Banach空间二阶积分-微分方程两点边值问题的解

Solutions of Two-point Boundary Value Problems for Secondorder Integro-differential Equations in Banach Spaces

利用Darbo不动点定理的一般化结果以及一个脉冲积分不等式,研究Banach空间二阶混合型积分-微分方程两点边值问题解的存在性,获得了其解的两个存在性结果.并给出了一个应用例子.

In this paper, by using the generalization of Darbo＇s fixed point theorem, we investigate the solutions of two-point boundary value problems for second order integro-differential equations of mixed-type in Banach spaces. Two existence results are obtained. An example is given to demonstrate the applications of our theorem.