Nonoscillation and oscillation of second-order impulsive differential equations with periodic coefficients |
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Authors: | A Özbekler |
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Institution: | a Department of Mathematics, Atilim University, 06836 Ankara, Turkeyb Department of Mathematics, Middle East Technical University, 06531 Ankara, Turkey |
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Abstract: | 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. |
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Keywords: | Oscillation Impulse Half-Linear Periodic |
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