On the existence of positive solutions of a class of parabolic reaction diffusion systems

Mounir Redjouh; Salim Mesbahi

doi:10.24193/subbmath.2022.3.04

On the existence of positive solutions of a class of parabolic reaction diffusion systems

Authors

Mounir Redjouh 20 August 1955 University, Skikda
Salim Mesbahi Ferhat Abbas University, Setif 1

DOI:

https://doi.org/10.24193/subbmath.2022.3.04

Keywords:

reaction diffusion systems, parabolic systems, positive solutions, Green function

Abstract

In this paper, we show the existence of continuous positive solutions of a class of nonlinear parabolic reaction diffusion systems with initial conditions using techniques of functional analysis and potential analysis.

Author Biographies

Mounir Redjouh, 20 August 1955 University, Skikda

Department of mathematics, PhD
Salim Mesbahi, Ferhat Abbas University, Setif 1

Department of mathematics, teacher-researcher