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Asymptotic solution of quasi-linear singularly perturbed boundary value problems with singular equation
Authors:Lihua Chen  Jiaqi Mo
Affiliation:CHEN Lihua1,MO Jiaqi2,3 1. Department of Mathematics , Computer Science,Fuqing Branch of Fujian Normal University,Fuqing 350300,Fujian,China,2. Department of Mathematics,Anhui Normal University,Wuhu 241000,Anhui,3. Division of Computational Science,E-Institutes of Shanghai Universities at Shanghai Jiao Jong University,Shanghai 200240
Abstract:A class of quasi-linear singularly perturbed boundary value problems with singular equation is considered. Under suitable conditions, the existence and asymptotic behavior of a solution for the boundary value problem are studied by using the theory of differential inequalities,and the uniformly valid asymptotic expansion of solution with boundary layer is obtained.
Keywords:nonlinear  singular equation  singular perturbation  boundary value problem  
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