2013
4
1
1
91
1

A new class of function spaces on domains of R^d and its relations to classical function spaces
https://ijnaa.semnan.ac.ir/article_17.html
10.22075/ijnaa.2013.17
1
0

1
6


G.
Narimani
Department of Mathematics and Applications, Faculty of Basic Sciences, University of Mohaghegh Ardabili, P.O. Box 179, Ardabil,Iran.
Iran
1

On Psiconditional asymptotic stability of first order nonlinear matrix Lyapunov system
https://ijnaa.semnan.ac.ir/article_18.html
10.22075/ijnaa.2013.18
1
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).
0

7
20


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


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


M. S. N
Murthy
Department of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar
522510, Guntur, Andhrapradesh, ,India.
Iran
drmsn2002@gmail.com
fundamental matrix
psibounded
psistable
psiconditional asymptotic stable
1

Convergence theorems of implicit iterates with errors for generalized asymptotically quasinonexpansive mappings in Banach spaces
https://ijnaa.semnan.ac.ir/article_23.html
10.22075/ijnaa.2013.23
1
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.
0

21
34


G. S.
Saluja
Department of Mathematics and Information Technology, Govt. Nagarjuna P.G.
College of Science, Raipur  492010 (C.G.), India.
Iran
Generalized asymptotically quasinonexpansive mapping
implicit iteration process with errors
common fixed point
strong convergence
uniformly convex Banach space
1

properties of M−hyoellipticity for pseudo
differential operators
https://ijnaa.semnan.ac.ir/article_24.html
10.22075/ijnaa.2013.24
1
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.
0

35
48


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


M. K.
Kalleji
Department of Mathematics, University of Mazandaran, Babolsar 474161468, Iran.
Iran
pseudo differential operator
elliptic operator
hypoelliptic operator
parametrix operator
1

On positive solutions for a class of infinite semipositone problems
https://ijnaa.semnan.ac.ir/article_25.html
10.22075/ijnaa.2013.25
1
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.
0

49
54


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


M.
Choubin
Department of Mathematics, Faculty of Basic Sciences, Payame Noor University, Tehran, Iran
Iran
positive solution
Innite semipositone
Sub and supersolutions
1

Some results of 2periodic functions by Fourier sums in the space Lp(2)
https://ijnaa.semnan.ac.ir/article_26.html
10.22075/ijnaa.2013.26
1
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.
0

55
58


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


R.
Daher
Department of Mathematics, Faculty of Science An Chock, University Hassan II, Casablanca, Morocco
Iran
2periodic function
approximation by Fourier sums
Steklov function
1

A modified LLL algorithm for change of ordering of Grobner basis
https://ijnaa.semnan.ac.ir/article_27.html
10.22075/ijnaa.2013.27
1
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.
0

59
65


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


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


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


A. H.
Borzabadi
School of Mathematics and Computer Science, Damghan University, Damghan, Iran
Iran
Grobner Basis
LLL Algorithm
Reduced Lattice Basis
1

Sigmaweak amenability of Banach algebras
https://ijnaa.semnan.ac.ir/article_28.html
10.22075/ijnaa.2013.28
1
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) + .
0

66
73


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


I.
Mozzami Zadeh
Department of Mathematics, Persian Gulf University, Bushehr, 75168, Iran
Iran
Banach algebra
derivation
weak amenability
1

Fuzzy difference equations of Volterra type
https://ijnaa.semnan.ac.ir/article_56.html
10.22075/ijnaa.2013.56
1
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.
0

74
78


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


A.
Ghasemabadi
Department of Mathematics, Semnan University, Semnan, Iran. P. O. Box 35195363.
Iran
Volterra dierence equations
Fuzzy
Attractivity
stability
1

Shannon entropy in generalized order statistics from
Paretotype distributions
https://ijnaa.semnan.ac.ir/article_59.html
10.22075/ijnaa.2013.59
1
In this paper, we derive the exact analytical expressions for the Shannon entropy of generalized orderstatistics from Paretotype and related distributions.
0

79
91


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


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