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A KIND OF SINGULARLY PERTURBED BOUNDARY VALUE PROBLEM FOR NONLINEAR VOLTERRA FUNCTIONAL DIFFERENTIAL EQUATIONS
作者姓名:Lu ShipingDept.of Math.  Anhui Normal Univ.  Wuhu .
作者单位:Lu ShipingDept.of Math.,Anhui Normal Univ.,Wuhu2 4 1 0 0 0 .
基金项目:The project is supported by Nature Science Foundation of Anhui Province Education Commission!( 98JL 1 2 9)
摘    要:§ 1 IntroductionSince 1 970 the perturbed boundary value problems for functional differential equationshave been derived in many fields,such as biology,physics,optimal control and e-conomies1 ] .Some works on studying it have appeared,for example references2~ 6] .Inthis paper,we study a kind of singularly perturbed boundary value problems for Volterrafunctional differential equations:εx″(t) =f(t,x(t) ,Tx] (t) ,x(t-τ) ,x′(t) ,ε) ,t∈ (0 ,1 ) ,(1 )x(t) =φ(t,ε) ,t∈ -τ,0 ] ,ax(1 )…


A KIND OF SINGULARLY PERTURBED BOUNDARY VALUE PROBLEM FOR NONLINEAR VOLTERRA FUNCTIONAL DIFFERENTIAL EQUATIONS
Lu ShipingDept.of Math.,Anhui Normal Univ.,Wuhu ..A KIND OF SINGULARLY PERTURBED BOUNDARY VALUE PROBLEM FOR NONLINEAR VOLTERRA FUNCTIONAL DIFFERENTIAL EQUATIONS[J].Applied Mathematics A Journal of Chinese Universities,2000(2).
Authors:Lu ShipingDeptof Math  Anhui Normal Univ  Wuhu
Institution:Lu ShipingDept.of Math.,Anhui Normal Univ.,Wuhu2 4 1 0 0 0 .
Abstract:
Keywords:Singular perturbation  functional differential equation  differential inequality  boundary value problem  
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