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Functional Differential Equations with Several Delays: Oscillatory Behavior

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In this work, we study the asymptotic behavior of even-order delay functional differential equation. As an extension of the recent development in the study of oscillation, we obtain improved and… Click to show full abstract

In this work, we study the asymptotic behavior of even-order delay functional differential equation. As an extension of the recent development in the study of oscillation, we obtain improved and simplified criteria that test the oscillation of solutions of the studied equation. We adopt an approach that improves the relationships between the solution with and without delay. The symmetry between the positive and negative solutions also plays a key role in simplifying the presentation of the main results. Finally, we attach an example to illustrate the results and compare them together with the previous results in the literature.

Keywords: equations several; delays oscillatory; several delays; differential equations; functional differential; oscillatory behavior

Journal Title: Symmetry
Year Published: 2022

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