2012
38
4
4
0
NewtonProduct integration for a Twophase Stefan problem with Kinetics
2
2
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.
1

853
868


B.
BabayarRazlighi
University of Tabriz
University of Tabriz
Iran
Babayar@tabrizu.ac.ir


Karim
Ivaz
University of Tabriz
University of Tabriz
Iran
ivaz@tabrizu.ac.ir


M.
Mokhtarzadeh
Institute for
studies in
theoretical physics and mathematics
Institute for
studies in
theoretical physics
Iran
MrMokhtarzadeh@gmail.com


A.
Badamchizadeh
University of Tabriz
University of Tabriz
Iran
Badamchi_ali@yahoo.com
Twophase Stefan problem
Kinetic function
Newton's method
Product integration
Nonlinear Volterra integral equations
Multiple point of selftransverse immesions of certain manifolds
2
2
In this paper we will determine the multiple point manifolds of certain selftransverse immersions in Euclidean spaces. Following the triple points, these immersions have a double point selfintersection set which is the image of an immersion of a smooth 5dimensional 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 StiefelWhitney numbers of the selfintersection manifolds.
1

869
882


Mohammad Ali
AsadiGolmankhaneh
Assistant Prof. Mathematics Department, Urmia University
Assistant Prof. Mathematics Department, Urmia
Iran
masadig@yahoo.com
Immersion
Hurewicz homomorphism
spherical classes
StiefelWhitney number
Entropy operator for continuous dynamical systems of finite topological entropy
2
2
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.
1

883
892


Mehdi
Rahimi
Amirkabir University of technology
Amirkabir University of technology
Iran
m10.rahimi@gmail.com


Abdolhamid
Riazi
Amirkabir University of technology
Amirkabir University of technology
Iran
ph.riazi@yahoo.com
Entropy
entropy operator
dynamical system
On generalized left (alpha, beta)derivations in rings
2
2
Let $R$ be a 2torsion 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 antihomomorphism on a nonzero ideal $I$ of $R$, then either $R$ is commutative or $delta=0$ ~on $R$.
1

893
905


Mohammad
Ashraf
Aligarh Muslim University
Aligarh Muslim University
India
mashraf80@hotmail.com


Shakir
Ali
Aligarh Muslim University
Aligarh Muslim University
India
shakir.ali.mm@amu.ac.in


Nadeem
Rehman
Aligarh Muslim University
Aligarh Muslim University
India
rehman100@gmail.com


Muzibur
Mozumder
Aligarh Muslim University
Aligarh Muslim University
India
mrm7862000@yahoo.co.in
Prime ring
Lie ideal
Jordan left (alpha,beta)derivation
An automaton group: a computational case study
2
2
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 .
1

907
924


Mohammad
Jelodari Mamaghani
Professor of mathematics Dept of maths and stats, Allameh tabatabaei univ.
Professor of mathematics Dept of maths and
Iran
j_mamaghani@atu.ac.ir
Automaton group
weakly branch
contracting group
exponential growth
A common fixed point theorem on ordered metric spaces
2
2
A common fixed point result for weakly increasing mappings satisfying generalized contractive type of Zhang in ordered metric spaces are derived.
1

925
934


Hemant
Nashine
Disha Institute of Management and Technology
Disha Institute of Management and Technology
India
hemantnashine@rediffmail.com


Ishak
Altun
Kirikkale University, Faculty of Science and Arts
Kirikkale University, Faculty of Science
Turkey
ishakaltun@yahoo.com
fixed point
complete metric space
partially ordered set
Uniqueness of meromorphic functions dealing with multiple values in an angular domain
2
2
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.
1

935
945


Wu
Zhaojun
school of Mathematics and
Statistics, Xianning University, Xianning, Hubei,
P. R. China, 437100
school of Mathematics and
Statistics, Xianning
China, R. O. C.
wuzj52@hotmail.com


Chen
Yuxian
Department of Mathematics, Xinyu University Xinyu, Jiangxi Province, 338000, P. R.
China
Department of Mathematics, Xinyu University
China, R. O. C.
44976882@qq.com
Tsuji’s characteristic
uniqueness
angular domain
multiple values
Uniserial modules of generalized power series
2
2
Let R be a ring, M a right Rmodule 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 Rmodule and S is a chain monoid.
1

