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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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This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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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