二阶非线性积-微分方程的初值问题的上下解方法

Lower-Upper Solution Method for Initial Value Problems of Second Order Abstract Integro-Differential Equations on Infinite Intervals

建立了无限区间上二阶积－微分方程的比较定理，用上下解方法证明了无限区间上的Ｂａ－ｎａｃｈ空间二阶非线性积－微分方程的初值问题的解的存在性．

Established the comparison theorem of integro-differential equations on infinite intervals, and by applying the lower-upper solution method, proved the existence of extreme solutions for nonlinear second order integro-differential equations in infinite intervals in Banach spaces.