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Integro-differential non-linear equations and continual Lie algebras

✍ Scribed by M. V. Saveliev

Publisher: Springer
Year: 1989
Tongue: English
Weight: 563 KB
Volume: 121
Category: Article
ISSN: 0010-3616
DOI: 10.1007/bf01217807

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## Abstract Using a degree‐theoretic result of Granas, a homotopy is constructed enabling us to show that if there is an __a priori__ bound on all possible __T__‐periodic solutions of a Volterra equation, then there is a __T__‐periodic solution. The __a priori__ bound is established by means of a L