ORIGINAL_ARTICLE
A new class of function spaces on domains of $\mathbb{R}^d$ and its relations to classical function spaces
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.
https://ijnaa.semnan.ac.ir/article_17_379fb97196caddfaa34a2f59bfffb34e.pdf
2013-01-01
1
6
10.22075/ijnaa.2013.17
modulation spaces
Bessel Potential Spaces
Function Spaces on Domains
G.
Narimani
1
Department of Mathematics and Applications, Faculty of Basic Sciences, University of Mohaghegh Ardabili, P.O. Box 179, Ardabil, Iran
LEAD_AUTHOR
ORIGINAL_ARTICLE
On $\Psi$-conditional asymptotic stability of first order nonlinear matrix Lyapunov system
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 $X' = A(t)X + XB(t) + F(t,X)$.
https://ijnaa.semnan.ac.ir/article_18_4c9bc609cd9a09ed8f29da1c68df2bc4.pdf
2013-01-01
7
20
10.22075/ijnaa.2013.18
fundamental matrix
$Psi$-bounded
$Psi$-stable
$Psi$-conditional asymptotic stable
G.
Suresh Kumar
drgsk006@gmail.com
1
Department of Mathematics, Konenu Lakshmaiah University, Green Fields, Vaddeswaram-522 502, Guntur Dt., Andhra Pradesh, India
AUTHOR
B. V.
Appa Rao
bvardr2010@gmail.com
2
Department of Mathematics, Konenu Lakshmaiah University, Green Fields, Vaddeswaram-522 502, Guntur Dt., Andhra Pradesh, India
AUTHOR
M. S. N
Murthy
drmsn2002@gmail.com
3
Department of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar 522510, Guntur, Andhrapradesh, India
LEAD_AUTHOR
ORIGINAL_ARTICLE
Convergence theorems of implicit iterates with errors for generalized asymptotically quasi-nonexpansive mappings in Banach spaces
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.
https://ijnaa.semnan.ac.ir/article_23_81b4e589cea81d129b164256ba628e30.pdf
2013-01-01
21
34
10.22075/ijnaa.2013.23
Generalized asymptotically quasi-nonexpansive mapping
implicit iteration process with errors
Common fixed point
strong convergence
uniformly convex Banach space
G. S.
Saluja
1
Department of Mathematics and Information Technology, Govt. Nagarjuna P.G. College of Science, Raipur- 492010 (C.G.), India
LEAD_AUTHOR
ORIGINAL_ARTICLE
Properties of $M$−hyoellipticity for pseudo differential operators
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.
https://ijnaa.semnan.ac.ir/article_24_526d06bc28411feafbd032e419349976.pdf
2013-01-01
35
48
10.22075/ijnaa.2013.24
pseudo differential operator
elliptic operator
hypoelliptic operator
parametrix operator
M.
Alimohammady
1
Department of Mathematics, University of Mazandaran, Babolsar 47416-1468, Iran.
LEAD_AUTHOR
M. K.
Kalleji
2
Department of Mathematics, University of Mazandaran, Babolsar 47416-1468, Iran.
AUTHOR
ORIGINAL_ARTICLE
On positive solutions for a class of infinite semipositone problems
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.
https://ijnaa.semnan.ac.ir/article_25_7870e0429784ac5d0e18ac58d13aff5f.pdf
2013-01-01
49
54
10.22075/ijnaa.2013.25
positive solution
Innite semipositone
Sub- and supersolutions
M. B.
Ghaemi
1
Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran
LEAD_AUTHOR
M.
Choubin
2
Department of Mathematics, Faculty of Basic Sciences, Payame Noor University, Tehran, Iran
AUTHOR
ORIGINAL_ARTICLE
Some results of $2\pi$-periodic functions by Fourier sums in the space $L_p(2\pi)$
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 $L_p$.
https://ijnaa.semnan.ac.ir/article_26_8f389ac357013560ef2c75f09c433ed1.pdf
2013-01-01
55
58
10.22075/ijnaa.2013.26
$2pi$-periodic function
approximation by Fourier sums
Steklov function
M.
El Hamma
1
Department of Mathematics, Faculty of Science Ain Chock, University Hassan II, Casablanca, Morocco
LEAD_AUTHOR
R.
Daher
2
Department of Mathematics, Faculty of Science Ain Chock, University Hassan II, Casablanca, Morocco
AUTHOR
ORIGINAL_ARTICLE
A modified LLL algorithm for change of ordering of Grobner basis
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.
https://ijnaa.semnan.ac.ir/article_27_9401864bf11c0577d12735f05c767abd.pdf
2013-01-01
59
65
10.22075/ijnaa.2013.27
Grobner Basis
LLL Algorithm
Reduced Lattice Basis
M.
Borujeni
1
School of Mathematics and Computer Science, Damghan University, Damghan, Iran
AUTHOR
A.
Basiri
2
School of Mathematics and Computer Science, Damghan University, Damghan, Iran
LEAD_AUTHOR
S.
Rahmany
3
School of Mathematics and Computer Science, Damghan University, Damghan, Iran
AUTHOR
A. H.
Borzabadi
4
School of Mathematics and Computer Science, Damghan University, Damghan, Iran
AUTHOR
ORIGINAL_ARTICLE
$\sigma$-weak amenability of Banach algebras
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 $\sigma^\#(a + \alpha) = \sigma(a) +\alpha$.
https://ijnaa.semnan.ac.ir/article_28_0ec73acaf4acf95cbff958392ec4552b.pdf
2013-01-01
66
73
10.22075/ijnaa.2013.28
Banach algebra
$sigma$-derivation
$sigma$-weak amenability
T.
Yazdanpanah
1
Department of Mathematics, Persian Gulf University, Bushehr, 75168, Iran
LEAD_AUTHOR
I.
Mozzami Zadeh
2
Department of Mathematics, Persian Gulf University, Bushehr, 75168, Iran
AUTHOR
ORIGINAL_ARTICLE
Fuzzy difference equations of Volterra type
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.
https://ijnaa.semnan.ac.ir/article_56_21e047dc421a9ca61e50ac8984d25f7e.pdf
2013-01-01
74
78
10.22075/ijnaa.2013.56
Volterra difference equations
Fuzzy
Attractivity
stability
R.
Memarbashi
1
Department of Mathematics, Semnan University, Semnan, Iran. P. O. Box 35195-363.
LEAD_AUTHOR
A.
Ghasemabadi
2
Department of Mathematics, Semnan University, Semnan, Iran. P. O. Box 35195-363.
AUTHOR
ORIGINAL_ARTICLE
Shannon entropy in generalized order statistics from Pareto-type distributions
In this paper, we derive the exact analytical expressions for the Shannon entropy of generalized order statistics from Pareto-type and related distributions.
https://ijnaa.semnan.ac.ir/article_59_99c5cf63356fad7b661b8c99e7408863.pdf
2013-01-01
79
91
10.22075/ijnaa.2013.59
Shannon entropy
generalized order statistics
Pareto distribution
Burr distribution
B.
Afhami
1
Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran, 76169-14111.
AUTHOR
M.
Madadi
2
Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran, 76169-14111.
LEAD_AUTHOR