2022-05-16T23:23:34Z
https://ijnaa.semnan.ac.ir/?_action=export&rf=summon&issue=7
International Journal of Nonlinear Analysis and Applications
IJNAA
2013
4
1
A new class of function spaces on domains of $mathbb{R}^d$ and its relations to classical function spaces
G.
Narimani
A new class of function spaces on domains (i.e., open and connected subsets) of $\mathbb{R}^d$, by means of the asymptotic behavior of modulations of functions and distributions, is defined. This class contains the classes of Lebesgue spaces and modulation spaces. Main properties of this class are studied, its applications in the study of function spaces and its relations to classical function spaces are discussed.
modulation spaces
Bessel Potential Spaces
Function Spaces on Domains
2013
01
01
1
6
https://ijnaa.semnan.ac.ir/article_17_379fb97196caddfaa34a2f59bfffb34e.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2013
4
1
On $Psi$-conditional asymptotic stability of first order nonlinear matrix Lyapunov system
G.
Suresh Kumar
B. V.
Appa Rao
M. S. N
Murthy
We provide necessary and sufficient conditions for psi-conditional asymptotic stability of the solution of a linear matrix Lyapunov system and sufficient conditions for psi -conditional asymptotic stability of the solution of a first order non-linear matrix Lyapunov system $X' = A(t)X + XB(t) + F(t,X)$.
fundamental matrix
$Psi$-bounded
$Psi$-stable
$Psi$-conditional asymptotic stable
2013
01
01
7
20
https://ijnaa.semnan.ac.ir/article_18_4c9bc609cd9a09ed8f29da1c68df2bc4.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2013
4
1
Convergence theorems of implicit iterates with errors for generalized asymptotically quasi-nonexpansive mappings in Banach spaces
G. S.
Saluja
In this paper, we prove that an implicit iterative process with errors converges strongly to a common fixed point for a nite family of generalized asymptotically quasi-nonexpansive mappings on unbounded sets in a uniformly convex Banach space. Our results unify, improve and generalize the corresponding results of Ud-din and Khan [4], Sun [21], Wittman [23], Xu and Ori [26] and many others.
Generalized asymptotically quasi-nonexpansive mapping
implicit iteration process with errors
Common fixed point
strong convergence
uniformly convex Banach space
2013
01
01
21
34
https://ijnaa.semnan.ac.ir/article_23_81b4e589cea81d129b164256ba628e30.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2013
4
1
Properties of $M$−hyoellipticity for pseudo differential operators
M.
Alimohammady
M. K.
Kalleji
In this paper we study properties of symbols such that these belong to class of symbols sitting inside $S_{\rho,\varphi}^m$ that we shall introduce as the following. So for because hypoelliptic pseudodifferential operators play a key role in quantum mechanics we will investigate some properties of $M$−hypoelliptic pseudo differential operators for which define base on this class of symbols. Also we consider maximal and minimal operators of $M$-hypoelliptic pseudo differential operators and we express some results about these operators.
pseudo differential operator
elliptic operator
hypoelliptic operator
parametrix operator
2013
01
01
35
48
https://ijnaa.semnan.ac.ir/article_24_526d06bc28411feafbd032e419349976.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2013
4
1
On positive solutions for a class of infinite semipositone problems
M. B.
Ghaemi
M.
Choubin
We discuss the existence of a positive solution to the innite semipositone problem$$\Delta u=au-bu^\gamma-f(u)-\frac{c}{u^\alpha}, \quad x\in\Omega,\quad u=0, x\in\partial\Omega,$$where $\Delta$ is the Laplacian operator, $\gamma>1, \alpha\in(0,1), a,b$ and $c$ are positive constants, $\Omega$ is a bounded domain in $\mathbb{R}^N$ with smooth boundary $\partial\Omega$, and $f : [0;1) \to \mathbb{R}$ is a continuous function such that $f(u)\to \infty$ as $u\to \infty$. Also we assume that there exist $A > 0$ and $\beta > 1$ such that $f(s) \leq As^\beta$, for all $s \geq 0$. We obtain our result via the method of sub- and supersolutions.
positive solution
Innite semipositone
Sub- and supersolutions
2013
01
01
49
54
https://ijnaa.semnan.ac.ir/article_25_7870e0429784ac5d0e18ac58d13aff5f.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2013
4
1
Some results of $2pi$-periodic functions by Fourier sums in the space $L_p(2pi)$
M.
