Dynamics of reaction-diffusion equations with nonlocal boundary conditions
Dynamics of reaction-diffusion equations with nonlocal boundary conditions
The purpose of this paper is to investigate the existence, uniqueness, and dynamics of a nonlinear reaction-diffusion equation with a nonlocal boundary condition which is motivated by a model problem arising from quasi-static thermoelasticity. The method of upper and lower solutions is used to obtain some existence-comparison results for both …