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Properties of third-order nonlinear delay dynamic equations with positive and negative coefficients

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We study asymptotic properties of a class of third-order nonlinear delay dynamic equations with positive and negative coefficients on time scales. In this paper, we establish new results on asymptotic… Click to show full abstract

We study asymptotic properties of a class of third-order nonlinear delay dynamic equations with positive and negative coefficients on time scales. In this paper, we establish new results on asymptotic behavior of nonoscillatory and oscillatory solutions for the corresponding equations by making a comparison with suitable first-order dynamic equations. Finally, we offer an example to illustrate the feasibility of our results.

Keywords: delay dynamic; dynamic equations; order; nonlinear delay; third order; order nonlinear

Journal Title: Advances in Difference Equations
Year Published: 2019

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