<abstract xmlns="http://www.w3.org/1999/xhtml"> Some distributional properties of the symmetric arcsine distribution on (−1, 1) is presented. Based on the distributional properties, several characterizations of the arcsine distribution are given.</abstract>

Some characterizations of Arcsine distribution

<abstract xmlns="http://www.w3.org/1999/xhtml"> This paper is devoted to the study of the following fourth order parabolic equation ∂tu + ∂x4u = f in the non-necessarily rectangular domain Q ={(t,x) ∈ℝ2 : 0 &lt; t &lt; T, ϕ1(t) &lt; x &lt; ϕ2(t)}. The equation is subject to mixed type conditions ∂xu = ∂x3u + βu = 0, on the lateral boundary of Q. The right-hand side term f of the equation lies in Lω2 (Q) the space of square-integrable functions on Q with the measure ωdtdx. Our aim is to find sufficient conditions on the coefficient β and on the functions ϕi,i = 1, 2 and on the weight ω such that the solution of this equation belongs to the anisotropic Sobolev space Hω1,4 (Q) = {u ∈ Lω2 (Q) : ∂tu, ∂xju ∈ Lω2 (Q) , j = 1, 2, 3, 4}.The analysis is performed by using the domain decomposition method. </abstract>

On a Fourth Order Parabolic Equation with Mixed Type Boundary Conditions in a Nonrectangular Domain

<abstract xmlns="http://www.w3.org/1999/xhtml"> In this article we study the property (gab) for a bounded linear operator T 2 L(X) on a Banach space X which is a stronger variant of Browder’s theorem. We shall give several characterizations of property (gab). These characterizations are obtained by using typical tools from local spectral theory. We also show that property (gab) holds for large classes of operators and prove the stability of property (gab) under some commuting perturbations.</abstract>

Property (gab) through localized SVEP

<abstract xmlns="http://www.w3.org/1999/xhtml"> In this paper we prove existence results for distributional solutions of nonlinear elliptic systems with a measure data. The functional setting involves Lebesgue-Sobolev spaces as well as weak Lebesgue (Marcinkiewicz) spaces with variable exponents W01,p(·)(Ω) and Mp(·)(Ω) respectively. </abstract>

Institut de Mathématiques de Bordeaux UMR CNRS 5251, Université Victor Segalen Bordeaux 2, F-33076 Bordeaux Cedex,

Laboratoire des EDPNL, ENS-Kouba, Department of Mathematics and Informatics, Faculty of Sciences, Univ of Benyoucef Benkhadda, 2 rue Didouche Mourad, Algiers,

Nonlinear elliptic systems with variable exponents and measure data

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Moroccan Journal of Pure and Applied Analysis

 The Moroccan Journal of Pure and Applied Analysis "MJPAA" (Print ISSN: 2605-6364) is a peer-reviewed open access journal published by the "Université Sidi Mohamed Ben Abdellah" (Sidi Mohamed Ben Abdallah University), covering all main-stream branches of pure and applied analysis. Emphasis is placed on important developments in classical analysis, linear and nonlinear functional analysis, ordinary and partial differential equations, numerical analysis, optimization theory, and control theory.   MJPAA is published by Sidi Mohamed Ben Abdallah University in three issues in January, May and September.   Why subscribe and read    The journal covers a wide range of branches of mathematical analysis.   Pure and applied analysis topics are intensely studied by researchers throughout the world especially in Africa, the Arab and European countries.   An edition committee of high-level and international renown.   Editorial board representing different regions of the world and various research teams.      Why submit    No publication charges for the authors or their institutions.   The journal is available to be indexed in the most important databases.   The journal is among the best in its field in Africa and the Arab world.      Rejection Rate    45%      Archiving   Sciendo archives the contents of this journal in Portico - digital long-term preservation service of scholarly books, journals and collections.   Plagiarism Policy   The editorial board is participating in a growing community of Similarity Check System's users in order to ensure that the content published is original and trustworthy. Similarity Check is a medium that allows for comprehensive manuscripts screening, aimed to eliminate plagiarism and provide a high standard and quality peer-review process.   Publisher:Sidi Mohamed Ben Abdallah University (Route Imouzzer, BP 2626 Fez 30000, Morocco, Tel. : 0212 5 35 60 96 60/ 61)   Contact:Professor Youssef Akdim, Sidi Mohamed Ben Abdellah Universitymjpaa.edition@usmba.ac.ma 

Moroccan Journal of Pure and Applied Analysis

Volume 1 (2015): Issue 2 (December 2015)

Research Article

Some characterizations of Arcsine distribution

On a Fourth Order Parabolic Equation with Mixed Type Boundary Conditions in a Nonrectangular Domain

Property (gab) through localized SVEP

Nonlinear elliptic systems with variable exponents and measure data

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