Generalized Bohl-Perron principle for differential equations with delay in a Banach spaces

Electronic Journal of Differential Equations

卷:2013

关键词: Banach space;    differential equation with delay;    linear equation;    exponential stability;   

DOI  :  

来源: DOAJ

【 摘 要 】

We consider a linear homogeneous functional differential equationwith delay in a Banach space. It is proved that if the correspondingnon-homogeneous equation, with an arbitrary free term bounded onthe positive half-line and with the zero initial condition,has a bounded solution, then the considered homogeneous equationis exponentially stable.

【 授权许可】

Unknown