@Article{,
author="",
title="Bulletin of the Iranian Mathematical Society",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="6",
pages="-",
abstract="",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_892.html"
}
@Article{Arefijammal2016,
author="Arefijammal, A.
and Zekaee, E.",
title="Image processing by alternate dual Gabor frames",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="6",
pages="1305-1314",
abstract="We present an application of the dual Gabor frames to image processing. Our algorithm is based on finding some dual Gabor frame generators which reconstructs accurately the elements of the underlying Hilbert space. The advantages of these duals constructed by a polynomial of Gabor frame generators are compared with their canonical dual.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_893.html"
}
@Article{Hassani2016,
author="Hassani, M.",
title="A remark on the means of the number of divisors",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="6",
pages="1315-1330",
abstract="We obtain the asymptotic expansion of the sequence with general term $\frac{A_n}{G_n}$, where $A_n$ and $G_n$ are the arithmetic and geometric means of the numbers $\d(1),\d(2),\dots,\d(n)$, with $\d(n)$ denoting the number of positive divisors of $n$. Also, we obtain some explicit bounds concerning $G_n$ and $\frac{A_n}{G_n}$.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_894.html"
}
@Article{Dhara2016,
author="Dhara, B.
and Kar, S.
and Pradhan, K. G.",
title="Co-centralizing generalized derivations acting on multilinear polynomials in prime rings",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="6",
pages="1331-1342",
abstract="Let $R$ be a noncommutative prime ring of characteristic different from $2$, $U$ the Utumi quotient ring of $R$, $C$ $(=Z(U))$ the extended centroid of $R$. Let $0\neq a\in R$ and $f(x_1,\ldots,x_n)$ a multilinear polynomial over $C$ which is noncentral valued on $R$. Suppose that $G$ and $H$ are two nonzero generalized derivations of $R$ such that $a(H(f(x))f(x)-f(x)G(f(x)))\in C$ for all $x=(x_1,\ldots,x_n)\in R^n$. one of the following holds: $f(x_1,\ldots,x_n)^2$ is central valued on $R$ and there exist $b,p,q\in U$ such that $H(x)=px+xb$ for all $x\in R$, $G(x)=bx+xq$ for all $x\in R$ with $a(p-q)\in C$; there exist $p,q\in U$ such that $H(x)=px+xq$ for all $x\in R$, $G(x)=qx$ for all $x\in R$ with $ap=0$; $f(x_1,\ldots,x_n)^2$ is central valued on $R$ and there exist $q\in U$, $\lambda\in C$ and an outer derivation $g$ of $U$ such that $H(x)=xq+\lambda x-g(x)$ for all $x\in R$, $G(x)=qx+g(x)$ for all $x\in R$, with $a\in C$; $R$ satisfies $s_4$ and there exist $b,p\in U$ such that $H(x)=px+xb$ for all $x\in R$, $G(x)=bx+xp$ for all $x\in R$.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_895.html"
}
@Article{Mahmood2016,
author="Mahmood, W.",
title="On natural homomorphisms of local cohomology modules",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="6",
pages="1343-1361",
abstract="Let $M$ be a non-zero finitely generated module over a commutative Noetherian local ring $(R,\mathfrak{m})$ with $\dim_R(M)=t$. Let $I$ be an ideal of $R$ with $grade(I,M)=c$. In this article we will investigate several natural homomorphisms of local cohomology modules. The main purpose of this article is to investigate when the natural homomorphisms $\gamma: Tor^{R}_c(k,H^c_I(M))\to k\otimes_R M$ and $\eta: Ext^{d}_R(k,H^c_I(M))\to Ext^{t}_R(k, M)$ are non-zero where $d:=t-c$. In fact for a Cohen-Macaulay module $M$ we will show that the homomorphism $\eta$ is injective (resp. surjective) if and only if the homomorphism $H^{d}_{\mathfrak{m}}(H^c_{I}(M))\to H^t_{\mathfrak{m}}(M)$ is injective (resp. surjective) under the additional assumption of vanishing of Ext modules. The similar results are obtained for the homomorphism $\gamma$. Moreover we will construct the natural homomorphism $Tor^{R}_c(k, H^c_I(M))\to Tor^{R}_c(k, H^c_J(M))$ for the ideals $J\subseteq I$ with $c = grade(I,M)= grade(J,M)$. There are several sufficient conditions on $I$ and $J$ to provide this homomorphism is an isomorphism.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_896.html"
}
@Article{Pirhaji2016,
author="Pirhaji, M.
