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.
APPLIED MATHEMATICS LETTERS

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Citation Formats
A. ÖZBEKLER and A. Zafer, “Nonoscillation and oscillation of second-order impulsive differential equations with periodic coefficients,” APPLIED MATHEMATICS LETTERS, pp. 294–300, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/57865.