Existence of Coupled Solutions of BVP for ϕ-Laplacian Impulsive Differential Equations

Xiufeng Guo
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Abstract

In this paper, we study the existence of coupled solutions of anti-periodic boundary value problems for impulsive differential equations with ϕ-Laplacian operator. Based on a pair of coupled lower and upper solutions and appropriate Nagumo condition, we prove the existence of coupled solutions for anti-periodic impulsive differential equations boundary value problems with ϕ-Laplacian operator.
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关于脉冲微分方程BVP耦合解的存在性
本文研究了一类具有 -拉普拉斯算子的脉冲微分方程反周期边值问题的耦合解的存在性。基于一对上、下耦合解和适当的Nagumo条件,证明了具有ϕ- laplace算子的反周期脉冲微分方程边值问题的耦合解的存在性。
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