The Existence Of Multiple And Symmetric Solutions To Several Class Of Second Order Three Point Boundary Value Problems

In this paper, the existence of multiple and symmetric solutions for the second order three point boundary value problems is discussed by using the fixed point index theory and three-solution theorems. The new results are obtained and the previous results are improved.This paper consists of four chapters.In chaperⅠwe introduce the historical background of problems which will be investigated and state the main results of this thesis.In chaperⅡthe existence of multiple positive solutions for the second orderthree point boundary value problem (?) (2.1) in Banachspace is discussed, where f∈C(I×P,P),ξ∈(0,1), c∈(0,+∞),0