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The Nonlinear Nonlocal Singularly Perturbed Problems for Elliptic Equations with Boundary Perturbation
作者姓名:莫嘉琪  姚静荪
作者单位:Dept.of Mathematics Anhui Normal Univ.,Wuhu 241000,China,Dept.of Mathematics,Anhui Normal Univ.,Wuhu 241000,China
基金项目:NationalNaturalScienceFoundationofChina(No.90211004)
摘    要:The nonlinear singularly perturbed problem isa very attractive object of study in the internationalacademic circles1,2].During the past decade manyapproximate methods have been developed and re-fined,including the method of averaging,boundarylayer method,methods of matched asymptotic ex-pansion and multiple scales.Recently,many schol-ars such as Butuzov et al3],Kelley4],Hamouda5],Bell et al6],do Nascimento7]and Adams,et al8]have done a great deal of work.Using the methodof differentia…

文章编号:1007-1172(2006)01-0104-03
收稿时间:2004-11-25

The Nonlinear Nonlocal Singularly Perturbed Problems for Elliptic Equations with Boundary Perturbation
MO Jia-qi,YAO Jing-sun.The Nonlinear Nonlocal Singularly Perturbed Problems for Elliptic Equations with Boundary Perturbation[J].Journal of Shanghai Jiaotong university,2006,11(1):104-106,112.
Authors:MO Jia-qi  YAO Jing-sun
Abstract:The nonlinear nonlocal singularly perturbed boundary value problems for elliptic equation with boundary perturbation was 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 boundary layer is constructed,finally,using the theory of differential inequalities the asymptotic behavior of solution for the boundary value problems is studied and educing some relational inequalities the existence and uniqueness of solution for the original problem and the uniformly valid asymptotic estimation is discussed.
Keywords:nonlinear  elliptic equation  singular perturbation  
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