二阶Volterra型积分微分差分方程的非线性边值问题的奇摄动

Singularly perturbed nonlinear boundary problem of second order Volterra type integro-differential-difference equation

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

The existence and asymptotic estimates of solution for nonlinear boundary value problem of Volterra type integro-differential-difference equation by means of differential inequality theories is studied. Specific upper and lower solutions were constructed, the existence and asymptotic estimates of solution was obtained. The result shows that is a new idea to apply these techniques to solving the existence and asymptotic estimates of singularly perturbed boundary problem.