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On a class of nonlinear reaction-diffusion systems with nonlocal boundary conditions - MaRDI portal

On a class of nonlinear reaction-diffusion systems with nonlocal boundary conditions (Q1773553)

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scientific article; zbMATH DE number 2163688
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On a class of nonlinear reaction-diffusion systems with nonlocal boundary conditions
scientific article; zbMATH DE number 2163688

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    On a class of nonlinear reaction-diffusion systems with nonlocal boundary conditions (English)
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    29 April 2005
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    Summary: We prove the existence, uniqueness, and continuous dependence of a generalized solution of a nonlinear reaction-diffusion system with only integral terms in the boundaries. We first solve a particular case of the problem by using the energy-integral method. Next, via an iteration procedure, we derive the obtained results to study the solvability of the stated problem.
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    integral terms in the boundaries
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    energy-integral method
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    iteration procedure
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