Multiple periodic solutions of nonlinear second order differential equations

Multiple periodic solutions of nonlinear second order differential equations

In this paper, we are interested in the existence of multiple nontrivial $ T $-periodic solutions of the nonlinear second ordinary differential equation $ \ddot{x}+V_x(t, x) = 0 $ in $ N(\geq 1) $ dimensions. Using homological linking and morse theory, we get at least two critical points of the func...

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Bibliographic Details
Main Authors: Keqiang Li, Shangjiu Wang
Format: Article
Language:English
Published: AIMS Press 2023-03-01
Series:AIMS Mathematics
Subjects:
multiple periodic solutions
morse theory
homological linking
critical groups
nontrivial periodic solutions
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023570?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2023570?viewType=HTML

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