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

作者：Ozbekler A; Zafer A^*

来源：Applied Mathematics Letters, 2012, 25(3): 294-300.

DOI：10.1016/j.aml.2011.09.001

• Oscillation
• Impulse
• Half-Linear
• Periodic

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.

• 出版日期2012-3