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An improved oscillation theorem for nonlinear delay differential equations

Author

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  • Kılıç, Nurten
  • Öcalan, Özkan
  • Yıldız, Mustafa Kemal

Abstract

In this article, we establish a new oscillation criterion for all solutions of first order nonlinear delay differential equations. The main result improves well-known oscillation conditions in the literature. Besides, an example is presented to prove the importance of the main theorem.

Suggested Citation

  • Kılıç, Nurten & Öcalan, Özkan & Yıldız, Mustafa Kemal, 2024. "An improved oscillation theorem for nonlinear delay differential equations," Applied Mathematics and Computation, Elsevier, vol. 478(C).
  • Handle: RePEc:eee:apmaco:v:478:y:2024:i:c:s0096300324003138
    DOI: 10.1016/j.amc.2024.128852
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    References listed on IDEAS

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    1. George E. Chatzarakis & Tongxing Li, 2018. "Oscillation Criteria for Delay and Advanced Differential Equations with Nonmonotone Arguments," Complexity, Hindawi, vol. 2018, pages 1-18, April.
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