2013
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A new class of function spaces on domains of R^d and its relations to classical function spaces
2
2
1

1
6


G.
Narimani
Department of Mathematics and Applications, Faculty of Basic Sciences, University of Mohaghegh Ardabili, P.O. Box 179, Ardabil,Iran.
Department of Mathematics and Applications,
Iran
On Psiconditional asymptotic stability of first order nonlinear matrix Lyapunov system
2
2
We provide necessary and sucient conditions for psiconditional asymptotic stability of the solution of a linear matrix Lyapunov system and sucientconditions for psi conditional asymptotic stability of the solution of a rst ordernonlinear matrix Lyapunov system X0 = A(t)X + XB(t) + F(t;X).
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7
20


G.
SURESH KUMAR
Department of Mathematics, Konenu Lakshmaiah University, Green Fields,
Vaddeswaram522 502, Guntur Dt., Andhra Pradesh, India.
Department of Mathematics, Konenu Lakshmaiah
Iran
drgsk006@gmail.com


B. V.
Appa Rao
Department of Mathematics, Konenu Lakshmaiah University, Green Fields,
Vaddeswaram522 502, Guntur Dt., Andhra Pradesh, India.
Department of Mathematics, Konenu Lakshmaiah
Iran
bvardr2010@gmail.com


M. S. N
Murthy
Department of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar
522510, Guntur, Andhrapradesh, ,India.
Department of Mathematics, Acharya Nagarjuna
Iran
drmsn2002@gmail.com
fundamental matrix
psibounded
psistable
psiconditional asymptotic stable
Convergence theorems of implicit iterates with errors for generalized asymptotically quasinonexpansive mappings in Banach spaces
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2
In this paper, we prove that an implicit iterative process with errors converges strongly to a common xed point for a nite family of generalizedasymptotically quasinonexpansive mappings on unbounded sets in a uniformlyconvex Banach space. Our results unify, improve and generalize the corresponding results of Uddin and Khan [4], Sun [21], Wittman [23], Xu and Ori [26] andmany others.
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21
34


G. S.
Saluja
Department of Mathematics and Information Technology, Govt. Nagarjuna P.G.
College of Science, Raipur  492010 (C.G.), India.
Department of Mathematics and Information
Iran
Generalized asymptotically quasinonexpansive mapping
implicit iteration process with errors
common fixed point
strong convergence
uniformly convex Banach space
properties of M−hyoellipticity for pseudo
differential operators
2
2
In this paper we study properties of symbols such that these belong to class of symbols sitting insideSm ρ,φ that we shall introduce as the following. So for because hypoelliptic pseudodifferential operatorsplays a key role in quantum mechanics we will investigate some properties of M−hypoelliptic pseudodifferential operators for which define base on this class of symbols. Also we consider maximal andminimal operators of M−hypoelliptic pseudo differential operators and we express some results aboutthese operators.
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35
48


M.
Alimohammady
Department of Mathematics, University of Mazandaran, Babolsar 474161468, Iran.
Department of Mathematics, University of
Iran


M. K.
Kalleji
Department of Mathematics, University of Mazandaran, Babolsar 474161468, Iran.
Department of Mathematics, University of
Iran
pseudo differential operator
elliptic operator
hypoelliptic operator
parametrix operator
On positive solutions for a class of infinite semipositone problems
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2
We discuss the existence of a positive solution to the innite semipositone problemu = au bu f(u) cu ; x 2 ; u = 0; x 2 @;where is the Laplacian operator, > 1, 2 (0; 1), a; b and c are positive constants, is a boundeddomain in RN with smooth boundary @, and f : [0;1) ! R is a continuous function such thatf(u) ! 1 as u ! 1. Also we assume that there exist A > 0 and > 1 such that f(s) As, forall s 0. . We obtain our result via the method of sub and supersolutions.
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49
54


