摘要
In this paper, we study a kind of boundary value problem for volterra functional differential equation:ε x″(t)=f(t,ε)x′(t)+g(t,x(t),(t),x(t-τ),ε), t∈(0,1) x(t)=(t,ε), t∈, x(1)=ψ(ε) Using the theory of differential inequality, we prove the existence of the solution and give a uniformly valid asympototic expansions of the solution. Meanwhile, an estimation of the derivative solution is given as well.
In this paper, we study a kind of boundary value problem for volterra functional differential equation:ε x″(t)=f(t,ε)x′(t)+g(t,x(t),(t),x(t-τ),ε), t∈(0,1) x(t)=(t,ε), t∈, x(1)=ψ(ε) Using the theory of differential inequality, we prove the existence of the solution and give a uniformly valid asympototic expansions of the solution. Meanwhile, an estimation of the derivative solution is given as well.
