Oscillation of impulsive delay differential equations and applications to population dynamics

• Autores: L. Peng, A. Zhao, J. Yan
• Localización: Anziam journal: The Australian & New Zealand industrial and applied mahtematics journal, ISSN 1446-1811, Vol. 46, Nº 4, 2005, págs. 545-554
• Idioma: inglés
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• Resumen

  • The main result of this paper is that the oscillation and nonoscillation properties of a nonlinear impulsive delay differential equation are equivalent respectively to the oscillation and nonoscillation of a corresponding nonlinear delay differential equation without impulse effects. An explicit necessary and sufficient condition for the oscillation of a nonlinear impulsive delay differential equation is obtained.