Oscillation and Asymptotic Behavior of Three-Dimensional Third-Order Delay Systems

In this paper, oscillation and asymptotic behavior of three-dimensional third-order delay systems are discussed. Some sufficient conditions are obtained to ensure that every solution of the system is either oscillatory or nonoscillatory and converges to zero or diverges as t goes to infinity. A spec...

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Bibliographic Details
Published in:International journal of differential equations 2023-06, Vol.2023, p.1-12
Main Authors: Naeif, Ahmed Abdulhasan, Mohamad, Hussain Ali
Format: Article
Language:English
Subjects:
Asymptotic properties
Differential equations
Inequality
Ordinary differential equations
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Summary:In this paper, oscillation and asymptotic behavior of three-dimensional third-order delay systems are discussed. Some sufficient conditions are obtained to ensure that every solution of the system is either oscillatory or nonoscillatory and converges to zero or diverges as t goes to infinity. A special technique is adopted to include all possible cases for all nonoscillatory solutions (NOSs). The obtained results included illustrative examples.
ISSN:1687-9643
1687-9651
DOI:10.1155/2023/9939317