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

Cubo

关键词: 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;   

DOI  :  

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown