Stability, boundedness and existence of unique periodic solutions to a class of fourth order functional differential equations

Abstract In this paper a novel class of fourth order functional differential equations is discussed. By reducing the fourth order functional differential equation to system of first order, a suitable complete Lyapunov functional is constructed and employed to obtain sufficient conditions that guaran...

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Autor principal:	Timothy Ademola,Adeleke
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2021
Materias:	Fourth order Non linear functional differential equation Uniform stability Uniform ultimate boundedness Periodic solutions
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000200271
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spelling	oai:scielo:S0716-091720210002002712021-04-03Stability, boundedness and existence of unique periodic solutions to a class of fourth order functional differential equationsTimothy Ademola,Adeleke Fourth order Non linear functional differential equation Uniform stability Uniform ultimate boundedness Periodic solutions Abstract In this paper a novel class of fourth order functional differential equations is discussed. By reducing the fourth order functional differential equation to system of first order, a suitable complete Lyapunov functional is constructed and employed to obtain sufficient conditions that guarantee existence of a unique periodic solution, asymptotic and uniform asymptotic stability of the zero solutions, uniform boundedness and uniform ultimate boundedness of solutions. The obtained results are new and include many prominent results in literature. Finally, two examples are given to show the feasibility and reliability of the theoretical results.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.40 n.2 20212021-04-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000200271en10.22199/issn.0717-6279-2021-02-0017
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Fourth order Non linear functional differential equation Uniform stability Uniform ultimate boundedness Periodic solutions
spellingShingle	Fourth order Non linear functional differential equation Uniform stability Uniform ultimate boundedness Periodic solutions Timothy Ademola,Adeleke Stability, boundedness and existence of unique periodic solutions to a class of fourth order functional differential equations
description	Abstract In this paper a novel class of fourth order functional differential equations is discussed. By reducing the fourth order functional differential equation to system of first order, a suitable complete Lyapunov functional is constructed and employed to obtain sufficient conditions that guarantee existence of a unique periodic solution, asymptotic and uniform asymptotic stability of the zero solutions, uniform boundedness and uniform ultimate boundedness of solutions. The obtained results are new and include many prominent results in literature. Finally, two examples are given to show the feasibility and reliability of the theoretical results.
author	Timothy Ademola,Adeleke
author_facet	Timothy Ademola,Adeleke
author_sort	Timothy Ademola,Adeleke
title	Stability, boundedness and existence of unique periodic solutions to a class of fourth order functional differential equations
title_short	Stability, boundedness and existence of unique periodic solutions to a class of fourth order functional differential equations
title_full	Stability, boundedness and existence of unique periodic solutions to a class of fourth order functional differential equations
title_fullStr	Stability, boundedness and existence of unique periodic solutions to a class of fourth order functional differential equations
title_full_unstemmed	Stability, boundedness and existence of unique periodic solutions to a class of fourth order functional differential equations
title_sort	stability, boundedness and existence of unique periodic solutions to a class of fourth order functional differential equations
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2021
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000200271
work_keys_str_mv	AT timothyademolaadeleke stabilityboundednessandexistenceofuniqueperiodicsolutionstoaclassoffourthorderfunctionaldifferentialequations
_version_	1718439895458906112

Stability, boundedness and existence of unique periodic solutions to a class of fourth order functional differential equations

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