Existence of positive solutions of nonlocalp(x)-Kirchhoff hyperbolic systems via sub-super solutions concept

Article type: Research Article

Authors: Boulaaras, Salah^{a; b; 1; *}

Affiliations: [a] Department of Mathematics, College of Sciences and Arts, Al-Rass,Qassim University,Kingdom of Saudi Arabia | [b] Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO),University of Oran 1, Ahmed Benbella,Algeria

Correspondence: [*] Corresponding author. Salah Boulaaras, E-mail:saleh_boulaares@yahoo.fr orS.Boularas@qu.edu.sa.

Note: [1] This presented work is in memory of author’s father (1910–1999) Mr. Mahmoud ben Mouha Boulaaras.

Abstract:  The paper deals with the existence of positive solutions of nonlocalp (x)-Kirchhoff hyperbolic systems with zero Dirichlet boundary conditions in bounded domain Ω ⊂ RN by using sub-super solutions method combined with a comparison principle. Moreover, the numerical example is presented to illustrate the stationary case.

Keywords: Positive solutions, sub-super solutions method, p (x)-Kirchhoff systems

DOI: 10.3233/JIFS-190884

Journal: Journal of Intelligent & Fuzzy Systems, vol. 38, no. 4, pp. 4301-4313, 2020