Oscillation of Higher-Order Dynamic Equations with Advanced Arguments in Non-Canonical Form

Ahmed Mohamed Hassan; Shimaa Salem

doi:10.65463/jprm.2026469.

Authors

Ahmed M. Hassan Department of Mathematics, Faculty of Science, Benha University, Benha-Kalubia 13518, Egypt
Shimaa Salem Department of Mathematics and Computer Science, Faculty of Science, Menoufia University,Shebin El-Kom, Egypt.

DOI:

https://doi.org/10.65463/jprm.2026469.

Keywords:

Higher-order; Nonlinear dynamic equations; Oscillation; Non-Canonical ; Riccati transformation.

Abstract

In this paper, we examine the oscillatory behavior of solutions to nth-order neutral dynamic equations with advanced arguments in the non-canonical form. Unlike previous studies, we introduce new criteria to ensure the oscillation of the considered equation. The results presented here generalize and enhance several existing findings, applicable to arbitrary time scales. To demonstrate the applicability and effectiveness of our results, an illustrative example is provided.

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