时标上二阶非线性动力方程边值问题非平凡解的存在性

Existence of Nontrivial Solutions for Second-order Dynamic Equations Boundary Value Problems on Time Scales

利用的主要工具是Leray-Schauder选择定理,研究了时标上二阶动力方程边值问题,在没有使用现有文献中常见的单调方法和对F非负假设的条件下,给出了其平凡解存在的充分条件.

This paper mainly deals with the second-order dynamic equations boundary value problems. Sufficient conditions for the existence of nontrivial solutions are given without nonnegative assumption and monotonicity in the literature. The main tool is based on Leray-Schauder nonlinear ahemative.