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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The evolution operator approach to functional-differential equations with delay


Author: Wolfgang M. Ruess
Journal: Proc. Amer. Math. Soc. 119 (1993), 783-791
MSC: Primary 34K30; Secondary 34G20, 47H15, 47N20
MathSciNet review: 1154248
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Abstract: The nonlinear nonautonomous functional differential equation $ \dot x(t) \in B(t)\,x(t) + F(t,{x_t}),\;t \geqslant s,\,{x_s} = \varphi $, is considered. The representation of the solution to this equation via the associated evolution operator is extended from the single-valued case to the general case of multivalued operators $ B(t)$.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1993-1154248-8
PII: S 0002-9939(1993)1154248-8
Keywords: Functional differential equations with delay, stability, nonlinear accretive operators, nonlinear evolution systems
Article copyright: © Copyright 1993 American Mathematical Society