Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
4
1
2013
01
01
A new class of function spaces on domains of R^d and its relations to classical function spaces
1
6
EN
G.
Narimani
Department of Mathematics and Applications, Faculty of Basic Sciences, University of Mohaghegh Ardabili, P.O. Box 179, Ardabil,Iran.
10.22075/ijnaa.2013.17
http://ijnaa.semnan.ac.ir/article_17.html
http://ijnaa.semnan.ac.ir/article_17_379fb97196caddfaa34a2f59bfffb34e.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
4
1
2013
01
01
On Psi-conditional asymptotic stability of first order nonlinear matrix Lyapunov system
7
20
EN
G.
SURESH KUMAR
Department of Mathematics, Konenu Lakshmaiah University, Green Fields,
Vaddeswaram-522 502, Guntur Dt., Andhra Pradesh, India.
drgsk006@gmail.com
B. V.
Appa Rao
Department of Mathematics, Konenu Lakshmaiah University, Green Fields,
Vaddeswaram-522 502, Guntur Dt., Andhra Pradesh, India.
bvardr2010@gmail.com
M. S. N
Murthy
Department of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar
522510, Guntur, Andhrapradesh, ,India.
drmsn2002@gmail.com
10.22075/ijnaa.2013.18
We provide necessary and sucient conditions for psi-conditional as-ymptotic stability of the solution of a linear matrix Lyapunov system and sucientconditions for psi -conditional asymptotic stability of the solution of a rst ordernon-linear matrix Lyapunov system X0 = A(t)X + XB(t) + F(t;X).
fundamental matrix,psi-bounded,psi-stable,psi-conditional asymptotic stable
http://ijnaa.semnan.ac.ir/article_18.html
http://ijnaa.semnan.ac.ir/article_18_4c9bc609cd9a09ed8f29da1c68df2bc4.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
4
1
2013
01
01
Convergence theorems of implicit iterates with errors for generalized asymptotically quasi-nonexpansive mappings in Banach spaces
21
34
EN
G. S.
Saluja
Department of Mathematics and Information Technology, Govt. Nagarjuna P.G.
College of Science, Raipur - 492010 (C.G.), India.
10.22075/ijnaa.2013.23
In this paper, we prove that an implicit iterative process with er-rors converges strongly to a common xed point for a nite family of generalizedasymptotically quasi-nonexpansive mappings on unbounded sets in a uniformlyconvex Banach space. Our results unify, improve and generalize the correspond-ing results of Ud-din and Khan [4], Sun [21], Wittman [23], Xu and Ori [26] andmany others.
Generalized asymptotically quasi-nonexpansive mapping,implicit iteration process with errors,common fixed point,strong convergence,uniformly convex Banach space
http://ijnaa.semnan.ac.ir/article_23.html
http://ijnaa.semnan.ac.ir/article_23_81b4e589cea81d129b164256ba628e30.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
4
1
2013
01
01
properties of M−hyoellipticity for pseudo
differential operators
35
48
EN
M.
Alimohammady
Department of Mathematics, University of Mazandaran, Babolsar 47416-1468, Iran.
M. K.
Kalleji
Department of Mathematics, University of Mazandaran, Babolsar 47416-1468, Iran.
10.22075/ijnaa.2013.24
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.
pseudo differential operator,elliptic operator,hypoelliptic operator,parametrix
operator
http://ijnaa.semnan.ac.ir/article_24.html
http://ijnaa.semnan.ac.ir/article_24_526d06bc28411feafbd032e419349976.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
4
1
2013
01
01
On positive solutions for a class of infinite semipositone problems
49
54
EN
M. B.
Ghaemi
Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran
M.
Choubin
Department of Mathematics, Faculty of Basic Sciences, Payame Noor University, Tehran, Iran
10.22075/ijnaa.2013.25
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.
Positive solution,Innite semipositone,Sub- and supersolutions
http://ijnaa.semnan.ac.ir/article_25.html
http://ijnaa.semnan.ac.ir/article_25_7870e0429784ac5d0e18ac58d13aff5f.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
4
1
2013
01
01
Some results of 2-periodic functions by Fourier sums in the space Lp(2)
55
58
EN
M.
El Hamma
Department of Mathematics, Faculty of Science An Chock, University Hassan II, Casablanca, Morocco
R.
Daher
Department of Mathematics, Faculty of Science An Chock, University Hassan II, Casablanca, Morocco
10.22075/ijnaa.2013.26
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.
2-periodic function,approximation by Fourier sums,Steklov function
http://ijnaa.semnan.ac.ir/article_26.html
http://ijnaa.semnan.ac.ir/article_26_8f389ac357013560ef2c75f09c433ed1.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
4
1
2013
01
01
A modified LLL algorithm for change of ordering of Grobner basis
59
65
EN
M.
Borujeni
School of Mathematics and Computer Science, Damghan University, Damghan, Iran
A.
Basiri
School of Mathematics and Computer Science, Damghan University, Damghan, Iran
S.
Rahmany
School of Mathematics and Computer Science, Damghan University, Damghan, Iran
A. H.
Borzabadi
School of Mathematics and Computer Science, Damghan University, Damghan, Iran
10.22075/ijnaa.2013.27
In this paper, a modied version of LLL algorithm, which is a an algorithm with output-sensitivecomplexity, 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.
Grobner Basis,LLL Algorithm,Reduced Lattice Basis
http://ijnaa.semnan.ac.ir/article_27.html
http://ijnaa.semnan.ac.ir/article_27_9401864bf11c0577d12735f05c767abd.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
4
1
2013
01
01
Sigma-weak amenability of Banach algebras
66
73
EN
T.
Yazdanpanah
Department of Mathematics, Persian Gulf University, Bushehr, 75168, Iran
I.
Mozzami Zadeh
Department of Mathematics, Persian Gulf University, Bushehr, 75168, Iran
10.22075/ijnaa.2013.28
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) + .
Banach algebra,-derivation,weak amenability
http://ijnaa.semnan.ac.ir/article_28.html
http://ijnaa.semnan.ac.ir/article_28_0ec73acaf4acf95cbff958392ec4552b.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
4
1
2013
01
01
Fuzzy difference equations of Volterra type
74
78
EN
R.
Memarbashi
Department of Mathematics, Semnan University, Semnan, Iran. P. O. Box 35195-363.
A.
Ghasemabadi
Department of Mathematics, Semnan University, Semnan, Iran. P. O. Box 35195-363.
10.22075/ijnaa.2013.56
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.
Volterra dierence equations,Fuzzy,Attractivity,stability
http://ijnaa.semnan.ac.ir/article_56.html
http://ijnaa.semnan.ac.ir/article_56_21e047dc421a9ca61e50ac8984d25f7e.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
4
1
2013
01
01
Shannon entropy in generalized order statistics from
Pareto-type distributions
79
91
EN
B.
Afhami
Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran, 76169-14111.
M.
Madadi
Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran, 76169-14111.
10.22075/ijnaa.2013.59
In this paper, we derive the exact analytical expressions for the Shannon entropy of generalized orderstatistics from Pareto-type and related distributions.
Shannon entropy,generalized order statistics,Pareto distribution,Burr distribution
http://ijnaa.semnan.ac.ir/article_59.html
http://ijnaa.semnan.ac.ir/article_59_99c5cf63356fad7b661b8c99e7408863.pdf