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Reaction diffusion equations for nonlinear boundary conditions
Authors:CHEN Lihua    DU Zengji    MO Jiaqi
Affiliation:1. Department of Mathematics and Computer Science, Fuqing Branch of Fujian Normal University, Fuqing 350300, Fujian,China
2. School of Mathematical Sciences, Jiangsu Normal University, Xuzhou 221116, Jiangsu, China
3. Department of Mathematics, Anhui Normal University,Wuhu 241003, Anhui, China
Abstract:A class of singularly perturbed initial boundary value problems of reaction diffusion equations for nonlinear boundary conditions is considered. Under suitable conditions, by using the theory of differential inequalities, the existence and asymptotic behavior of solution for initial boundary value problem are studied. Moreover, the obtained solution indicates that there are initial and boundary layers, and the thickness of the initial layer is less than that of the boundary layer.
Keywords:nonlinear  two parameters  singular perturbation  reaction diffusion equation
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