Nonlinear Boundary Value Problems for Integro-differential Equations of Volterrs Type
Received:May 05, 1992  Revised:July 05, 1993
Key Words: integro-differential equation   boundary value problem   singular perturbation   upper and lower solutions   boundary layer。  
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Author NameAffiliation
Zhang Xiang Dept.of Math.Nanjing University 210093 
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Abstract:
      In this paper we first discuss the existence of solutions of Dirichlet and nonlinear bound-ary value problems for a class of Volterra integro-differential equations by using upper andlower solutions, Then, by virtue of differential inequalities obtained,we consider a classof corresponding singularly perturbed nonlinear boundary value problem,and obtain theexistence of uniformly valid asymptotic solution involving boundary layer。
Citation:
DOI:10.3770/j.issn:1000-341X.1995.01.017
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