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Nonoscillation and oscillation of second-order impulsive differential equations with periodic coefficients

2012-03-01
ÖZBEKLER, ABDULLAH
Zafer, Ağacık
In this paper, we give a nonoscillation criterion for half-linear equations with periodic coefficients under fixed moments of impulse actions. The method is based on the existence of positive solutions of the related Riccati equation and a recently obtained comparison principle. In the special case when the equation becomes impulsive Hill equation new oscillation criteria are also obtained.