%0 Journal Article
%T Pseudo-Almost Automorphic Solutions to Some Second-Order Differential Equations
%A Toka Diagana
%A Ahmed Mohamed
%J Cubo : A Mathematical Journal
%D 2011
%I Universidad de La Frontera and Universidade Federal de Pernambuco
%X 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. En este trabajo se estudia y obtiene la existencia de soluciones casi-seudo automorfas a algunas clases de ecuaciones diferenciales abstractas de segundo orden en un espacio de Hilbert. Para ilustrar nuestros resultados abstractos, se discute la existencia de soluciones casi-seudo automorfas en el problema de contorno N-dimensional de Sine-Gordon.
%K exponential stability
%K sectorial operator
%K hyperbolic semigroup
%K almost automorphic
%K pseudo-almost automorphic
%K autonomous second-order differential equation
%K Sine-Gordon equation
%K amenability
%K Banach modules
%K module amenability
%K weak module amenability
%K semigroup algebra
%K inverse semigroup
%U http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462011000300007