
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.
nonlocal boundary conditions, Reaction-diffusion equations, Asymptotic behavior of solutions to PDEs, Applied Mathematics, nonlocal initial conditions, Analysis
nonlocal boundary conditions, Reaction-diffusion equations, Asymptotic behavior of solutions to PDEs, Applied Mathematics, nonlocal initial conditions, Analysis
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