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

Abdelfatah Bouziani

Abstract and Applied Analysis, 2004, vol. 2004, 1-21

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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:764317

DOI: 10.1155/S1085337504311061

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