Abstract: In this paper, by establishing a new comparison result, we investigate the existence of positive solutions for initial value problems of nonlinear systems of second order integro-differential equations in Banach space.We improve and generalize some results (see[5,6]), and the results is new even in finite dimensional spaces.
Abstract: In this paper, by constructing a special cone and using
fixed point theorem and fixed point index theorem of cone, we get the
existence of positive solution for a class of singular eigenvalue value
problems with p-Laplace operator, which improved and generalized
the result of related paper.