Oscillation Theorems of Solutions of Third Order Nonlinear Neutral Differential Equations with Periodic Coefficients

Authors

  • Nidhal M. AbdAlameer Department of Mathematics, College of Science for Women, University of Baghdad, Baghdad, Iraq.
  • Intisar Haitham Qasem Department of Mathematics, College of Science for Women, University of Baghdad, Baghdad, Iraq. https://orcid.org/0000-0002-4956-4582
  • Hussain Ali Mohamad Department of Mathematics, College of Science for Women, University of Baghdad, Baghdad, Iraq.

DOI:

https://doi.org/10.22401/

Keywords:

Third-order Differential Equations, Oscillation, Neutral Nonlinear Equations, Periodic Coefficients

Abstract

 In this article, nonlinear neutral equations of the 3rd order with several periodic coefficients and forcing terms are studied, where some conditions are found that include the existence of only oscillatory solutions for this type of equation. All cases in which non-oscillatory solutions are likely to exist were discussed and appropriate conditions were found to exclude these cases. Some illustrative examples of the extracted results are added.

Author Biography

  • Intisar Haitham Qasem, Department of Mathematics, College of Science for Women, University of Baghdad, Baghdad, Iraq.

    mathematics 

References

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Published

2026-03-16

Issue

Vol. 29 No. 1 (2026): March 2026

Section

Mathematics

License

Copyright (c) 2026 Nidhal M. AbdAlameer, Intisar Haitham Qasem, Hussain Ali Mohamad

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

(1)
M. AbdAlameer, N. .; Haitham Qasem, I. .; Ali Mohamad, H. . Oscillation Theorems of Solutions of Third Order Nonlinear Neutral Differential Equations With Periodic Coefficients. Al-Nahrain J. Sci. 2026, 29 (1), 185-195. https://doi.org/10.22401/.