On the oscillation and nonoscillation of the solutions of impulsive differential equations of second order with retarded argument

On the oscillation and nonoscillation of the solutions of impulsive differential equations of second order with retarded argument

Sufficient conditions are found for oscillation of the bounded solutions of a class of impulsive differential equations of second order with retarded argument and fixed moments of impulse effect. Some asymptotic properties of the nonoscillating solutions of such equations are investigated.

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Veröffentlicht in:Forum mathematicum 2013-01, Vol.25 (1), p.107
Hauptverfasser: Dimitrova, Margarita B., Donev, Vanyo I.
Format: Artikel
Sprache:eng
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Zusammenfassung:Sufficient conditions are found for oscillation of the bounded solutions of a class of impulsive differential equations of second order with retarded argument and fixed moments of impulse effect. Some asymptotic properties of the nonoscillating solutions of such equations are investigated.
ISSN:0933-7741
1435-5337
DOI:10.1515/form.2011.107