and Mansouri, H.
and Zangiabadi, M.",
title="Global convergence of an inexact interior-point method for convex quadratic symmetric cone programming",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="6",
pages="1363-1385",
abstract="In this paper, we propose a feasible interior-point method for convex quadratic programming over symmetric cones. The proposed algorithm relaxes the accuracy requirements in the solution of the Newton equation system, by using an inexact Newton direction. Furthermore, we obtain an acceptable level of error in the inexact algorithm on convex quadratic symmetric cone programming (CQSCP). We also prove that the iteration bound for the feasible short-step method is $O(\sqrt{n}\log\frac{1}{\varepsilon})$, and $O(n\log\frac{1}{\varepsilon})$ for the large-step method which coincide with the currently best known iteration bounds for CQSCPs.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_897.html"
}
@Article{Wu2016,
author="Wu, Y.
and Yao, Y.",
title="Quasilinear Schrödinger equations involving critical exponents in $\mathbb{\textbf{R}}^2$",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="6",
pages="1387-1401",
abstract="We study the existence of soliton solutions for a class of quasilinear elliptic equation in $\mathbb{\textbf{R}}^2$ with critical exponential growth. This model has been proposed in the self-channeling of a high-power ultra short laser in matter.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_898.html"
}
@Article{Khosravi2016,
author="Khosravi, B.
and Babai, A.",
title="Simple groups with the same prime graph as $D_n(q)$",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="6",
pages="1403-1427",
abstract="Vasil'ev posed Problem 16.26 in [The Kourovka Notebook: Unsolved Problems in Group Theory, 16th ed.,Sobolev Inst. Math., Novosibirsk (2006).] as follows:Does there exist a positive integer $k$ such that there are no $k$ pairwise nonisomorphicnonabelian finite simple groups with the same graphs of primes? Conjecture: $k = 5$.In [Zvezdina, On nonabelian simple groups having the same prime graph as an alternating group, Siberian Math. J., 2013] the above conjecture is positively answered when one of these pairwise nonisomorphic groups is an alternating group.In this paper, we continue this work and determine all nonabelian simple groups, which have the same prime graph as the nonabelian simple group $D_n(q)$.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_899.html"
}
@Article{YaslanKaraca2016,
author=" Yaslan Karaca, I.
and Tokmak Fen, F.",
title="Positive solutions of $n$th-order $m$-point boundary value problems",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="6",
pages="1429-1439",
abstract="In this paper, by using four functionals fixed point theorem, we obtain sufficient conditions for the existence of at least one positive solution of an $n$th-order $m$-point boundary value problem. As an application, we give an example to demonstrate our main result.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_900.html"
}
@Article{MehmetDemirci2016,
author="Mehmet Demirci, Y.",
title="On generalizations of semiperfect and perfect rings",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="6",
pages="1441-1450",
abstract="We call a ring $R$ right generalized semiperfect if every simple right $R$-module is an epimorphic image of a flat right $R$-module with small kernel, that is, every simple right $R$-module has a flat $B$-cover. We give some properties of such rings along with examples. We introduce flat strong covers as flat covers which are also flat $B$-covers and give characterizations of $A$-perfect, $B$-perfect and perfect rings in terms of flat strong covers.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_901.html"
}
@Article{Mirzaei2016,
author="Mirzaei, H.",
title="Existence and nonexistence of positive solution for sixth-order boundary value problems",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="6",
pages="1451-1458",
abstract="In this paper, we formulate the sixth-order boundary value problem as Fredholm integral equation by finding Green's function and obtain the sufficient conditions for existence and multiplicity of positive solution for this problem. Also nonexistence results are obtained. An example is given to illustrate the results of paper.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_902.html"
}
@Article{Barciz2016,
author="Barciz, Á.
and Kant, S.
and Prajapat, J. K. ",
title="Differential subordination and superordination results associated with the Wright function",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="6",
pages="1459-1477",
abstract="An operator associated with the Wright function is introduced in the open unit disk. Differential subordination and superordination results associated with this operator are obtained by investigating appropriate classes of admissible functions. In particular, some inequalities for modified Bessel functions are also obtained.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_903.html"
}
@Article{Li2016,
author="Li, Z.
