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

Author

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  • Ahmed Abdulhasan Naeif
  • Hussain Ali Mohamad
  • Khalil Ezzinbi

Abstract

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.

Suggested Citation

  • Ahmed Abdulhasan Naeif & Hussain Ali Mohamad & Khalil Ezzinbi, 2023. "Oscillation and Asymptotic Behavior of Three-Dimensional Third-Order Delay Systems," International Journal of Differential Equations, Hindawi, vol. 2023, pages 1-12, June.
    • Handle: RePEc:hin:jnijde:9939317
    DOI: 10.1155/2023/9939317
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