Dongdong Gao, Jianli Li, And Armin Hadjian
New Results for Impulsive Fourth-Order Differential Equations.
Dynamic Systems and Applications 30 (2021) No. 9, 1435-1447

https://doi.org/10.46719/dsa202130.09.03

ABSTRACT.
In this paper, we consider the fourth-order differential equations with impulsive effects. By applying variational methods and critical point theory, some new criteria to guarantee the fourth-order impulsive differential equations have at least two solutions and Infinitely many solutions will be given when the impulsive functions require to satisfy the superlinear growth conditions.
Moreover, we improve and extend some previous results.

AMS (MOS) Subject Classification. 34A15, 34B37, 58E05.
Key Words and Phrases. Impulsive differential equation, Fourth-order, Two solutions, Infinitely many solutions, Variational methods and critical point theory.