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Second-Order Differential Equation with Multiple Delays: Oscillation Theorems and Applications

Author

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  • Shyam Sundar Santra
  • Omar Bazighifan
  • Hijaz Ahmad
  • Shao-Wen Yao

Abstract

Differential equations of second order appear in physical applications such as fluid dynamics, electromagnetism, acoustic vibrations, and quantum mechanics. In this paper, necessary and sufficient conditions are established of the solutions to second-order half-linear delay differential equations of the form , under the assumption . We consider two cases when and , where and are the quotient of two positive odd integers. Two examples are given to show effectiveness and applicability of the result.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:complx:8853745
    DOI: 10.1155/2020/8853745
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    Cited by:

    1. Sharmin Sultana & Gilberto González-Parra & Abraham J. Arenas, 2023. "Mathematical Modeling of Toxoplasmosis in Cats with Two Time Delays under Environmental Effects," Mathematics, MDPI, vol. 11(16), pages 1-20, August.
    2. Shyam Sundar Santra & Rami Ahmad El-Nabulsi & Khaled Mohamed Khedher, 2021. "Oscillation of Second-Order Differential Equations with Multiple and Mixed Delays under a Canonical Operator," Mathematics, MDPI, vol. 9(12), pages 1-9, June.

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