Analysis shows reduced constraints in oscillation criteria for nonlinear functional differential equations, suggesting broader applicability.
In this paper, we initiate the study of the asymptotic and oscillatory properties of solutions to third-order functional differential equations. Using the Riccati transformation to eliminate the existence of non-oscillatory solutions, we derive various oscillation criteria that address different models of the studied equation. Our primary focus is on reducing the constraints imposed on oscillation criteria, thereby broadening their applicability. Our results improve, refine, and extend some of the known findings in previous studies. Several examples are presented to illustrate the significance of the main results.
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Al-Jaser et al. (2025) studied this question.
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