Periodic Solutions of Periodic Retarded Functional Differential Equations

• Autorzy: Marcin Pawłowski
• Języki publikacji: EN

Abstrakty

EN

The paper presents a geometric method of finding periodic solutions of retarded functional differential equations (RFDE) $x'(t) = f(t,x_{t})$, 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.

Kategorie tematyczne

• 34K13: Periodic solutions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2004
• Tom: 52
• Numer: 4
• Strony: 353-363

Daty

wydano

2004

Twórcy

autor

Marcin Pawłowski

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

Identyfikatory

DOI

10.4064/ba52-4-2