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On the asymptotic stability of solutions of Volterra integro-differential equations

✍ Scribed by Andrew T Plant

Publisher: Elsevier Science
Year: 1981
Tongue: English
Weight: 523 KB
Volume: 39
Category: Article
ISSN: 0022-0396
DOI: 10.1016/0022-0396(81)90082-6

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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