Periodic Solutions of Periodic Retarded Functional Differential Equations

Marcin Pawłowski. "Periodic Solutions of Periodic Retarded Functional Differential Equations." Bulletin of the Polish Academy of Sciences. Mathematics 52.4 (2004): 353-363. <http://eudml.org/doc/280812>.

@article{MarcinPawłowski2004,
abstract = {The paper presents a geometric method of finding periodic solutions of retarded functional differential equations (RFDE) $x^\{\prime \}(t) = f(t,x_\{t\})$, 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.},
author = {Marcin Pawłowski},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {delay differential equations; periodic orbits; Lefschetz number; ANR},
language = {eng},
number = {4},
pages = {353-363},
title = {Periodic Solutions of Periodic Retarded Functional Differential Equations},
url = {http://eudml.org/doc/280812},
volume = {52},
year = {2004},
}

TY - JOUR
AU - Marcin Pawłowski
TI - Periodic Solutions of Periodic Retarded Functional Differential Equations
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2004
VL - 52
IS - 4
SP - 353
EP - 363
AB - The paper presents a geometric method of finding periodic solutions of retarded functional differential equations (RFDE) $x^{\prime }(t) = f(t,x_{t})$, 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.
LA - eng
KW - delay differential equations; periodic orbits; Lefschetz number; ANR
UR - http://eudml.org/doc/280812
ER -