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Some New Oscillation Results for Fourth-Order Neutral Differential Equations with a Canonical Operator

Author

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  • Omar Bazighifan

Abstract

By this work, our aim is to study oscillatory behaviour of solutions to 4th-order differential equation of neutral type where . By using the comparison method with first-order differential inequality, we find new oscillation conditions for this equation.

Suggested Citation

  • Omar Bazighifan, 2020. "Some New Oscillation Results for Fourth-Order Neutral Differential Equations with a Canonical Operator," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-7, October.
    • Handle: RePEc:hin:jnlmpe:8825413
    DOI: 10.1155/2020/8825413
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    Cited by:

    1. Higinio Ramos & Osama Moaaz & Ali Muhib & Jan Awrejcewicz, 2021. "More Effective Results for Testing Oscillation of Non-Canonical Neutral Delay Differential Equations," Mathematics, MDPI, vol. 9(10), pages 1-10, May.
    2. Devi, Munesh & Yadav, Shalini & Arora, Rajan, 2021. "Optimal system, invariance analysis of fourth-Order nonlinear ablowitz-Kaup-Newell-Segur water wave dynamical equation using lie symmetry approach," Applied Mathematics and Computation, Elsevier, vol. 404(C).
    3. Ioannis Dassios & Ali Muhib & Sobhy A. A. El-Marouf & Sayed K. Elagan, 2023. "Oscillation of Neutral Differential Equations with Damping Terms," Mathematics, MDPI, vol. 11(2), pages 1-15, January.
    4. Osama Moaaz & Ali Muhib & Shyam S. Santra, 2021. "An Oscillation Test for Solutions of Second-Order Neutral Differential Equations of Mixed Type," Mathematics, MDPI, vol. 9(14), pages 1-14, July.
    5. 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.
    6. Abdulaziz Khalid Alsharidi & Ali Muhib & Sayed K. Elagan, 2023. "Neutral Differential Equations of Higher-Order in Canonical Form: Oscillation Criteria," Mathematics, MDPI, vol. 11(15), pages 1-13, July.

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