M. B.
Ghaemi
Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran
Department of Mathematics, Iran University
Iran


M.
Choubin
Department of Mathematics, Faculty of Basic Sciences, Payame Noor University, Tehran, Iran
Department of Mathematics, Faculty of Basic
Iran
Positive solution
Innite semipositone
Sub and supersolutions
Some results of 2periodic functions by Fourier sums in the space Lp(2)
2
2
In this paper, using the Steklov function, we introduce the generalized continuity modulus and denethe class of functions Wr;kp;' in the space Lp. For this class, we prove an analog of the estimates in [1]in the space Lp.
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55
58


M.
El Hamma
Department of Mathematics, Faculty of Science An Chock, University Hassan II, Casablanca, Morocco
Department of Mathematics, Faculty of Science
Iran


R.
Daher
Department of Mathematics, Faculty of Science An Chock, University Hassan II, Casablanca, Morocco
Department of Mathematics, Faculty of Science
Iran
2periodic function
approximation by Fourier sums
Steklov function
A modified LLL algorithm for change of ordering of Grobner basis
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2
In this paper, a modied version of LLL algorithm, which is a an algorithm with outputsensitivecomplexity, is presented to convert a given Grobner basis with respect to a specic order of a polynomialideal I in arbitrary dimensions to a Grobner basis of I with respect to another term order.Also a comparison with the FGLM conversion and Buchberger method is considered.
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59
65


M.
Borujeni
School of Mathematics and Computer Science, Damghan University, Damghan, Iran
School of Mathematics and Computer Science,
Iran


A.
Basiri
School of Mathematics and Computer Science, Damghan University, Damghan, Iran
School of Mathematics and Computer Science,
Iran


S.
Rahmany
School of Mathematics and Computer Science, Damghan University, Damghan, Iran
School of Mathematics and Computer Science,
Iran


A. H.
Borzabadi
School of Mathematics and Computer Science, Damghan University, Damghan, Iran
School of Mathematics and Computer Science,
Iran
Grobner Basis
LLL Algorithm
Reduced Lattice Basis
Sigmaweak amenability of Banach algebras
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2
Let A be a Banach algebra, be continuous homomorphism on A with (A) = A. The boundedlinear map D : A ! A is derivation, ifD(ab) = D(a) (b) + (a) D(b) (a; b 2 A):We say that A is weakly amenable, when for each bounded derivation D : A ! A, there existsa 2 A such that D(a) = (a) a a (a). For a commutative Banach algebra A, we showA is weakly amenable if and only if every derivation from A into a symmetric BanachAbimodule X is zero. Also, we show that a commutative Banach algebra A is weakly amenableif and only if A# is #weakly amenable, where #(a + ) = (a) + .
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66
73


T.
Yazdanpanah
Department of Mathematics, Persian Gulf University, Bushehr, 75168, Iran
Department of Mathematics, Persian Gulf University
Iran


I.
Mozzami Zadeh
Department of Mathematics, Persian Gulf University, Bushehr, 75168, Iran
Department of Mathematics, Persian Gulf University
Iran
Banach algebra
derivation
weak amenability
Fuzzy difference equations of Volterra type
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2
In this work we introduce the notion of fuzzy volterra dierence equations and study the dynamicalproperties of some classes of this type of equations. We prove some comparison theorems for theseequations in terms of ordinary volterra dierence equations. Using these results the stability of thefuzzy nonlinear volterra dierence equations is investigated.
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74
78


R.
Memarbashi
Department of Mathematics, Semnan University, Semnan, Iran. P. O. Box 35195363.
Department of Mathematics, Semnan University,
Iran


A.
Ghasemabadi
Department of Mathematics, Semnan University, Semnan, Iran. P. O. Box 35195363.
Department of Mathematics, Semnan University,
Iran
Volterra dierence equations
Fuzzy
Attractivity
Stability
Shannon entropy in generalized order statistics from
Paretotype distributions
2
2
In this paper, we derive the exact analytical expressions for the Shannon entropy of generalized orderstatistics from Paretotype and related distributions.
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79
91


B.
Afhami
Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran, 7616914111.
Department of Mathematics, Shahid Bahonar
Iran


M.
Madadi
Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran, 7616914111.
Department of Mathematics, Shahid Bahonar
Iran
Shannon entropy
generalized order statistics
Pareto distribution
Burr distribution