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Analytic Study of the Existence of Solutions to the Second‐Order Delay Differential Equations

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  • Mohammed Jasim Fadhil
  • Bashar Ahmed Sharba

Abstract

This paper addresses the existence of bounded solutions for second‐order nonlinear delay differential equations. It presents new sufficient conditions to demonstrate that the solutions are bounded by decreasing functions. Additionally, an example is provided to validate the applicability of these conditions.

Suggested Citation

  • Mohammed Jasim Fadhil & Bashar Ahmed Sharba, 2025. "Analytic Study of the Existence of Solutions to the Second‐Order Delay Differential Equations," Journal of Applied Mathematics, John Wiley & Sons, vol. 2025(1).
    • Handle: RePEc:wly:jnljam:v:2025:y:2025:i:1:n:9989391
    DOI: 10.1155/jama/9989391
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    References listed on IDEAS

    as
    1. Shyam Sundar Santra & Omar Bazighifan & Hijaz Ahmad & Shao-Wen Yao, 2020. "Second-Order Differential Equation with Multiple Delays: Oscillation Theorems and Applications," Complexity, Hindawi, vol. 2020, pages 1-6, November.
    2. Osama Moaaz & Rami Ahmad El-Nabulsi & Waad Muhsin & Omar Bazighifan, 2020. "Improved Oscillation Criteria for 2nd-Order Neutral Differential Equations with Distributed Deviating Arguments," Mathematics, MDPI, vol. 8(5), pages 1-12, May.
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