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Almost periodic solutions of neutral impulsive systems with periodic timedependent perturbed delays
 Valéry Covachev,
 Zlatinka Covacheva,
 Haydar Akça,
 Eada Ahmed AlZahrani
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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 ωperiodic 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.
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 Title
 Almost periodic solutions of neutral impulsive systems with periodic timedependent perturbed delays
 Journal

Central European Journal of Mathematics
Volume 1, Issue 3 , pp 292314
 Cover Date
 20030901
 DOI
 10.2478/BF02475211
 Print ISSN
 18951074
 Online ISSN
 16443616
 Publisher
 Central European Science Journals
 Additional Links
 Topics
 Keywords

 neutral impulsive system
 almost periodic solution
 34A37
 34K10
 Authors

 Valéry Covachev ^{(1)}
 Zlatinka Covacheva ^{(2)}
 Haydar Akça ^{(3)}
 Eada Ahmed AlZahrani ^{(4)}
 Author Affiliations

 1. Institute of Mathematics, Bulgarian Academy of Sciences, Sofia, Bulgaria
 2. Higher College of Telecommunications and Post, Sofia, Bulgaria
 3. Department of Mathematics, King Fahd University of Petroleum and Minerals, 31261, Dhahran, Saudi Arabia
 4. Department of Mathematics, Sciences College for Girls, Dammam, Saudi Arabia