New Criteria on Oscillatory and Asymptotic Behavior of Third-Order Nonlinear Dynamic Equations with Nonlinear Neutral Terms

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Abstract

In the paper, we provide sufficient conditions for the oscillatory and asymptotic behavior of a new type of third-order nonlinear dynamic equations with mixed nonlinear neutral terms. Our theorems not only improve and extend existing theorems in the literature but also provide a new approach as far as the nonlinear neutral terms are concerned. The main results are illustrated by some particular examples.

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Keywords

Oscillation, Asymptotic Behavior, Nonlinear Neutral Term, Third-Order Dynamic Equations, Asymptotic Analysis, Economics, Science, QC1-999, nonlinear neutral term, Astrophysics, Theory and Applications of Fractional Differential Equations, Quantum mechanics, Article, Engineering, Numerical Methods for Singularly Perturbed Problems, FOS: Mathematics, asymptotic behavior, Biology, Order (exchange), Numerical Analysis, Ecology, Applied Mathematics, Physics, Q, third-order dynamic equations, oscillation, Applied mathematics, QB460-466, Control and Systems Engineering, FOS: Biological sciences, Physical Sciences, Analysis and Control of Distributed Parameter Systems, Nonlinear system, Dynamic equation, Type (biology), Mathematics, Nonlinear Systems, Finance

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01 natural sciences, 0101 mathematics

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3

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23

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2

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227

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CrossRef : 3

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4

checked on May 27, 2026

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