@article {
author = {Narimani, G.},
title = {A new class of function spaces on domains of $\mathbb{R}^d$ and its relations to classical function spaces},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {4},
number = {1},
pages = {1-6},
year = {2013},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2013.17},
abstract = {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.},
keywords = {modulation spaces,Bessel Potential Spaces,Function Spaces on Domains},
url = {https://ijnaa.semnan.ac.ir/article_17.html},
eprint = {https://ijnaa.semnan.ac.ir/article_17_379fb97196caddfaa34a2f59bfffb34e.pdf}
}
@article {
author = {Suresh Kumar, G. and Appa Rao, B. V. and Murthy, M. S. N},
title = {On $\Psi$-conditional asymptotic stability of first order nonlinear matrix Lyapunov system},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {4},
number = {1},
pages = {7-20},
year = {2013},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2013.18},
abstract = {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 $X' = A(t)X + XB(t) + F(t,X)$.},
keywords = {fundamental matrix,$\Psi$-bounded,$\Psi$-stable,$\Psi$-conditional asymptotic stable},
url = {https://ijnaa.semnan.ac.ir/article_18.html},
eprint = {https://ijnaa.semnan.ac.ir/article_18_4c9bc609cd9a09ed8f29da1c68df2bc4.pdf}
}
@article {
author = {Saluja, G. S.},
title = {Convergence theorems of implicit iterates with errors for generalized asymptotically quasi-nonexpansive mappings in Banach spaces},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {4},
number = {1},
pages = {21-34},
year = {2013},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2013.23},
abstract = {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.},
keywords = {Generalized asymptotically quasi-nonexpansive mapping,implicit iteration process with errors,Common fixed point,strong convergence,uniformly convex Banach space},
url = {https://ijnaa.semnan.ac.ir/article_23.html},
eprint = {https://ijnaa.semnan.ac.ir/article_23_81b4e589cea81d129b164256ba628e30.pdf}
}
@article {
author = {Alimohammady, M. and Kalleji, M. K.},
title = {Properties of $M$−hyoellipticity for pseudo differential operators},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {4},
number = {1},
pages = {35-48},
year = {2013},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2013.24},
abstract = {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.},
keywords = {pseudo differential operator,elliptic operator,hypoelliptic operator,parametrix operator},
url = {https://ijnaa.semnan.ac.ir/article_24.html},
eprint = {https://ijnaa.semnan.ac.ir/article_24_526d06bc28411feafbd032e419349976.pdf}
}
@article {
author = {Ghaemi, M. B. and Choubin, M.},
title = {On positive solutions for a class of infinite semipositone problems},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {4},
number = {1},
pages = {49-54},
year = {2013},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2013.25},
abstract = {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.},
keywords = {positive solution,Innite semipositone,Sub- and supersolutions},
url = {https://ijnaa.semnan.ac.ir/article_25.html},
eprint = {https://ijnaa.semnan.ac.ir/article_25_7870e0429784ac5d0e18ac58d13aff5f.pdf}
}
@article {
author = {El Hamma, M. and Daher, R.},
title = {Some results of $2\pi$-periodic functions by Fourier sums in the space $L_p(2\pi)$},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {4},
number = {1},
pages = {55-58},
year = {2013},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2013.26},
abstract = {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 $L_p$.},
keywords = {$2\pi$-periodic function,approximation by Fourier sums,Steklov function},
url = {https://ijnaa.semnan.ac.ir/article_26.html},
eprint = {https://ijnaa.semnan.ac.ir/article_26_8f389ac357013560ef2c75f09c433ed1.pdf}
}
@article {
author = {Borujeni, M. and Basiri, A. and Rahmany, S. and Borzabadi, A. H.},
title = {A modified LLL algorithm for change of ordering of Grobner basis},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {4},
number = {1},
pages = {59-65},
year = {2013},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2013.27},
abstract = {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.},
keywords = {Grobner Basis,LLL Algorithm,Reduced Lattice Basis},
url = {https://ijnaa.semnan.ac.ir/article_27.html},
eprint = {https://ijnaa.semnan.ac.ir/article_27_9401864bf11c0577d12735f05c767abd.pdf}
}
@article {
author = {Yazdanpanah, T. and Mozzami Zadeh, I.},
title = {$\sigma$-weak amenability of Banach algebras},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {4},
number = {1},
pages = {66-73},
year = {2013},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2013.28},
abstract = {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 $\sigma^\#(a + \alpha) = \sigma(a) +\alpha$.},
keywords = {Banach algebra,$sigma$-derivation,$sigma$-weak amenability},
url = {https://ijnaa.semnan.ac.ir/article_28.html},
eprint = {https://ijnaa.semnan.ac.ir/article_28_0ec73acaf4acf95cbff958392ec4552b.pdf}
}
@article {
author = {Memarbashi, R. and Ghasemabadi, A.},
title = {Fuzzy difference equations of Volterra type},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {4},
number = {1},
pages = {74-78},
year = {2013},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2013.56},
abstract = {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.},
keywords = {Volterra difference equations,Fuzzy,Attractivity,stability},
url = {https://ijnaa.semnan.ac.ir/article_56.html},
eprint = {https://ijnaa.semnan.ac.ir/article_56_21e047dc421a9ca61e50ac8984d25f7e.pdf}
}
@article {
author = {Afhami, B. and Madadi, M.},
title = {Shannon entropy in generalized order statistics from Pareto-type distributions},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {4},
number = {1},
pages = {79-91},
year = {2013},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2013.59},
abstract = {In this paper, we derive the exact analytical expressions for the Shannon entropy of generalized order statistics from Pareto-type and related distributions.},
keywords = {Shannon entropy,generalized order statistics,Pareto distribution,Burr distribution},
url = {https://ijnaa.semnan.ac.ir/article_59.html},
eprint = {https://ijnaa.semnan.ac.ir/article_59_99c5cf63356fad7b661b8c99e7408863.pdf}
}