Periodic Solutions of Generalized Lagrangian Systems with Small Perturbations

IF 1.9 3区数学 Q1 MATHEMATICS

Qualitative Theory of Dynamical Systems Pub Date : 2024-04-30 DOI:10.1007/s12346-024-01033-9

Joanna Janczewska

引用次数: 0

Abstract

In this paper we study the generalized Lagrangian system with a small perturbation. We assume the main term in the system to have a maximum, but do not suppose any condition for perturbation term. Then we prove the existence of a periodic solution via Ekeland’s principle. Moreover, we prove a convergence theorem for periodic solutions of perturbed systems.

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具有小扰动的广义拉格朗日系统的周期解

本文研究具有微小扰动的广义拉格朗日系统。我们假定系统中的主项有一个最大值，但不假定扰动项有任何条件。然后，我们通过埃克兰德原理证明了周期解的存在。此外，我们还证明了扰动系统周期解的收敛定理。

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

Qualitative Theory of Dynamical Systems MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.50

自引率

14.30%

发文量

130

期刊介绍： Qualitative Theory of Dynamical Systems (QTDS) publishes high-quality peer-reviewed research articles on the theory and applications of discrete and continuous dynamical systems. The journal addresses mathematicians as well as engineers, physicists, and other scientists who use dynamical systems as valuable research tools. The journal is not interested in numerical results, except if these illustrate theoretical results previously proved.