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

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PICONE TYPE FORMULA FOR NON-SELFADJOINT IMPULSIVE DIFFERENTIAL EQUATIONS WITH DISCONTINUOUS SOLUTIONS ÖZBEKLER, ABDULLAH; Zafer, Ağacık (2010-01-01) A Picone type formula for second order linear non-selfadjoint impulsive differential equations with discontinuous solutions having fixed moments of impulse actions is derived. Applying the formula, Leighton and Sturm-Picone type comparison theorems as well as several oscillation criteria for impulsive differential equations are obtained.
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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.