奇摄动Volterra型积分微分方程的非线性边值问题

Singular Perturbation of Volterra Type Integrodifferential Equation for Nonlinear Boundary Value Problems

利用微分不等式理论研究了二阶Volterra型积分微分方程非线性边值问题的解的存在性和一致有效估计.以上下解为基础,在适当条件下,构造具体的上下解,得到了解的存在性和一致有效估计.结果表明这种技巧为奇摄动边值问题的存在性和一致有效估计研究提出了新的思路.

The existence and uniformly estimation of solution for nonlinear boundary value problem of Voherra type equation are studied by means of differential inequality theories. Based on the upper and lower solution, specific upper and lower solutions are constructed, and the existence and uniformly estimation of solution are obtained. The result shows that it is a new way to apply these techniques to solving the existence and uniformly estimation of singularly perturbed boundary problem,