Existence Of Solutions For Boundary Value Problems Of Second Order Integro-Differential Equations In Banach Spaces

In this dissertation, the following boundary value problems (BVP) for second orderintegro-differential equations in Banach spaces are considered. Suppose the following assumptions are satisfied:ire the lower and upper solutions of BVP(2.l) and satisfyUsing the method of upper and lower solutions and monotone iterative technique, we have obtained the existence of solutions of BVP(2.1). The conclusions are as follows:converge uniformly and monotonically to the minimal and maximal solutions p(t), respectively of the BVP(2.1).As an application, we study the boundary value problems for three order differential equations in Banach spaces.