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

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 co...

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Bibliographic Details
Published in:Advances in difference equations 2019-07, Vol.2019 (1), p.1-16, Article 292
Main Authors: Huang, Xianyong, Deng, Xun-Huan
Format: Article
Language:English
Subjects:
Analysis
Asymptotic behavior
Asymptotic properties
Comparison method
Delay
Difference and Functional Equations
Economic models
Functional Analysis
Mathematical analysis
Mathematics
Mathematics and Statistics
Nonlinear delay dynamic equations
Nonlinear equations
Ordinary Differential Equations
Oscillation
Partial Differential Equations
Positive and negative coefficients
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Summary: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.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-019-2190-5