The existence of solutions for perturbed fractional differential equations with impulses via Morse theory

被引：1

作者：

Li, Peiluan ^{[1
]}

Xu, Liang ^{[1
]}

Wang, Hui ^{[2
]}

Wang, Yumeng ^{[3
]}

机构：

[1] Henan Univ Sci & Technol, Sch Math & Stat, Luoyang, Peoples R China

[2] Henan Univ Sci & Technol, Coll Informat Engn, Luoyang, Peoples R China

[3] Stat Bur Shihe Dist, Xinyang, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2020年 / 2020卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Morse theory; Perturbed fractional differential equations; Impulses; Nontrivial solutions; BOUNDARY-VALUE-PROBLEMS; NONTRIVIAL SOLUTIONS;

D O I：

10.1186/s13661-020-01330-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, the existence of nontrivial solutions of impulsive fractional differential equations with Dirichlet boundary conditions is studied. We apply Morse theory coupled with local linking arguments to solve the topic, and we prove the existence of at least one nontrivial solution for the impulsive fractional differential equations.

引用

页数：13

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