Nonlinear Advanced Differential Equations: Improving Some Properties of Positive Solutions and Their Applications

Authors

  • Wedad Alhaysuni Department of Mathematics, College of Science, Qassim University, P. O. Box 6644, Buraydah, 51452 Saudi Arabia
  • Saleh Fahad Aljurbua Department of Mathematics, College of Science, Qassim University, P. O. Box 6644, Buraydah, 51452 Saudi Arabia
  • Osama Moaaz Department of Mathematics, College of Science, Qassim University, P. O. Box 6644, Buraydah, 51452 Saudi Arabia

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i3.6277

Keywords:

differential equations, advanced argument , oscillatory performance, noncanonical case

Abstract

This study examines the oscillatory performance of solutions of functional differential equations with an advanced argument. Equations of the advanced type have not received as much study as equations with delay. We deduce some new monotonic properties of the positive solutions of the studied equation. Then, we use these properties to obtain criteria that test the oscillatory nature of the solutions. We apply the results to some special cases, compare them with previous results, and analyze the results to demonstrate the novelty and importance.

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Published

2025-08-01

Issue

Vol. 18 No. 3: (July 2025)

Section

Differential Equations

License

Copyright (c) 2025 Wedad Alhaysuni, Saleh Fahad Aljurbua, Osama Moaaz

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How to Cite

Nonlinear Advanced Differential Equations: Improving Some Properties of Positive Solutions and Their Applications. (2025). European Journal of Pure and Applied Mathematics, 18(3), 6277. https://doi.org/10.29020/nybg.ejpam.v18i3.6277