Existence And Multiplicity Of Solutions To Nonlinear Conjugate Boundary Value Problem

In this paper, the existence and multiplicity of solutions for the two conjugate boundary value problems is discussed by means of employing topological degree method and critical point theory of nonlinear functional analysis. The new results are obtained and the previous results are improved.In chapter I, at first, the existence and multiplicity of positive solutionsfor the second-order three-point boundary value problemis considered. Where and there exist t₀ ∈ [η,1] such that α(t₀) > 0.In addition, the conjugate boundary value problem of (1.1)is firstly introduced, at the same time, the existence and multiplicity of positive solutions is discussed. Where g∈C([0,∞),[0,∞))...