Sufficient conditions for the boundedness and square integrability of Solutions of fourth-order differential equations

Sufficient conditions for the boundedness and square integrability of solutions and their derivatives of certain fourth order nonlin-ear differential equation are given by means of the Lyapunov’s second method. Our results obtained in this work, generalize existing results on fourth order...

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Autores principales:	Remili,Moussadek, Rahmane,Mebrouk
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2016
Materias:	Boundedness stability Lyapunov functional fourth-order differential equations square integrable
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172016000100004
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spelling	oai:scielo:S0716-091720160001000042016-06-14Sufficient conditions for the boundedness and square integrability of Solutions of fourth-order differential equationsRemili,MoussadekRahmane,Mebrouk Boundedness stability Lyapunov functional fourth-order differential equations square integrable Sufficient conditions for the boundedness and square integrability of solutions and their derivatives of certain fourth order nonlin-ear differential equation are given by means of the Lyapunov’s second method. Our results obtained in this work, generalize existing results on fourth order nonlinear differential equations in the literature. For illustration, an example is also given.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.35 n.1 20162016-03-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172016000100004en10.4067/S0716-09172016000100004
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Boundedness stability Lyapunov functional fourth-order differential equations square integrable
spellingShingle	Boundedness stability Lyapunov functional fourth-order differential equations square integrable Remili,Moussadek Rahmane,Mebrouk Sufficient conditions for the boundedness and square integrability of Solutions of fourth-order differential equations
description	Sufficient conditions for the boundedness and square integrability of solutions and their derivatives of certain fourth order nonlin-ear differential equation are given by means of the Lyapunov’s second method. Our results obtained in this work, generalize existing results on fourth order nonlinear differential equations in the literature. For illustration, an example is also given.
author	Remili,Moussadek Rahmane,Mebrouk
author_facet	Remili,Moussadek Rahmane,Mebrouk
author_sort	Remili,Moussadek
title	Sufficient conditions for the boundedness and square integrability of Solutions of fourth-order differential equations
title_short	Sufficient conditions for the boundedness and square integrability of Solutions of fourth-order differential equations
title_full	Sufficient conditions for the boundedness and square integrability of Solutions of fourth-order differential equations
title_fullStr	Sufficient conditions for the boundedness and square integrability of Solutions of fourth-order differential equations
title_full_unstemmed	Sufficient conditions for the boundedness and square integrability of Solutions of fourth-order differential equations
title_sort	sufficient conditions for the boundedness and square integrability of solutions of fourth-order differential equations
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2016
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172016000100004
work_keys_str_mv	AT remilimoussadek sufficientconditionsfortheboundednessandsquareintegrabilityofsolutionsoffourthorderdifferentialequations AT rahmanemebrouk sufficientconditionsfortheboundednessandsquareintegrabilityofsolutionsoffourthorderdifferentialequations
_version_	1718439811013935104

Sufficient conditions for the boundedness and square integrability of Solutions of fourth-order differential equations

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