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Periodic value problems of differential systemson infinite-dimensional spaces and applications to differential geometry

✍ Scribed by P.K. Palamides; G.N. Galanis

Publisher: Elsevier Science
Year: 2004
Tongue: English
Weight: 399 KB
Volume: 47
Category: Article
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2003.12.001

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✦ Synopsis

Periodicity questions of differential systems on infinite-dimensional Hilbert spaces are studied via a new methodology which is based on Fan-Knaster-Kuratowski-Mazurkiewiez theorem. We obtain in this way an alternative, to the classical fixed point theory, approach to the study of such type of problems with various applications on issues of mathematical analysis and differential geometry. Two examples of such applications are included.

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