Reaction diffusion equations for nonlinear boundary conditions |
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Authors: | CHEN Lihua DU Zengji MO Jiaqi |
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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 |
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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. |
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Keywords: | nonlinear two parameters singular perturbation reaction diffusion equation |
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