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Criteria for oscillation of noncanonical superlinear half-linear dynamic equations

  • Taher S. Hassan,
  • Clemente Cesarano,
  • Mouataz Billah Mesmouli,
  • Y. A. Madani,
  • Amir Abdel Menaem,
  • Ayékotan M. J. Tchalla,
  • Belal A. Glalah

摘要

This article comes up with criteria to make sure that the solutions to superlinear, half-linear, and noncanonical dynamic equations oscillate in both advanced and delayed cases; these criteria are comparable to the Hille-type and Ohriska-type criteria for the canonical nonlinear dynamic equations; and also these results solve an open problem in many existing works in the literature on dynamic equations. To demonstrate the importance of the results, some examples have been introduced.