WEAK PERIODIC SOLUTIONS FOR A CLASS OF REACTION-DIFFUSION PROBLEMS

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 15

Volume : 20 , Issue : 3
DOI: https://doi.org/10.56827/SEAJMMS.2024.2003.17
Author :
Khaoula Imane Saffidine (Abdelhamid Mehri University, Constantine, ALGERIA)
Samiha Djemai (Faculty of Sciences, Ferhat Abbas University, Setif, ALGERIA)
Salim Mesbahi (Faculty of Sciences, Ferhat Abbas University, Setif, ALGERIA)

Abstract

The focus of our research paper is on exploring a quasilinear parabolic reaction-diffusion problem that includes a nonlinearity in gradient and nonlinear boundary conditions. This problem is relevant to the study of diffusion in different scientific fields. Our approach involves utilizing functional analysis techniques, specifically Schauder's fixed point theorem, to establish the existence of weak periodic solutions.

Keywords and Phrases

Reaction-diffusion equation, fixed point theorem, weak periodic solutions.

A.M.S. subject classification

35K57, 35B10, 47H10.

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