二阶Volterra型积分微分差分方程周期边值问题的存在性与唯一性

Existence and Uniqueness of Solutions for Periodic Boundary Value Problems of Second Order Volterra Type Integro-Differential-Difference Equation

利用微分不等式技巧研究了某一类二阶Volterra型积分微分差分方程的两点边值问题,在上下解存在的条件下,得到了解的存在性和唯一性定理.结果表明:这种技巧为其它边值问题的研究提出了崭新的思路.

Periodic boundary value problems of second order integro-differential-difference equation are studied by means of differential inequality theories. Based on suit condition, the existence and unique of solutions was established. The result showed that this technique can be applied in solving other boundary value problems.