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

Valéry Covachev; Zlatinka Covacheva; Haydar Akça; Eada Al-Zahrani

Open Mathematics (2003)

- Volume: 1, Issue: 3, page 292-314
- ISSN: 2391-5455

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topValéry Covachev, et al. "Almost periodic solutions of neutral impulsive systems with periodic time-dependent perturbed delays." Open Mathematics 1.3 (2003): 292-314. <http://eudml.org/doc/268878>.

@article{ValéryCovachev2003,

abstract = {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.},

author = {Valéry Covachev, Zlatinka Covacheva, Haydar Akça, Eada Al-Zahrani},

journal = {Open Mathematics},

keywords = {34A37; 34K10},

language = {eng},

number = {3},

pages = {292-314},

title = {Almost periodic solutions of neutral impulsive systems with periodic time-dependent perturbed delays},

url = {http://eudml.org/doc/268878},

volume = {1},

year = {2003},

}

TY - JOUR

AU - Valéry Covachev

AU - Zlatinka Covacheva

AU - Haydar Akça

AU - Eada Al-Zahrani

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

JO - Open Mathematics

PY - 2003

VL - 1

IS - 3

SP - 292

EP - 314

AB - 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.

LA - eng

KW - 34A37; 34K10

UR - http://eudml.org/doc/268878

ER -

## References

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