• Corpus ID: 119686823

Notes on solution maps of abstract FDEs

@article{Zhao2017NotesOS,
title={Notes on solution maps of abstract FDEs},
author={Xiaopeng Zhao},
journal={arXiv: Analysis of PDEs},
year={2017}
}
• Xiaopeng Zhao
• Published 3 January 2017
• Mathematics
• arXiv: Analysis of PDEs
It is shown that the solution maps of an abstract functional differential equations (FDEs) are $\alpha$-contractions in the phase space equipped with an equivalent norm under appropriate assumptions. This result can be applied to time-delayed reaction-diffusion equations and other evolution systems with time delay.

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