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Oscillation of impulsive delay differential equations and applications to population dynamics

  • Jurang Yan (a1), Aimin Zhao (a1) and Linping Peng (a2)

Abstract

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.

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References

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Oscillation of impulsive delay differential equations and applications to population dynamics

  • Jurang Yan (a1), Aimin Zhao (a1) and Linping Peng (a2)

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