@Article{,
author="",
title="Bulletin of the Iranian Mathematical Society",
journal="Bulletin of the Iranian Mathematical Society",
year="2015",
volume="41",
number="5",
pages="-",
abstract="",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_672.html"
}
@Article{Mosazadeh2015,
author="Mosazadeh, S.",
title="The stability of the solution of an inverse spectral problem with a singularity",
journal="Bulletin of the Iranian Mathematical Society",
year="2015",
volume="41",
number="5",
pages="1061-1070",
abstract="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.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_673.html"
}
@Article{Estaji2015,
author="Estaji, A. A.
and Karimi Feizabadi, A.
and Abedi, M.",
title="Zero sets in pointfree topology and strongly $z$-ideals",
journal="Bulletin of the Iranian Mathematical Society",
year="2015",
volume="41",
number="5",
pages="1071-1084",
abstract="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.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_674.html"
}
@Article{Darus2015,
author="Darus, M.
and Aldawish, I.
and Ibrahim, R. W.",
title="Some concavity properties for general integral operators",
journal="Bulletin of the Iranian Mathematical Society",
year="2015",
volume="41",
number="5",
pages="1085-1092",
abstract="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.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_675.html"
}
@Article{Arabyani2015,
author="Arabyani, H.
and Saeedi, F.",
title="On dimensions of derived algebra and central factor of a Lie algebra",
journal="Bulletin of the Iranian Mathematical Society",
year="2015",
volume="41",
number="5",
pages="1093-1102",
abstract="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.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_676.html"
}
@Article{Hamidi2015,
author="Hamidi, S. G.
and Jahangiri, J. M.",
title="Faber polynomial coefficient estimates for bi-univalent functions defined by subordinations",
journal="Bulletin of the Iranian Mathematical Society",
year="2015",
volume="41",
number="5",
pages="1103-1119",
abstract="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.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_677.html"
}
@Article{Zhang2015,
author="Zhang, J.
and Kang, H. Y.
and Liao, L. W.",
title="Entire functions sharing a small entire function with their difference operators",
journal="Bulletin of the Iranian Mathematical Society",
year="2015",
volume="41",
number="5",
pages="1121-1129",
abstract="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.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_678.html"
}
@Article{Liao2015,
author="Liao, F. F.
and Tang, X. H.
and Qin, D. D.",
title="New conditions on ground state solutions for Hamiltonian elliptic systems with gradient terms",
journal="Bulletin of the Iranian Mathematical Society",
year="2015",
volume="41",
number="5",
pages="1131-1146",
abstract="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 $g$.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_679.html"
}
@Article{Rezaei2015,
author="Rezaei, H.
and Park, C.",
title="Random approximation of a general symmetric equation",
journal="Bulletin of the Iranian Mathematical Society",
year="2015",
volume="41",
number="5",
pages="1147-1159",
abstract="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.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_680.html"
}
@Article{Miandaragh2015,
author="Miandaragh, M. A.
and Pitea, A.
and Rezapour, Sh.",
title="Some approximate fixed point results for proximinal valued $\beta$-contractive multifunctions",
journal="Bulletin of the Iranian Mathematical Society",
year="2015",
volume="41",
number="5",
pages="1161-1172",
abstract="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.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_681.html"
}
@Article{Rezapour2015,
author="Rezapour, M.
and Alamatsaz, M. H.",
title="On properties of dependent general progressively type-II censored order statistics",
journal="Bulletin of the Iranian Mathematical Society",
year="2015",
volume="41",
number="5",
pages="1173-1182",
abstract="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.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_682.html"
}
@Article{Aghalary2015,
author="Aghalary, R.
and Ebadian, A.
and Mafakheri, M.",
title="On Sandwich theorems for certain classes of analytic functions",
journal="Bulletin of the Iranian Mathematical Society",
year="2015",
volume="41",
number="5",
pages="1183-1193",
abstract="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.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_683.html"
}
@Article{Liu2015,
author="Liu, B.
and Li, F.",
title="A note on critical point and blow-up rates for singular and degenerate parabolic equations",
journal="Bulletin of the Iranian Mathematical Society",
year="2015",
volume="41",
number="5",
pages="1195-1205",
abstract="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.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_684.html"
}
@Article{EshaghiGordji2015,
author="Eshaghi Gordji, M.
and Jabbari, A.
and Karapinar, E.",
title="Automatic continuity of surjective $n$-homomorphisms on Banach algebras",
journal="Bulletin of the Iranian Mathematical Society",
year="2015",
volume="41",
number="5",
pages="1207-1211",
abstract="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.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_685.html"
}
@Article{Shiri2015,
author="Shiri, M. S.
and Azadi Kenary, H.",
title="Approximation of an additive mapping in various normed spaces",
journal="Bulletin of the Iranian Mathematical Society",
year="2015",
volume="41",
number="5",
pages="1213-1233",
abstract="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.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_686.html"
}
@Article{Geng2015,
author="Geng, F. Z.
and Qian, S. P.",
title="A hybrid method for singularly perturbed delay boundary value problems exhibiting a right boundary layer",
journal="Bulletin of the Iranian Mathematical Society",
year="2015",
volume="41",
number="5",
pages="1235-1247",
abstract="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.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_687.html"
}
@Article{KemalBerktas2015,
author="Kemal Berktas, M.
and Dogruoz, S.",
title="A relative extending module and torsion precovers",
journal="Bulletin of the Iranian Mathematical Society",
year="2015",
volume="41",
number="5",
pages="1249-1257",
abstract="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.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_688.html"
}
@Article{Esmaeili2015,
author="Esmaeili, H.
and Mahmoodabadi, E.
and Ahmadi, M.",
title="A uniform approximation method to solve absolute value equation",
journal="Bulletin of the Iranian Mathematical Society",
year="2015",
volume="41",
number="5",
pages="1259-1269",
abstract="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.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_689.html"
}
@Article{Yao2015,
author="Yao, Y. F.
and Li, Y. Y.",
title="On generalized reduced representations of restricted Lie superalgebras in prime characteristic",
journal="Bulletin of the Iranian Mathematical Society",
year="2015",
volume="41",
number="5",
pages="1271-1285",
abstract="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.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_690.html"
}
@Article{Abedi2015,
author="Abedi, E.
and Ilmakchi, M.",
title="Hypersurfaces of a Sasakian space form with recurrent shape operator",
journal="Bulletin of the Iranian Mathematical Society",
year="2015",
volume="41",
number="5",
pages="1287-1297",
abstract="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.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_691.html"
}
@Article{Rasouli2015,
author="Rasouli, S. H.
and Norouzi, H.",
title="On a class of Kirchhoff type systems with nonlinear boundary condition",
journal="Bulletin of the Iranian Mathematical Society",
year="2015",
volume="41",
number="5",
pages="1299-1313",
abstract="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.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_692.html"
}