Abstract
In this paper the singularly perturbed initial boundary value problems for a nonlocal reaction diffusion system are considered. Using the iteration method and the comparison theorem, the existence and asymptotic behavior of solutions for the problem are studied.
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Supported by the National Natural Science Foundation of China (No.40676016) the National Key Project for Basics Research (2003CB415101-03 and 2004CB418304), the Key Project of the Chinese Academy of Sciences (KZCX3-SW-221),and in part by E-Insitutes of Shanghai Municipal Education Commission (N.E03004) and the National Science Foundation from the Education Bureau of Anhui Province (No.KJ2007A013).
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Mo, Jq., Chen, X. The nonlinear singularly perturbed nonlocal reaction diffusion systems. Acta Math. Appl. Sin. Engl. Ser. 24, 553–562 (2008). https://doi.org/10.1007/s10255-004-4129-0
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DOI: https://doi.org/10.1007/s10255-004-4129-0