The nonlinear nonlocal singularly perturbed problems for reaction diffusion equations |
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Authors: | Mo Jia-qi Zhu Jiang |
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Institution: | 1. Department of Mathematics, Anhui Normal University, Wuhu, Anhiu 241000, P.R.China;2. ICEES, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, P.R.China |
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Abstract: | A class of nonlinear nonlocal for singularly perturbed Robin initial boundary value problems for reaction diffusion equations
is considered. Under suitable conditions, firstly, the outer solution of the original problem is obtained, secondly, using
the stretched variable, the composing expansion method and the expanding theory of power series the initial layer is constructed,
finally, using the theory of differential inequalities the asymptotic behavior of solution for the initial boundary value
problems are studied and educing some relational inequalities the existence and uniqueness of solution for the original problem
and the uniformly valid asymptotic estimation is discussed.
Foundation items: the National Natural Science Foundation of China (10071048); the “Hunfred Talents Project” by Chinese Academy of Sciences
Biography: Mo Jia-qi (1937−) |
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Keywords: | nonlinear reaction diffusion singular perturbation |
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