The Existence Of Solutions Of A Class Of Singular Two-Point Boundary Value Problems At Resonance

In this paper, we study the existence of solutions of a class of singular nonlinear two-point boundary value problems at resonancewhere g : R→R is continuous and bounded,Based on the Lyapunov-Schmidt procedure and the connectivity theories of the solution set of parameterized of compact vector fields, we establish the existence of at least one solution and multiple solutions for the studied problems.