Lagrange stability for a class of impulsive Duffing equation with low regularity

We discuss the Lagrange stability for a class of impulsive Duffing equation with time-dependent polynomial potentials. More precisely, we prove that under suitable impulses, all the solutions of the impulsive Duffing equation (with low regularity in time) are bounded for all time and that there are...

Full description

Saved in:
Bibliographic Details
Published inElectronic journal of qualitative theory of differential equations Vol. 2024; no. 9; pp. 1 - 22
Main Authors He, Xiaolong, Sun, Yueqin, Shen, Jianhua
Format Journal Article
LanguageEnglish
Published University of Szeged 2024
Subjects
boundedness
impulsive duffing equation
moser's twist theorem
quasi-periodic solution
Online AccessGet full text

Cover

More Information
Summary:We discuss the Lagrange stability for a class of impulsive Duffing equation with time-dependent polynomial potentials. More precisely, we prove that under suitable impulses, all the solutions of the impulsive Duffing equation (with low regularity in time) are bounded for all time and that there are many (positive Lebesgue measure) quasi-periodic solutions clustering at infinity.
ISSN:1417-3875
1417-3875
DOI:10.14232/ejqtde.2024.1.9