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
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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