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Semigroups of translations associated with functional and functional differential equations

Published online by Cambridge University Press:  14 November 2011

Janet Dyson  and
Rosanna Villella-Bressan
Janet Dyson
Affiliation:
Mathematical Institute, Oxford
Rosanna Villella-Bressan
Affiliation:
Istituto di Matematica, Università di Padova and Mathematical Institute, Oxford
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Extract

Functional and functional differential equations in a Banach space X are related to systems of operators A(t) in C = C(−r, 0; X), given by

Conditions are sought on F such that A(t) generates an evolution system U(t, s)φThis system gives the segments of solution for φ in a certain domain which is determined.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 82 , Issue 3-4 , 1979 , pp. 171 - 188
Copyright
Copyright © Royal Society of Edinburgh 1979

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