Boundedness of solutions for some impulsive pendulum-type equations

IF 0.5 4区数学 Q4 MATHEMATICS, APPLIED

Dynamical Systems-An International Journal Pub Date : 2022-08-11 DOI:10.1080/14689367.2022.2111295

Lüping Chen

引用次数: 0

Abstract

In the present paper, we study the following impulsive pendulum-type equation where , . Under suitable impulses, by Moser's twist theorem, we prove that any solution of the impulsive pendulum-type equation is bounded, and there are infinitely many quasi-periodic solutions for the impulsive pendulum-type equation.

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一些脉冲摆型方程解的有界性

本文研究了下列脉冲摆型方程，其中，。在合适的脉冲条件下，利用莫泽扭定理证明了脉冲摆型方程的任何解都是有界的，并且证明了脉冲摆型方程的拟周期解有无穷多个。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Dynamical Systems-An International Journal 物理-力学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Dynamical Systems: An International Journal is a world-leading journal acting as a forum for communication across all branches of modern dynamical systems, and especially as a platform to facilitate interaction between theory and applications. This journal publishes high quality research articles in the theory and applications of dynamical systems, especially (but not exclusively) nonlinear systems. Advances in the following topics are addressed by the journal: •Differential equations •Bifurcation theory •Hamiltonian and Lagrangian dynamics •Hyperbolic dynamics •Ergodic theory •Topological and smooth dynamics •Random dynamical systems •Applications in technology, engineering and natural and life sciences