Almost periodic solutions of neutral impulsive systems with periodic time-dependent perturbed delays

Autor:	Valéry Covachev, Zlatinka Covacheva, Haydar Akça, Eada Ahmed Al-Zahrani
Rok vydání:	2003
Předmět:	Period (periodic table) General Mathematics Mathematical analysis Neighbourhood (graph theory) almost periodic solution Derivative Small amplitude 34a37 Number theory Periodic perturbation 34k10 QA1-939 Orbit (dynamics) neutral impulsive system Constant (mathematics) Mathematics
Zdroj:	Open Mathematics, Vol 1, Iss 3, Pp 292-314 (2003)
ISSN:	1644-3616 1895-1074
DOI:	10.2478/bf02475211
Popis:	A neutral impulsive system with a small delay of the argument of the derivative and another delay which differs from a constant by a periodic perturbation of a small amplitude is considered. If the corresponding system with constant delay has an isolated ω-periodic solution and the period of the delay is not rationally dependent on ω, then under a nondegeneracy assumption it is proved that in any sufficiently small neighbourhood of this orbit the perturbed system has a unique almost periodic solution.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d9088c998ba436dda36f912d6a18c644 https://doi.org/10.2478/bf02475211 Zobrazit plný text záznamu Full text from SpringerLink