Stability, Boundedness and periodic solutions to certain second order delay differential equations

Abstract: Stability, boundedness and existence of a unique periodic solution to certain second order nonlinear delay differential equations is discussed. By employing Lyapunov's direct (or second) method, a complete Lyapunov functional is constructed and used to establish sufficient conditions,...

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Autores principales:	Ademola,A. T., Arawomo,P. O., Idowu,A. S.
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2017
Materias:	Second order Nonlinear differential equation Uniform stability Uniform ultimate boundedness Existence of a unique periodic solutions
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172017000200257
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spelling	oai:scielo:S0716-091720170002002572017-07-06Stability, Boundedness and periodic solutions to certain second order delay differential equationsAdemola,A. T.Arawomo,P. O.Idowu,A. S. Second order Nonlinear differential equation Uniform stability Uniform ultimate boundedness Existence of a unique periodic solutions Abstract: Stability, boundedness and existence of a unique periodic solution to certain second order nonlinear delay differential equations is discussed. By employing Lyapunov's direct (or second) method, a complete Lyapunov functional is constructed and used to establish sufficient conditions, on the nonlinear terms, that guarantee uniform asymptotic stability, uniform ultimate boundedness and existence of a unique periodic solution. Obtained results complement many outstanding recent results in the literature. Finally, examples are given to show the effectiveness of our method and correctness of our results.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.36 n.2 20172017-06-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172017000200257en10.4067/S0716-09172017000200257
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Second order Nonlinear differential equation Uniform stability Uniform ultimate boundedness Existence of a unique periodic solutions
spellingShingle	Second order Nonlinear differential equation Uniform stability Uniform ultimate boundedness Existence of a unique periodic solutions Ademola,A. T. Arawomo,P. O. Idowu,A. S. Stability, Boundedness and periodic solutions to certain second order delay differential equations
description	Abstract: Stability, boundedness and existence of a unique periodic solution to certain second order nonlinear delay differential equations is discussed. By employing Lyapunov's direct (or second) method, a complete Lyapunov functional is constructed and used to establish sufficient conditions, on the nonlinear terms, that guarantee uniform asymptotic stability, uniform ultimate boundedness and existence of a unique periodic solution. Obtained results complement many outstanding recent results in the literature. Finally, examples are given to show the effectiveness of our method and correctness of our results.
author	Ademola,A. T. Arawomo,P. O. Idowu,A. S.
author_facet	Ademola,A. T. Arawomo,P. O. Idowu,A. S.
author_sort	Ademola,A. T.
title	Stability, Boundedness and periodic solutions to certain second order delay differential equations
title_short	Stability, Boundedness and periodic solutions to certain second order delay differential equations
title_full	Stability, Boundedness and periodic solutions to certain second order delay differential equations
title_fullStr	Stability, Boundedness and periodic solutions to certain second order delay differential equations
title_full_unstemmed	Stability, Boundedness and periodic solutions to certain second order delay differential equations
title_sort	stability, boundedness and periodic solutions to certain second order delay differential equations
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2017
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172017000200257
work_keys_str_mv	AT ademolaat stabilityboundednessandperiodicsolutionstocertainsecondorderdelaydifferentialequations AT arawomopo stabilityboundednessandperiodicsolutionstocertainsecondorderdelaydifferentialequations AT idowuas stabilityboundednessandperiodicsolutionstocertainsecondorderdelaydifferentialequations
_version_	1718439822935195648

Stability, Boundedness and periodic solutions to certain second order delay differential equations

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