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Periodic Solutions in a Given Set of Differential Systems

โœ Scribed by Jan Andres; Bohumil Krajc

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
119 KB
Volume
264
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

The existence of a periodic solution in a given set of Caratheodory differential ล›ystems is studied. The proof of the main statement is based on the Wazewski-type ศงpproach jointly with the degree arguments. An illustrating example is supplied, and a comparison with the analogous results of other authors is indicated. แฎŠ 2001

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