New results for impulsive fractional differential equations through variational methods

被引：3

作者：

Gao, Dongdong ^{[1
,2
]}

Li, Jianli ^{[1
]}

机构：

[1] Hunan Normal Univ, Coll Math & Stat, Changsha 410081, Hunan, Peoples R China

[2] Tongling Univ, Dept Math & Comp Sci, Tongling 244000, Anhui, Peoples R China

来源：

MATHEMATISCHE NACHRICHTEN | 2021年 / 294卷 / 10期

关键词：

critical point theory; impulsive fractional differential equations; infinitely many solutions; variational methods; BOUNDARY-VALUE PROBLEM; EXISTENCE; MULTIPLICITY;

D O I：

10.1002/mana.201800383

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we mainly discuss the existence of solutions for impulsive fractional differential equations. By applying variational methods and critical point theory, some new criteria to guarantee the impulsive fractional impulsive fractional differential equation has infinitely many solutions are established. Moreover, we improve and extend some previous results.

引用

页码：1866 / 1878

页数：13

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