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Research Article

WEAK PERIODIC SOLUTIONS FOR A CLASS OF REACTION-DIFFUSION PROBLEMS

K
Khaoula Imane Saffidine Abdelhamid Mehri University, Constantine, ALGERIA
S
Samiha Djemai Faculty of Sciences, Ferhat Abbas University, Setif, ALGERIA
S
Salim Mesbahi Faculty of Sciences, Ferhat Abbas University, Setif, ALGERIA
Volume 20, Issue 3 Pages 235-246 December 30, 2024 175 downloads
Article overview

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 equationfixed point theoremweak periodic solutions.

AMS Subject Classification

35K57, 35B10, 47H10.

Reference information

How to Cite

Khaoula Imane Saffidine, Samiha Djemai, Salim Mesbahi (2024). WEAK PERIODIC SOLUTIONS FOR A CLASS OF REACTION-DIFFUSION PROBLEMS. South East Asian Journal of Mathematics and Mathematical Sciences, 20(3), 235-246.
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