947
954


Renyu
Zhao
Northwest Normal University
Northwest Normal University
China, R. O. C.
zhaory@nwnu.edu.cn
uniserial module
chain monoid
generalized power series ring
generalized power series module
ParaKahler tangent bundles of constant paraholomorphic sectional curvature
2
2
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) paraHermitian manifold. We find the natural diagonal (almost) paraK"ahlerian structures on the tangent bundle, and we study the conditions under which they have constant paraholomorphic sectional curvature.
1

955
972


SimonaLuiza
DrutaRomaniuc
Department of Sciences, Al. I. Cuza University
Department of Sciences, Al. I. Cuza University
Romania
simonadruta@yahoo.com
natural lifts
almost product structures
paraHermitian structures
paraK"ahler structures
paraholomorphic sectional curvature
A generalization of the probability that the commutator of two group elements is equal to a given element
2
2
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.
1

973
986


Ahmad
Alghamdi
Department of Mathematics, University Umm Alqura
Department of Mathematics, University Umm
Saudi Arabia
amghamdi@uqu.edu.sa


Francesco G.
Russo
Department of Mathematics, University of Palermo
Department of Mathematics, University of
Italy
francescog.russo@yahoo.com
Commutativity degree
relative nth nilpotency degree
probability of commuting pairs
characters
Fully idempotent and coidempotent modules
2
2
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.
1

987
1005


Habibollah
AnsariToroghy
University of Guilan
University of Guilan
Iran
ansari@guilan.ac.ir


Faranak
Farshadifar
University of Guilan
University of Guilan
Iran
farshadifar@guilan.ac.ir
Idempotent submodule
fully idempotent module
coidempotent submodule
copure submodule
and fully coidempotent module
Some difference results on Hayman conjecture and uniqueness
2
2
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.
1

1007
1020


Kai
Liu
Nanchang university, Department of mathematics
Nanchang university, Department of mathematics
China, R. O. C.
liukai418@126.com


Tingbin
Cao
Nanchang university, Department of mathematics
Nanchang university, Department of mathematics
China, R. O. C.
tbcao@ncu.edu.cn


Xinling
Liu
Nanchang university, Department of mathematics
Nanchang university, Department of mathematics
China, R. O. C.
sdliuxinling@hotmail.com
Entire functions
Difference
finite order
uniqueness
Value sharing
MRA parseval frame multiwavelets in L^2(R^d)
2
2
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.
1

1021
1045


Liu
Zhanwei
School of Information Engineering, Zhengzhou University
School of Information Engineering, Zhengzhou
China, R. O. C.
changgengliu@163.com


Xiaomin
Mu
School of Information Engineering, Zhengzhou University
School of Information Engineering, Zhengzhou
China, R. O. C.
iexmmu@zzu.edu.cn


Guochang
Wu
Department of Applied
Mathematics, Henan
University of Economics and Law
Department of Applied
Mathematics, Henan
China, R. O. C.
archang0111@163.com
frame
Matrix ﬁlter
Pseudoscaling function
MRA Parseval frame multiwavelets
Matrix multiwavelets multiplier
Iterative methods for finding nearest common fixed points of a countable family of quasiLipschitzian mappings
2
2
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 quasiLipschitzian 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.
1

1047
1061


Weerayuth
Nilsrakoo
Department of Mathematics, Statistics and Computer,
Faculty of Science, Ubon Ratchathani University, Ubon Ratchathani
34190, Thailand
Department of Mathematics, Statistics and
Thailand
nilsrakoo@hotmail.com


Satit
Saejung
Department of
Mathematics, Khon Kaen University, Khon Kaen 40002, Thailand
Department of
Mathematics, Khon Kaen University,
Thailand
saejung@kku.ac.th
Asymptotically nonexpansive mapping
equilibrium problem
quasiLipschitzian mapping
strong convergence theorem
variational inequality problem
Smarandache algebras and their subgroups
2
2
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 $D_p$.
1

1063
1077


P
Allen
University of Alabama
University of Alabama
United States of America


H.
Kim
Hanyang University and Research Institute for Natural Sciences
Hanyang University and Research Institute
Korea, Republic of


J
Neggers
University of Alabama
University of Alabama
United States of America