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

Date

2012-03-01

Author

ÖZBEKLER, ABDULLAH
Zafer, Ağacık

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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.

Subject Keywords

Oscillation, Impulse, Half-linear, Periodic

URI

https://hdl.handle.net/11511/57865

Journal

APPLIED MATHEMATICS LETTERS

DOI

https://doi.org/10.1016/j.aml.2011.09.001

Collections

Department of Mathematics, Article