On a class of nonlinear reaction‐diffusion systems with nonlocal boundary conditions

Abdelfatah Bouziani

Abstract and Applied Analysis, 2004, vol. 2004, issue 9, 793-813

Abstract: 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.

Date: 2004
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https://doi.org/10.1155/S1085337504311061

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2004:y:2004:i:9:p:793-813

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