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Asymptotic Solutions of Systems of Linear Degenerate Integro-Differential Equations

✍ Scribed by G. V. Zavizion

Book ID: 111614150
Publisher: Springer
Year: 2003
Tongue: English
Weight: 150 KB
Volume: 55
Category: Article
ISSN: 0041-5995
DOI: 10.1023/b:ukma.0000010154.74752.80

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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