Pseudo-Almost Automorphic Solutions to Some Second-Order Differential Equations

In this paper we study and obtain the existence of pseudo-almost automorphic solutions to some classes of second-order abstract differential equations on a Hilbert space. To illustrate our abstract results, we discuss the existence of pseudo almost automorphic solutions to the N-dimensional Sine-Gor...

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Autores principales:	Diagana,Toka, Mohamed,Ahmed
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2011
Materias:	exponential stability sectorial operator hyperbolic semigroup almost automorphic pseudo-almost automorphic autonomous second-order differential equation Sine-Gordon equation amenability Banach modules module amenability weak module amenability semigroup algebra inverse semigroup
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462011000300007
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spelling	oai:scielo:S0719-064620110003000072018-10-08Pseudo-Almost Automorphic Solutions to Some Second-Order Differential EquationsDiagana,TokaMohamed,Ahmed exponential stability sectorial operator hyperbolic semigroup almost automorphic pseudo-almost automorphic autonomous second-order differential equation Sine-Gordon equation amenability Banach modules module amenability weak module amenability semigroup algebra inverse semigroup In this paper we study and obtain the existence of pseudo-almost automorphic solutions to some classes of second-order abstract differential equations on a Hilbert space. To illustrate our abstract results, we discuss the existence of pseudo almost automorphic solutions to the N-dimensional Sine-Gordon boundary value problem.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.13 n.3 20112011-10-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462011000300007en10.4067/S0719-06462011000300007
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	exponential stability sectorial operator hyperbolic semigroup almost automorphic pseudo-almost automorphic autonomous second-order differential equation Sine-Gordon equation amenability Banach modules module amenability weak module amenability semigroup algebra inverse semigroup
spellingShingle	exponential stability sectorial operator hyperbolic semigroup almost automorphic pseudo-almost automorphic autonomous second-order differential equation Sine-Gordon equation amenability Banach modules module amenability weak module amenability semigroup algebra inverse semigroup Diagana,Toka Mohamed,Ahmed Pseudo-Almost Automorphic Solutions to Some Second-Order Differential Equations
description	In this paper we study and obtain the existence of pseudo-almost automorphic solutions to some classes of second-order abstract differential equations on a Hilbert space. To illustrate our abstract results, we discuss the existence of pseudo almost automorphic solutions to the N-dimensional Sine-Gordon boundary value problem.
author	Diagana,Toka Mohamed,Ahmed
author_facet	Diagana,Toka Mohamed,Ahmed
author_sort	Diagana,Toka
title	Pseudo-Almost Automorphic Solutions to Some Second-Order Differential Equations
title_short	Pseudo-Almost Automorphic Solutions to Some Second-Order Differential Equations
title_full	Pseudo-Almost Automorphic Solutions to Some Second-Order Differential Equations
title_fullStr	Pseudo-Almost Automorphic Solutions to Some Second-Order Differential Equations
title_full_unstemmed	Pseudo-Almost Automorphic Solutions to Some Second-Order Differential Equations
title_sort	pseudo-almost automorphic solutions to some second-order differential equations
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2011
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462011000300007
work_keys_str_mv	AT diaganatoka pseudoalmostautomorphicsolutionstosomesecondorderdifferentialequations AT mohamedahmed pseudoalmostautomorphicsolutionstosomesecondorderdifferentialequations
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Pseudo-Almost Automorphic Solutions to Some Second-Order Differential Equations

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