The Existence Of Symmetric Positive Solutions Of Multi-point Boundary Value Problems Of Second-order Dynamic Equations On Measure Chains

In this thesis, by means of fixed point theorems in cones, we consider the existence of single and multiple symmetric positive solutions of multi-point boundary value problems for second order dynamic equations on time scales.In chapter 1, we introduce the research status of dynamic equation on time scales, and some basic concepts and theorems on time scales.In chapter 2, we consider the existence of at least one symmetric positive solution of triple-point boundary value problem for second order dynamic equations on time scales.In chapter 3, we consider the existence of single and multiple symmetric positive solutions of m-point boundary value problem for second order dynamic equations on time scales.