El Hamma
R.
Daher
In this paper, using the Steklov function, we introduce the generalized continuity modulus and define the class of functions $W_{\rho,\varphi}^{r,k}$ in the space $L_p$. For this class, we prove an analog of the estimates in [1] in the space $L_p$.
$2pi$-periodic function
approximation by Fourier sums
Steklov function
2013
01
01
55
58
https://ijnaa.semnan.ac.ir/article_26_8f389ac357013560ef2c75f09c433ed1.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2013
4
1
A modified LLL algorithm for change of ordering of Grobner basis
M.
Borujeni
A.
Basiri
S.
Rahmany
A. H.
Borzabadi
In this paper, a modified version of LLL algorithm, which is a an algorithm with output-sensitive complexity, is presented to convert a given Grobner basis with respect to a specific order of a polynomial ideal 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
2013
01
01
59
65
https://ijnaa.semnan.ac.ir/article_27_9401864bf11c0577d12735f05c767abd.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2013
4
1
$sigma$-weak amenability of Banach algebras
T.
Yazdanpanah
I.
Mozzami Zadeh
Let $\mathcal{A}$ be a Banach algebra, $\sigma$ be continuous homomorphism on $\mathcal{A}$ with $\overline{\sigma(\mathcal{A})}=\mathcal{A}$. The bounded linear map $D : \mathcal{A}\to\mathcal{A}^*$ is $\sigma$-derivation, if$$D(ab) = D(a) \sigma(b) + \sigma(a) D(b)\quad (a, b\in \mathcal{A}).$$We say that A is $\sigma$-weakly amenable, when for each bounded derivation $D : \mathcal{A}\to\mathcal{A}^*$, there exists $a^*\in \mathcal{A}^*$ such that $D(a) = \sigma(a) a^*-a^*\sigma(a)$. For a commutative Banach algebra $\mathcal{A}$, we show $ \mathcal{A}$ is $\sigma$-weakly amenable if and only if every $\sigma$-derivation from $\mathcal{A}$ into a $\sigma$-symmetric Banach $ \mathcal{A}$-bimodule $X$ is zero. Also, we show that a commutative Banach algebra $ \mathcal{A}$ is $\sigma$-weakly amenable if and only if $A^\#$ is $\sigma^\#$-weakly amenable, where $\sigma^\#(a + \alpha) = \sigma(a) +\alpha$.
Banach algebra
$sigma$-derivation
$sigma$-weak amenability
2013
01
01
66
73
https://ijnaa.semnan.ac.ir/article_28_0ec73acaf4acf95cbff958392ec4552b.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2013
4
1
Fuzzy difference equations of Volterra type
R.
Memarbashi
A.
Ghasemabadi
In this work we introduce the notion of fuzzy Volterra difference equations and study the dynamical properties of some classes of this type of equations. We prove some comparison theorems for these equations in terms of ordinary Volterra difference equations. Using these results the stability of the fuzzy nonlinear Volterra difference equations is investigated.
Volterra difference equations
Fuzzy
Attractivity
stability
2013
01
01
74
78
https://ijnaa.semnan.ac.ir/article_56_21e047dc421a9ca61e50ac8984d25f7e.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2013
4
1
Shannon entropy in generalized order statistics from Pareto-type distributions
B.
Afhami
M.
Madadi
In this paper, we derive the exact analytical expressions for the Shannon entropy of generalized order statistics from Pareto-type and related distributions.
Shannon entropy
generalized order statistics
Pareto distribution
Burr distribution
2013
01
01
79
91
https://ijnaa.semnan.ac.ir/article_59_99c5cf63356fad7b661b8c99e7408863.pdf