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arXiv · 1701.00730

Notes on solution maps of abstract FDEs

Xiao-Qiang Zhao
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Abstract

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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Xiao-Qiang Zhao. 2017-01-03. Notes on solution maps of abstract FDEs. https://arxiv.org/abs/1701.00730

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