Research article

Oscillation criterion for half-linear sublinear functional noncanonical dynamic equations

  • Received: 25 September 2024 Revised: 12 February 2025 Accepted: 28 February 2025 Published: 07 March 2025
  • In this study, we derive new criteria that ensure the oscillation of solutions to noncanonical dynamic equations that are half-linear sublinear functional. These results not only resolve an open issue in numerous works in the literature but also emulate Ohriskatype and Hille-type criteria for canonical dynamic equations. We provide examples to demonstrate the accuracy, usefulness, and flexibility of the main results.

    Citation: Taher S. Hassan, Amır AbdelMenaem, Mouataz Billah Mesmouli, Wael W. Mohammed, Ismoil Odinaev, Bassant M. El-Matary. Oscillation criterion for half-linear sublinear functional noncanonical dynamic equations[J]. Electronic Research Archive, 2025, 33(3): 1351-1366. doi: 10.3934/era.2025062

    Related Papers:

  • In this study, we derive new criteria that ensure the oscillation of solutions to noncanonical dynamic equations that are half-linear sublinear functional. These results not only resolve an open issue in numerous works in the literature but also emulate Ohriskatype and Hille-type criteria for canonical dynamic equations. We provide examples to demonstrate the accuracy, usefulness, and flexibility of the main results.



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