871.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
5
A note on critical point and blow-up rates for singular and degenerate parabolic equations
B.
Liu
F.
Li
In this paper, we consider singular and degenerate parabolic equations<br />$$<br />u_t =(x^alpha u_x)_x +u^m (x_0,t)v^{n} (x_0,t),quad<br />v_t =(x^beta v_x)_x +u^q (x_0,t)v^{p} (x_0,t),$$ in $(0,a)times (0,T)$, subject to null<br />Dirichlet 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.
singular and degenerate parabolic equations
blow-up classification
simultaneous blow-up rates
2015
10
01
1195
1205
http://bims.iranjournals.ir/article_684_61771b8a5c6442802437ee788e2c3fce.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
5
Automatic continuity of surjective $n$-homomorphisms on Banach algebras
M.
Eshaghi Gordji
A.
Jabbari
E.
Karapinar
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.
Banach algebra
$n$-homomorphism
semisimple algebra
2015
10
01
1207
1211
http://bims.iranjournals.ir/article_685_102e171d4b2c18e7c75b1a1ba7261d14.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
5
Approximation of an additive mapping in various normed spaces
M. S.
Shiri
H.
Azadi Kenary
In this paper, using the fixed point and direct methods, we prove the generalized Hyers-Ulam-Rassias stability <br />of the following Cauchy-Jensen additive functional equation: <br />begin{equation}label{main} <br />fleft(frac{x+y+z}{2}right)+fleft(frac{x-y+z}{2}right)=f(x)+f(z)end{equation} <br />in various normed spaces. <br />The concept of Hyers-Ulam-Rassias stability originated from Th. M. <br />Rassias’ stability theorem that appeared in his paper: On the <br />stability of the linear mapping in Banach spaces, Proc. Amer. <br />Math. Soc. 72 (1978), 297-300.
Hyers-Ulam-Rassias stability
non-Archimedean normed spaces
random normed spaces
2015
10
01
1213
1233
http://bims.iranjournals.ir/article_686_ef1ccfb37f5b6e7b4200e921fa0b1fdd.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
5
A hybrid method for singularly perturbed delay boundary value problems exhibiting a right boundary layer
F. Z.
Geng
S. P.
Qian
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.
Reproducing kernel method
singularly perturbed problems
delay boundary value problems
2015
10
01
1235
1247
http://bims.iranjournals.ir/article_687_2d4a3117a1c61a52fba7f8ef99c06aa8.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
5
A relative extending module and torsion precovers
M.
Kemal Berktas
S.
Dogruoz
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.
$tau$-pure submodule
extending module
torsion theory
(pre)covers
$tau$-cocompact module
2015
10
01
1249
1257
http://bims.iranjournals.ir/article_688_6e9d588573e58fc2ad8596db373dfa5f.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
5
A uniform approximation method to solve absolute value equation
H.
Esmaeili
E.
Mahmoodabadi
M.
Ahmadi
In this paper, we propose a parametric uniform approximation method to solve NP-hard absolute value equations. <br />For this, we uniformly approximate absolute value in such a way that the nonsmooth absolute value equation can be <br />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. <br />Moreover, preliminary numerical results indicate effectiveness and robustness of our method to solve absolute value equations.
Absolute value equation
Uniform approximation
Newton method
2015
10
01
1259
1269
http://bims.iranjournals.ir/article_689_6b5fdd857f308ef88432bda7c9710f7f.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
5
On generalized reduced representations of restricted Lie superalgebras in prime characteristic
Y. F.
Yao
Y. Y.
Li
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 any<br />finite-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.
Restricted Lie superalgebra
generalized reduced
representation
indecomposable module
$p$-character
block
2015
10
01
1271
1285
http://bims.iranjournals.ir/article_690_b7609c817d7a1f6ca7340a97dd274f0f.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
5
Hypersurfaces of a Sasakian space form with recurrent shape operator
E.
Abedi
M.
Ilmakchi
Let $(M^{2n},g)$ be a real hypersurface with recurrent shape<br />operator and tangent to the structure vector field $xi$ of the Sasakian space form<br />$widetilde{M}(c)$. We show that if the shape operator $A$ of $M$ is<br />recurrent then it is parallel. Moreover, we show that $M$<br />is locally a product of two constant $phi-$sectional curvature<br />spaces.
Recurrent hypersurfaces
Sasakian manifold
2015
10
01
1287
1297
http://bims.iranjournals.ir/article_691_bc7b646fa536b7aef990872004888cf1.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2015
41
5
On a class of Kirchhoff type systems with nonlinear boundary condition
S. H.
Rasouli
H.
Norouzi
A class of Kirchhoff type systems with nonlinear boundary <br />conditions considered in this paper. By using the method of Nehari <br />manifold, it is proved that the system possesses two nontrivial <br />nonnegative solutions if the parameters are small enough.
Kirchhoff type systems
Nonlinear
boundary condition
Nehari manifold
2015
10
01
1299
1313
http://bims.iranjournals.ir/article_692_19b0208133e50f394ec97856bcbc7c45.pdf