一类p-Laplace分数阶脉冲常微分系统解的存在性

Existence of Solutions to a Class of p-Laplace Fractional Impulsive Ordinary Differential System

本文利用山路引理研究一类p-Laplace分数阶脉冲常微分系统解的存在性问题.在非线性项满足超p次增长的条件下,证明系统至少有一个非平凡解.

In this paper we investigate the existence of solutions to a class of p -Laplace fractional impulsive ordinary differential system. By using the mountain pass theorem, we show that the system has at least one nontrivial solution if its nonlinear term possesses a super- p -growth rate.