Positive Solutions For Two Singular Differential Equations' Boundary Value Problem

In this paper,We are concerned with positive solutions for two singular differential equations' boundary value problem ,(1) The present paper deals with positive solutions for a singular nonlinear second order Neumann boundary value problem.where m 0 and f(t, u) may be singular at u = 0. (2) The present paper deals with positive solutions for first-order periodic boundary value problem.where 0 and f(t,u) may appear singularity at u = 0.On the basis of the cone-fixed point theorem,the present paper deals with positive solutions for two singular differential equations' boundary value problem .Throughout the paper,we make the assumptions (H1) - (H4) (H1`) -(#4).The main result of this paper :Theorem 1 Under the assumption (H1) - (H4),the second-order Neumann boundary value problem (1) - (2) has positive solution.Theorem 2 Under the assumption (H1`) - (H'4),the first-order periodic boundary value problem (1') - (2') has positive solution.