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<p>This paper investigates the oscillatory behavior of a class of higher-order nonlinear neutral differential equations with sublinear terms and time delays. By employing generalized Riccati transformations, new results on oscillation are established, extending and refining existing criteria while relaxing previously imposed restrictions. The analysis is based on a detailed examination of solution properties, and theoretical findings are illustrated through numerical examples. The proposed approach enhances the available analytical tools for studying neutral differential equations with delays and offers potential implications for applications in physics, engineering, and the modeling of complex systems.</p>

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New results on oscillation of higher-order neutral Emden–Fowler differential equations with sublinear terms

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年4月3日

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  • Omar Bazighifan,
  • Fahd Masood,
  • Alanoud Almutairi,
  • Khalil S. Al-Ghafri

摘要

This paper investigates the oscillatory behavior of a class of higher-order nonlinear neutral differential equations with sublinear terms and time delays. By employing generalized Riccati transformations, new results on oscillation are established, extending and refining existing criteria while relaxing previously imposed restrictions. The analysis is based on a detailed examination of solution properties, and theoretical findings are illustrated through numerical examples. The proposed approach enhances the available analytical tools for studying neutral differential equations with delays and offers potential implications for applications in physics, engineering, and the modeling of complex systems.