Having A Discontinuous Boundary Value Problems For Nonlinear Term

A boundary value problem for discontinuity with nonlinear terms, using fixed pointindex theory, from a different point of view, the existence of positive solution are studied.The full text is divided into three chapters, the main contents are as follows:The first chapter is the introduction part, the research background is introduced, andthe current (k, n-k) conjugate boundary value problems with the status quo of theresearch, presents the main research content of this article.Chapter second, by using the fixed point index theory, have studied the resonance oftwo order multi point boundary value problem, the existence of positive solutions ofseveral theorems, which the nonlinear term may not continuous.The third chapter is the study of singular (k, n-k) conjugate boundary value problempositive solution existence. By using the fixed point index theory, in weak condition wasobtained for the boundary value problem has at least one positive solutions, two positivesolutions, the existence of three positive solutions theorem.