Title of article
A Characteristic Equation for Non-autonomous Partial Functional Differential Equations
Author/Authors
Gabriele Gühring، نويسنده , , Frank R?biger، نويسنده , , Roland Schnaubelt، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2002
Pages
24
From page
439
To page
462
Abstract
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.
Keywords
characteristic equation , non-autonomous evolutionequation , Spectrum , Robustness , exponential stability and dichotomy , Almost periodic solutions , positivity , evolution semigroup , Hille–Yosidaoperator. , partial functional differential equation
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
Serial Year
2002
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
Record number
750234
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