journal6 ›› 2008, Vol. 29 ›› Issue (2): 20-24.

• Mathematics • Previous Articles     Next Articles

Oscillation and Non-Oscillation Criteria for Second Order Haf-LinearImpulsive Differential Equations


  1. (1.School of Mathematics and Computing Science,Hunan University of Science and Technology,Xiangtan 411201,Hunan China;2.College of Mathematics and Information Sciences,Guangxi University,Nanning 530004,Guangxi China)
  • Online:2008-03-25 Published:2012-05-25

Abstract: The second order half-linear impulsive equation (|u′(t)|q-1u′)′=-p(t)|u(t)|q-1u(t) is studied and  new oscillation and nonoscillation theorems are obtained,where q>0 is a constant and p(t) is an impulsive function defined by p(t)=∞n=1anδ(t-tn).

Key words: oscillation, nonoscillation, half-linear impulsive differential eautions

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