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ORIGINAL RESEARCH article

Front. Appl. Math. Stat.
Sec. Mathematical Physics
Volume 10 - 2024 | doi: 10.3389/fams.2024.1384559

Oscillatory behavior of solutions of second-order nonlinear differential equations with mixed nonlinear neutral terms

Provisionally accepted
Ahmed M. Hassan Ahmed M. Hassan 1Osama Moaaz Osama Moaaz 2*Sameh S. Askar Sameh S. Askar 3Ahmad M. Alshamrani Ahmad M. Alshamrani 3
  • 1 Faculty of Science, Benha University, Benha, Egypt
  • 2 Faculty of Science, Mansoura University, Mansoura, Egypt
  • 3 King Saud University, Riyadh, Riyadh, Saudi Arabia

The final, formatted version of the article will be published soon.

    This study primarily seeks to expand upon these developments by encompassing neutral differential equations of mixed type, incorporating both delay and advanced terms, particularly in the case of the canonical operator. The presented results are derived through the application of the comparison method, the Riccati transformation, and the integral averaging technique. These methodologies lead to substantial improvements and extensions of existing results found in the literature. Additionally, illustrative examples are provided to demonstrate the practical implications of the developed criteria.

    Keywords: neutral differential equations, Second Order, Oscillatory, mixed terms, Riccati transformation

    Received: 09 Feb 2024; Accepted: 25 Jun 2024.

    Copyright: © 2024 Hassan, Moaaz, Askar and Alshamrani. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

    * Correspondence: Osama Moaaz, Faculty of Science, Mansoura University, Mansoura, Egypt

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