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
https://ijnaa.semnan.ac.ir/article_17.html
https://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-<br />ymptotic stability of the solution of a linear matrix Lyapunov system and sucient<br />conditions for psi -conditional asymptotic stability of the solution of a rst order<br />non-linear matrix Lyapunov system X0 = A(t)X + XB(t) + F(t;X).
fundamental matrix,psi-bounded,psi-stable,psi-conditional asymptotic stable
https://ijnaa.semnan.ac.ir/article_18.html
https://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-<br />rors converges strongly to a common xed point for a nite family of generalized<br />asymptotically quasi-nonexpansive mappings on unbounded sets in a uniformly<br />convex Banach space. Our results unify, improve and generalize the correspond-<br />ing results of Ud-din and Khan [4], Sun [21], Wittman [23], Xu and Ori [26] and<br />many others.
Generalized asymptotically quasi-nonexpansive mapping,implicit iteration process with errors,common fixed point,strong convergence,uniformly convex Banach space
https://ijnaa.semnan.ac.ir/article_23.html
https://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 inside<br />Sm ρ,φ that we shall introduce as the following. So for because hypoelliptic pseudodifferential operators<br />plays a key role in quantum mechanics we will investigate some properties of M−hypoelliptic pseudo<br />differential operators for which define base on this class of symbols. Also we consider maximal and<br />minimal operators of M−hypoelliptic pseudo differential operators and we express some results about<br />these operators.
pseudo differential operator,elliptic operator,hypoelliptic operator,parametrix
operator
https://ijnaa.semnan.ac.ir/article_24.html
https://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 problem<br />u = au bu<br /> f(u) <br />c<br />u ; x 2 <br />; u = 0; x 2 @<br />;<br />where is the Laplacian operator, <br /> > 1, 2 (0; 1), a; b and c are positive constants, <br /> is a bounded<br />domain in RN with smooth boundary @<br />, and f : [0;1) ! R is a continuous function such that<br />f(u) ! 1 as u ! 1. Also we assume that there exist A > 0 and > 1 such that f(s) As, for<br />all s 0. . We obtain our result via the method of sub- and supersolutions.
positive solution,Innite semipositone,Sub- and supersolutions
https://ijnaa.semnan.ac.ir/article_25.html
https://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 dene<br />the class of functions Wr;k<br />p;' in the space Lp. For this class, we prove an analog of the estimates in [1]<br />in the space Lp.
2-periodic function,approximation by Fourier sums,Steklov function
https://ijnaa.semnan.ac.ir/article_26.html
https://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-sensitive<br />complexity, is presented to convert a given Grobner basis with respect to a specic order of a polynomial<br />ideal I in arbitrary dimensions to a Grobner basis of I with respect to another term order.<br />Also a comparison with the FGLM conversion and Buchberger method is considered.
Grobner Basis,LLL Algorithm,Reduced Lattice Basis
https://ijnaa.semnan.ac.ir/article_27.html
https://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 bounded<br />linear map D : A ! A is derivation, if<br />D(ab) = D(a) (b) + (a) D(b) (a; b 2 A):<br />We say that A is -weakly amenable, when for each bounded derivation D : A ! A, there exists<br />a 2 A such that D(a) = (a) a a (a). For a commutative Banach algebra A, we show<br />A is weakly amenable if and only if every derivation from A into a symmetric Banach<br />Abimodule X is zero. Also, we show that a commutative Banach algebra A is weakly amenable<br />if and only if A# is #weakly amenable, where #(a + ) = (a) + .
Banach algebra,-derivation,weak amenability
https://ijnaa.semnan.ac.ir/article_28.html
https://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 dynamical<br />properties of some classes of this type of equations. We prove some comparison theorems for these<br />equations in terms of ordinary volterra dierence equations. Using these results the stability of the<br />fuzzy nonlinear volterra dierence equations is investigated.
Volterra dierence equations,Fuzzy,Attractivity,stability
https://ijnaa.semnan.ac.ir/article_56.html
https://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 order<br />statistics from Pareto-type and related distributions.
Shannon entropy,generalized order statistics,Pareto distribution,Burr distribution
https://ijnaa.semnan.ac.ir/article_59.html
https://ijnaa.semnan.ac.ir/article_59_99c5cf63356fad7b661b8c99e7408863.pdf