Solutions For Differential Equations' Periodic Boundary Value Problem In Banach Spaces

In this paper,we are concerned with the existence of solutions for two differential equations' periodic boundary value problem in Banach spaces.where m is a constant and m∈[-π,π] , m≠0. where ρ > 0 and p is a constant.On the basis of the construct of Green's functions and the fixed point theorem for increasing operators without continuity proposed by Wang Jian-guo, we obtain some new existence results. The main characters of these results are that the nonlinear term F(t,x) can be not continuous and the upper and lower solutions may be not exist in the same time.