Reaction diffusion equations with nonlocal boundary and nonlocal initial conditions
The author considers the existence, multiplicity, and asymptotic behavior of solutions for a reaction diffusion equation under nonlocal boundary and nonlocal initial conditions. The main results are the theorems about the existence of multiple solutions for both the time-dependent and the steady-state problems, and that each of the time-dependent solutions converges to one of the steady-state solutions.
scientific article; zbMATH DE number 861792