Newton-Product integration for a Two-phase Stefan problem with Kinetics
B.
Babayar-Razlighi
University of Tabriz
author
Karim
Ivaz
University of Tabriz
author
M.
Mokhtarzadeh
Institute for
studies in
theoretical physics and mathematics
author
A.
Badamchizadeh
University of Tabriz
author
text
article
2012
eng
We reduce the two phase Stefan problem with kinetic to a system of nonlinear Volterra integral equations of second kind and apply Newton's method to linearize it. We found product integration solution of the linear form. Sufficient conditions for convergence of the numerical method are given and their applicability is illustrated with an example.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
38
v.
4
no.
2012
853
868
http://bims.iranjournals.ir/article_269_d77a723b16e1070e635dd7aabf3cbdec.pdf
Multiple point of self-transverse immesions of certain manifolds
Mohammad Ali
Asadi-Golmankhaneh
Assistant Prof. Mathematics Department, Urmia University
author
text
article
2012
eng
In this paper we will determine the multiple point manifolds of certain self-transverse immersions in Euclidean spaces. Following the triple points, these immersions have a double point self-intersection set which is the image of an immersion of a smooth 5-dimensional manifold, cobordant to Dold manifold $V^5$ or a boundary. We will show there is an immersion of $S^7times P^2$ in $mathbb{R}^{13}$ with double point manifold cobordant to Dold manifold $V^5$, and an immersion of $P^2times P^2times P^2times P^2times P^2$ in $mathbb{R}^{15}$ with double point manifold a boundary and the triple point set is odd number. These will be done by introducing the product technique and reading off the Stiefel-Whitney numbers of the self-intersection manifolds.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
38
v.
4
no.
2012
869
882
http://bims.iranjournals.ir/article_292_f640c8c7d63984f075314fc293f12751.pdf
Entropy operator for continuous dynamical systems of finite topological entropy
Mehdi
Rahimi
Amirkabir University of technology
author
Abdolhamid
Riazi
Amirkabir University of technology
author
text
article
2012
eng
In this paper we introduce the concept of entropy operator for continuous systems of finite topological entropy. It is shown that it generates the Kolmogorov entropy as a special case. If $phi$ is invertible then the entropy operator is bounded with the topological entropy of $phi$ as its norm.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
38
v.
4
no.
2012
883
892
http://bims.iranjournals.ir/article_223_e9885c9254062cfa69de1fd24b6324d7.pdf
On generalized left (alpha, beta)-derivations in rings
Mohammad
Ashraf
Aligarh Muslim University
author
Shakir
Ali
Aligarh Muslim University
author
Nadeem
Rehman
Aligarh Muslim University
author
Muzibur
Mozumder
Aligarh Muslim University
author
text
article
2012
eng
Let $R$ be a 2-torsion free ring and $U$ be a square closed Lie ideal of $R$. Suppose that $alpha, beta$ are automorphisms of $R$. An additive mapping $delta: R longrightarrow R$ is said to be a Jordan left $(alpha,beta)$-derivation of $R$ if $delta(x^2)=alpha(x)delta(x)+beta(x)delta(x)$ holds for all $xin R$. In this paper it is established that if $R$ admits an additive mapping $G : Rlongrightarrow R$ satisfying $G(u^2)=alpha(u)G(u)+alpha(u)delta(u)$ for all $uin U$ and a Jordan left $(alpha,alpha)$-derivation $delta$; and $U$ has a commutator which is not a left zero divisor, then $G(uv)=alpha(u)G(v)+alpha(v)delta(u)$ for all $u, vin U$. Finally, in the case of prime ring $R$ it is proved that if $G: R longrightarrow R$ is an additive mapping satisfying $G(xy)=alpha(x)G(y)+beta(y)delta(x)$ for all $x,y in R $ and a left $(alpha, beta)$-derivation $delta$ of $R$ such that $G$ also acts as a homomorphism or as an linebreak anti-homomorphism on a nonzero ideal $I$ of $R$, then either $R$ is commutative or $delta=0$ ~on $R$.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
38
v.
4
no.
