Periodic Solutions of Periodic Retarded Functional Differential Equations
Marcin Pawłowski
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004), p. 353-363 / Harvested from The Polish Digital Mathematics Library
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The paper presents a geometric method of finding periodic solutions of retarded functional differential equations (RFDE) x'(t)=f(t,xt), where f is T-periodic in t. We construct a pair of subsets of ℝ × ℝⁿ called a T-periodic block and compute its Lefschetz number. If it is nonzero, then there exists a T-periodic solution.

Publié le : 2004-01-01
EUDML-ID : urn:eudml:doc:280812 
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     title = {Periodic Solutions of Periodic Retarded Functional Differential Equations},
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     year = {2004},
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     language = {en},
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Marcin Pawłowski. Periodic Solutions of Periodic Retarded Functional Differential Equations. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004) pp. 353-363. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-4-2/