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

100%

Covachev V., Covacheva Z., Akça H., Al-Zahrani E.

Open Mathematics

2003

tom 1

nr 3

292-314

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.

On the existence of solutions for nonlinear impulsive periodic viable problems

75%

Cardinali T., Servadei R.

Open Mathematics

2004

tom 2

nr 4

573-583

In this paper we prove the existence of periodic solutions for nonlinear impulsive viable problems monitored by differential inclusions of the type x′(t)∈F(t,x(t))+G(t,x(t)). Our existence theorems extend, in a broad sense, some propositions proved in [10] and improve a result due to Hristova-Bainov in [13].

Ograniczanie wyników

2 Open Mathematics

1 Akça H.

1 Al-Zahrani E.

1 Cardinali T.

1 Covachev V.

1 Covacheva Z.

1 Servadei R.

1 2004

1 2003

Wyniki wyszukiwania

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

On the existence of solutions for nonlinear impulsive periodic viable problems