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一类含有p-Laplacian算子的脉冲微分方程解的存在性和多重性

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一类含有p-Laplacian算子的脉冲微分方程解的存在性和多重性 姚旺进应用数学福建省高校重点实验室, 莆田学院数学与金融学院, 莆田 351100 Existence and Multiplicity of Solutions for a Class of Impulsive Differential Equations with p-Laplacian Operator YAO WangjinKey Laboratory of Applied Mathematics of Fujian Province University, School of Mathematics and Finance, Putian University, Putian 351100, China
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摘要本文研究一类含有p-Laplacian算子的二阶脉冲微分方程边值问题解的存在性和多重性.当脉冲函数满足超线性增长条件时,我们通过变分法证明该问题至少存在一个古典解和无穷多个古典解.
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收稿日期: 2018-11-19
PACS:O175.14
基金资助:福建省高校创新团队培育计划(2018-39)资助.

引用本文:
姚旺进. 一类含有p-Laplacian算子的脉冲微分方程解的存在性和多重性[J]. 应用数学学报, 2021, 44(4): 532-541. YAO Wangjin. Existence and Multiplicity of Solutions for a Class of Impulsive Differential Equations with p-Laplacian Operator. Acta Mathematicae Applicatae Sinica, 2021, 44(4): 532-541.
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