Oscillation and nonoscillation criteria for half-linear second order di¤erential equations

نویسندگان

  • Ondřej Došlý
  • Alexander Lomtatidze
چکیده

We investigate oscillatory properties of the second order half-linear differential equation ðrðtÞFðy 0ÞÞ 0 þ cðtÞFðyÞ 1⁄4 0; FðsÞ :1⁄4 jsj s; p > 1; ð*Þ viewed as a perturbation of a nonoscillatory equation of the same form ðrðtÞFðy 0ÞÞ 0 þ ~ cðtÞFðyÞ 1⁄4 0: Conditions on the di¤erence cðtÞ ~ cðtÞ are given which guarantee that equation ð*Þ becomes oscillatory (remains nonoscillatory).

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تاریخ انتشار 2006