2012
893
905
http://bims.iranjournals.ir/article_296_f014a56e90c11a757243288bb277b4db.pdf
An automaton group: a computational case study
Mohammad
Jelodari Mamaghani
Professor of mathematics Dept of maths and stats, Allameh tabatabaei univ.
author
text
article
2012
eng
We introduce a two generated weakly branch contracting automaton group $G$ which is generated by a two state automaton on a three letter alphabet. Using its branch structure and the finiteness nature of a sequence of its factor groups we compute the order of some of these factors. Furthermore some algebraic properties of $G$ are detected .
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
38
v.
4
no.
2012
907
924
http://bims.iranjournals.ir/article_312_875ffba1c361564addaaeccfb6b42113.pdf
A common fixed point theorem on ordered metric spaces
Hemant
Nashine
Disha Institute of Management and Technology
author
Ishak
Altun
Kirikkale University, Faculty of Science and Arts
author
text
article
2012
eng
A common fixed point result for weakly increasing mappings satisfying generalized contractive type of Zhang in ordered metric spaces are derived.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
38
v.
4
no.
2012
925
934
http://bims.iranjournals.ir/article_248_61bfef788cf33de9b3b6ee9948a43e76.pdf
Uniqueness of meromorphic functions dealing with multiple values in an angular domain
Wu
Zhaojun
school of Mathematics and
Statistics, Xianning University, Xianning, Hubei,
P. R. China, 437100
author
Chen
Yuxian
Department of Mathematics, Xinyu University Xinyu, Jiangxi Province, 338000, P. R.
China
author
text
article
2012
eng
This paper uses the Tsuji’s characteristic to investigate the uniqueness of transcen- dental meromorphic function with shared values in an angular domain dealing with the multiple values which improve a result of J. Zheng.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
38
v.
4
no.
2012
935
945
http://bims.iranjournals.ir/article_265_c7a4f751f9d2ac1abede02daa6a237ef.pdf
Uniserial modules of generalized power series
Renyu
Zhao
Northwest Normal University
author
text
article
2012
eng
Let R be a ring, M a right R-module and (S,≤) a strictly ordered monoid. In this paper we will show that if (S,≤) is a strictly ordered monoid satisfying the condition that 0 ≤ s for all s ∈ S, then the module [[MS,≤]] of generalized power series is a uniserial right [[RS,≤]] ]]-module if and only if M is a simple right R-module and S is a chain monoid.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
38
v.
4
no.
2012
947
954
http://bims.iranjournals.ir/article_267_7d5809a8364501044da31ce9f9f28849.pdf
Para-Kahler tangent bundles of constant para-holomorphic sectional curvature
Simona-Luiza
Druta-Romaniuc
Department of Sciences, Al. I. Cuza University
author
text
article
2012
eng
We characterize the natural diagonal almost product (locally product) structures on the tangent bundle of a Riemannian manifold. We obtain the conditions under which the tangent bundle endowed with the determined structure and with a metric of natural diagonal lift type is a Riemannian almost product (locally product) manifold, or an (almost) para-Hermitian manifold. We find the natural diagonal (almost) para-K"ahlerian structures on the tangent bundle, and we study the conditions under which they have constant para-holomorphic sectional curvature.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
38
v.
4
no.
2012
955
972
http://bims.iranjournals.ir/article_308_b220cc7c0d3e496afd0a4df3a423d435.pdf
A generalization of the probability that the commutator of two group elements is equal to a given element
Ahmad
Alghamdi
Department of Mathematics, University Umm Alqura
author
Francesco G.
Russo
Department of Mathematics, University of Palermo
author
text
article
2012
eng
The probability that the commutator of two group elements is equal to a given element has been introduced in literature few years ago. Several authors have investigated this notion with methods of the representation theory and with combinatorial techniques. Here we illustrate that a wider context may be considered and show some structural restrictions on the group.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
38
v.
4
no.
2012
973
986
http://bims.iranjournals.ir/article_303_c20073079049ede5f1ba75c86fa2eb03.pdf
Fully idempotent and coidempotent modules
Habibollah
Ansari-Toroghy
University of Guilan
author
Faranak
Farshadifar
University of Guilan
author
text
article
2012
eng
In this paper, the notion of fully idempotent modules is defined and it is shown that this notion inherits most of the essential properties of the usual notion of von Neumann's regular rings. Furthermore, we introduce the dual notion of fully idempotent modules (that is, fully coidempotent modules) and investigate some properties of this class of modules.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
38
v.
