具非线性边界条件的半线性时滞微分方程边值问题奇摄动

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基金项目: 国家自然科学基金资助项目(19871005)

Singularly Perturbed Boundary Value Problems for Semi-Linear Retarded Differential Equations With Nonlinear Boundary Conditions

1.
Department of Mathematics, Beijing Institute of Technology, Beijing 100081, P. R. China;
2.
Department of Mathematics, Zhengzhou University, Zhengzhou 450052, P. R. China

摘要: 利用微分不等式理论研究了一类具非线性边界条件的半线性时滞微分方程边值问题.采用新的方法构造上下解,得到了此边值问题解的存在性的充分条件,并给出了解的一致有效渐近展开式.
- 奇摄动 /
- 时滞微分方程 /
- 边值问题 /
- 一致有效渐近展开式
Abstract: A boundary value problems for functional differenatial equations, with nonlinear boundary condition, is studied by the theorem of differential inequality. Using new method to construct the upper solution and lower solution, sufficient conditions for the existence of the problems. solution are established. A uniformly valid asymptotic expansions of the solution is also given.
- singular perturbation /
- functional differential equation /
- boundary value problem /
- uniformly valid asymptotic expansion

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