and Xu, L.
and Li, X.",
title="On time-dependent neutral stochastic evolution equations with a fractional Brownian motion and infinite delays",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="6",
pages="1479-1496",
abstract="In this paper, we consider a class of time-dependent neutral stochastic evolution equations with the infinite delay and a fractional Brownian motion in a Hilbert space. We establish the existence and uniqueness of mild solutions for these equations under non-Lipschitz conditions with Lipschitz conditions being considered as a special case. An example is provided to illustrate the theory",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_904.html"
}
@Article{Zhang2016,
author="Zhang, Y. Y.
and Gao, Z. S.
and Zhang, J. L.",
title="Growth of meromorphic solutions for complex difference equations of Malmquist type",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="6",
pages="1497-1505",
abstract="In this paper, we give some necessary conditions for a complex difference equation of Malmquist type $$\sum^n_{j=1}f(z+c_j)=\frac{P(f(z))}{Q(f(z))},$$ where $n(\in{\mathbb{N}})\geq{2}$, and $P(f(z))$ and $Q(f(z))$ are relatively prime polynomials in $f(z)$ with small functions as coefficients, admitting a meromorphic function of finite order. Moreover, the properties of finite order transcendental meromorphic solutions for complex difference equation $\prod^n_{j=1}f(z+c_j)=P(f(z))/Q(f(z))$ are also investigated.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_905.html"
}
@Article{Shi2016,
author="Shi, H.
and Liu, X.
and Zhang, Y.",
title="Nonexistence and existence results for a 2$n$th-order $p$-Laplacian discrete Neumann boundary value problem",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="6",
pages="1507-1521",
abstract="This paper is concerned with a 2nth-order p-Laplacian difference equation. By using the critical point method, we establish various sets of sufficient conditions for the nonexistence and existence of solutions for Neumann boundary value problem and give some new results. Results obtained successfully generalize and complement the existing ones.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_906.html"
}
@Article{Wang2016,
author="Wang, H.
and He, W.",
title="A remark on Remainders of homogeneous spaces in some compactifications",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="6",
pages="1523-1534",
abstract="We prove that a remainder $Y$ of a non-locally compact rectifiable space $X$ is locally a $p$-space if and only if either $X$ is a Lindel\"{o}f $p$-space or $X$ is $\sigma$-compact, which improves two results by Arhangel'skii. We also show that if a non-locally compact rectifiable space $X$ that is locally paracompact has a remainder $Y$ which has locally a $G_{\delta}$-diagonal, then both $X$ and $Y$ are separable and metrizable, which improves another Arhangel'skii's result. It is proved that if a non-locally compact paratopological group $G$ has a locally developable remainder $Y$, then either $G$ and $Y$ are separable and metrizable, or $G$ is a $\sigma$-compact space with a countable network, which improves a result by Wang-He.",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_907.html"
}
@Article{Mallick2016,
author="Mallick, S.
and Zhao, P.
and De, U. C.",
title="Spacetimes admitting quasi-conformal curvature tensor",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="6",
pages="1535-1546",
abstract="The object of the present paper is to study spacetimes admitting quasi-conformal curvature tensor. At first we prove that a quasi-conformally flat spacetime is Einstein and hence it is of constant curvature and the energy momentum tensor of such a spacetime satisfying Einstein's field equation with cosmological constant is covariant constant. Next, we prove that if the perfect fluid pacetime with vanishing quasi-conformal curvature tensor obeys Einstein's field equation without cosmological constant, then the spacetime has constant energy density and isotropic pressure and the perfect fluid always behave as a cosmological constant and also such a spacetime is infinitesimally spatially isotropic relative to the unit timelike vector field $U$. Moreover, it is shown that in a purely electromagnetic distribution the spacetime with vanishing quasi-conformal curvature tensor is filled with radiation and extremely hot gases. We also study dust-like fluid spacetime with vanishing quasi-conformal curvature tensor. ",
issn="1017-060X",
doi="",
url="http://bims.iranjournals.ir/article_908.html"
}
@Article{Ali2016,
author="Ali, M.",
title="Parabolic Marcinkiewicz integrals on product spaces",
journal="Bulletin of the Iranian Mathematical Society",
year="2016",
volume="42",
number="6",
pages="1547-1557",
abstract="In this paper, we study the $L^p$ ($1