Reaction diffusion equations with nonlocal boundary and nonlocal initial conditions (Q1910032)

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scientific article; zbMATH DE number 861792
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Reaction diffusion equations with nonlocal boundary and nonlocal initial conditions
scientific article; zbMATH DE number 861792

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    Reaction diffusion equations with nonlocal boundary and nonlocal initial conditions (English)
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    18 November 1996
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    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.
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    nonlocal boundary conditions
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    nonlocal initial conditions
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