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September/October 2017 Well-posedness and flow invariance for semilinear functional differential equations governed by non-densely defined operators
Hiroki Sano, Naoki Tanaka
Differential Integral Equations 30(9/10): 695-734 (September/October 2017).

Abstract

The well-posedness and the flow invariance are studied for a semilinear functional differential equation governed by a family of non-densely defined operators in a general Banach space. The notion of mild solutions is introduced through a new type of variation of constants formula and the well-posedness is established under a semilinear stability condition with respect to a metric-like functional and a subtangential condition. The abstract result is applied to a size-structured model with birth delay.

Citation

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Hiroki Sano. Naoki Tanaka. "Well-posedness and flow invariance for semilinear functional differential equations governed by non-densely defined operators." Differential Integral Equations 30 (9/10) 695 - 734, September/October 2017.

Information

Published: September/October 2017
First available in Project Euclid: 27 May 2017

zbMATH: 06770139
MathSciNet: MR3656484

Subjects:
Primary: 34G20, 34K30, 47J35

Rights: Copyright © 2017 Khayyam Publishing, Inc.

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Vol.30 • No. 9/10 • September/October 2017
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