A Characteristic Equation for Non{autonomous Partial Functional Differential Equations

@inproceedings{Uhring2000ACE,
  title={A Characteristic Equation for Non\{autonomous Partial Functional Differential Equations},
  author={Gabriele G Uhring and Frank R Abiger},
  year={2000}
}
  • Gabriele G Uhring, Frank R Abiger
  • Published 2000
We characterize the exponential dichotomy of non{autonomous partial functional diierential 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. 

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