A Criterion for the Existence of the Unique Periodic Solution of One-Dimensional Periodic Differential Equation

A Criterion for the Existence of the Unique Periodic Solution of One-Dimensional Periodic Differential Equation

In this paper, we discuss one-dimensional differential equation with ω-period. By using the fixed point theory, the existence of a periodic solution is obtained; by using the second Lyapunov method, the uniqueness and stability of the periodic solution are obtained.

Bibliographic Details
Main Author: Ni  Hua
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/5578527
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spelling doaj-d10957e9a63b4cad90a4a9dcde6c8e3f2021-05-03T00:01:42ZengHindawi LimitedJournal of Mathematics2314-47852021-01-01202110.1155/2021/5578527A Criterion for the Existence of the Unique Periodic Solution of One-Dimensional Periodic Differential EquationNi  Hua0School of Mathematical SciencesIn this paper, we discuss one-dimensional differential equation with ω-period. By using the fixed point theory, the existence of a periodic solution is obtained; by using the second Lyapunov method, the uniqueness and stability of the periodic solution are obtained.http://dx.doi.org/10.1155/2021/5578527
collection DOAJ
language English
format Article
sources DOAJ
author Ni  Hua
spellingShingle Ni  Hua
A Criterion for the Existence of the Unique Periodic Solution of One-Dimensional Periodic Differential Equation
Journal of Mathematics
author_facet Ni  Hua
author_sort Ni  Hua
title A Criterion for the Existence of the Unique Periodic Solution of One-Dimensional Periodic Differential Equation
title_short A Criterion for the Existence of the Unique Periodic Solution of One-Dimensional Periodic Differential Equation
title_full A Criterion for the Existence of the Unique Periodic Solution of One-Dimensional Periodic Differential Equation
title_fullStr A Criterion for the Existence of the Unique Periodic Solution of One-Dimensional Periodic Differential Equation
title_full_unstemmed A Criterion for the Existence of the Unique Periodic Solution of One-Dimensional Periodic Differential Equation
title_sort criterion for the existence of the unique periodic solution of one-dimensional periodic differential equation
publisher Hindawi Limited
series Journal of Mathematics
issn 2314-4785
publishDate 2021-01-01
description In this paper, we discuss one-dimensional differential equation with ω-period. By using the fixed point theory, the existence of a periodic solution is obtained; by using the second Lyapunov method, the uniqueness and stability of the periodic solution are obtained.
url http://dx.doi.org/10.1155/2021/5578527
work_keys_str_mv AT nihua acriterionfortheexistenceoftheuniqueperiodicsolutionofonedimensionalperiodicdifferentialequation
AT nihua criterionfortheexistenceoftheuniqueperiodicsolutionofonedimensionalperiodicdifferentialequation
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