Periodic solutions of periodic retarded functional differential equations

• Autorzy: Pawłowski M.
• Języki publikacji: EN

Abstrakty

EN

The paper presents a geometric method of finding periodic solutions of retarded functional differential equations (REDE) x'(t) = f(t,x1), where f is T-periodic in t. We construct a pair of subsets of R x R^n called a T-periodic block and compute its Lefschetz number. If it is nonzero, then there exists a T-periodic solution.

Słowa kluczowe

EN

delay differential equations; periodic orbits; Lefschetz number; ANR

PL

orbita okresowa; liczba Lipschitza

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2004
• Tom: Vol. 52, nr 4
• Strony: 353--363
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Pawłowski M.

• Institute of Mathematics Jagiellonian University Reymonta 4 30-059 Kraków, Poland,

Bibliografia

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