Banach空间二阶混合型积分-微分方程的周期边值问题

Periodic Boundary Value Problems of Second Order Integro-differential Equations with Mixed Type in Banach Spaces

考察Banach空间一般的二阶混合型积分-微分方程,利用M nch不动点定理和一个比较不等式,获得了其周期边值问题解的一个存在性定理.这一结果考虑了通常方程中导数与固定限积分算子的作用,改进和推广了现有结果.

The author investigates the existence of solutions of periodic boundary value problems for second order integro-differential equation with mixed-type in Banach spaces.By the Mnch fixed point theorem and an inequality,the existence of its solutions is obtained.The result improves and generalizes the specific ones,since it has considered influence of a derivative item and the integral operator item with a fixed limits.