A characteristic equation for non-autonomous partial functional differential equations

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:181

Article

Gühring, G ; Räbiger, F ; Schnaubelt, R

关键词: partial functional differential equation;    non-autonomous evolution equation;    characteristic equation;    spectrum;    exponential stability and dichotomy;    robustness;    almost periodic solutions;    positivity;    evolution semigroup;    Hille-Yosida operator;   

DOI  :  10.1006/jdeq.2001.4083

来源: Elsevier

【 摘 要 】

We characterize the exponential dichotomy of non-autonomous partial functional differential equations by means of a spectral condition extending known characteristic equations for the autonomous or time-periodic case. From this we deduce robustness results. We further study the almost periodicity of solutions to the inhomogeneous equation. Our approach is based on the spectral theory of evolution semigroups. (C) 2002 Elsevier Science (USA).

【 授权许可】

Free