Existence result of continuous positive solutions for a reaction–diffusion system

Abstract

This paper mainly seeks to contribute to the study of a quasilinear parabolic reaction–diffusion system of arbitrary order with initial conditions. Using potential analysis techniques, we establish the existence of continuous positive solutions. The originality lies in the fact that our system is of arbitrary order, which represents a significant advancement as our main result extends and generalizes previous findings.

Keywords

• Reaction diffusion system
• Parabolic problem
• Positive solutions