4
no.
2012
987
1005
http://bims.iranjournals.ir/article_304_6d9a658da1b800cac3492316784b678d.pdf
Some difference results on Hayman conjecture and uniqueness
Kai
Liu
Nanchang university, Department of mathematics
author
Tingbin
Cao
Nanchang university, Department of mathematics
author
Xinling
Liu
Nanchang university, Department of mathematics
author
text
article
2012
eng
In this paper, we show that for any finite order entire function $f(z)$, the function of the form $f(z)^{n}[f(z+c)-f(z)]^{s}$ has no nonzero finite Picard exceptional value for all nonnegative integers $n, s$ satisfying $ngeq 3$, which can be viewed as a different result on Hayman conjecture. We also obtain some uniqueness theorems for difference polynomials of entire functions sharing one common value.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
38
v.
4
no.
2012
1007
1020
http://bims.iranjournals.ir/article_306_332a41daa98fd9beeb51176a86683aae.pdf
MRA parseval frame multiwavelets in L^2(R^d)
Liu
Zhanwei
School of Information Engineering, Zhengzhou University
author
Xiaomin
Mu
School of Information Engineering, Zhengzhou University
author
Guochang
Wu
Department of Applied
Mathematics, Henan
University of Economics and Law
author
text
article
2012
eng
In this paper, we characterize multiresolution analysis(MRA) Parseval frame multiwavelets in L^2(R^d) with matrix dilations of the form (D f )(x) = sqrt{2}f (Ax), where A is an arbitrary expanding dtimes d matrix with integer coefficients, such that |detA| =2. We study a class of generalized low pass matrix filters that allow us to define (and construct) the subclass of MRA tight frame multiwavelets. This leads us to an associated class of generalized scaling functions that are not necessarily obtained from a multiresolution analysis. We also investigate several properties of these classes of generalized multiwavelets, scaling functions, matrix filters and give some characterizations about them. Finally, we describe the matrix multipliers classes associated with Parseval frame multiwavelets(PFMWs) in L^2(R^d) and give an example to prove our theory.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
38
v.
4
no.
2012
1021
1045
http://bims.iranjournals.ir/article_309_01a3168b09b684df64188d271d92cc75.pdf
Iterative methods for finding nearest common fixed points of a countable family of quasi-Lipschitzian mappings
Weerayuth
Nilsrakoo
Department of Mathematics, Statistics and Computer,
Faculty of Science, Ubon Ratchathani University, Ubon Ratchathani
34190, Thailand
author
Satit
Saejung
Department of
Mathematics, Khon Kaen University, Khon Kaen 40002, Thailand
author
text
article
2012
eng
We prove a strong convergence result for a sequence generated by Halpern's type iteration for approximating a common fixed point of a countable family of quasi-Lipschitzian mappings in a real Hilbert space. Consequently, we apply our results to the problem of finding a common fixed point of asymptotically nonexpansive mappings, an equilibrium problem, and a variational inequality problem for continuous monotone mappings.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
38
v.
4
no.
2012
1047
1061
http://bims.iranjournals.ir/article_294_985ac6bbba0e6961cfd2afe91f6cd137.pdf
Smarandache algebras and their subgroups
P
Allen
University of Alabama
author
H.
Kim
Hanyang University and Research Institute for Natural Sciences
author
J
Neggers
University of Alabama
author
text
article
2012
eng
In this paper we define S algebras and show that every finite group can be found in some S algebra. We define and study the S degree of a finite group and determine the S degree of several classes of finite groups such as cyclic groups, elementary abelian $p$-groups, and dihedral groups $D_p$.
Bulletin of the Iranian Mathematical Society
Iranian Mathematical Society (IMS)
1017-060X
38
v.
4
no.
2012
1063
1077
http://bims.iranjournals.ir/article_408_9aed5a7ca47d5a6c66edeb8918a979c6.pdf