Work

On Asymptotic and Oscillatory Behavior of Third-Order Delay Dynamic Equations

Year: 2026

Type: article

Abstract: We establish conditions ensuring the oscillatory and asymptotic behavior of solutions to a linear third-order delay dynamic equation on time scales. Our approach combines Fubini-type result for triple integrals on time scales with an iterative construction of auxiliary functions. In addition, we derive two-sided bounds for Kneser-type solutions. The results extend the existing oscillation theory for dynamic equations and are new even in the continuous case. The effectiveness of our main results is illustrated by an application to a generalized Euler-type equation on time scales.

Source: Mediterranean Journal of Mathematics

DOI: 10.1007/s00009-026-03121-3

Authors: G. N. Chhatria, S. R. Grace, I. Jadlovská

Institutions: Vignan's Foundation for Science, Technology & Research, Cairo University, Slovak Academy of Sciences, Mathematical Institute of the Slovak Academy of Sciences

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funder: Agentúra na Podporu Výskumu a Vývoja