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Oscillation of Third-Order Neutral Delay Differential Equations

Author

Listed:
  • Tongxing Li
  • Chenghui Zhang
  • Guojing Xing

Abstract

The purpose of this paper is to examine oscillatory properties of the third-order neutral delay differential equation . Some oscillatory and asymptotic criteria are presented. These criteria improve and complement those results in the literature. Moreover, some examples are given to illustrate the main results.

Suggested Citation

  • Tongxing Li & Chenghui Zhang & Guojing Xing, 2012. "Oscillation of Third-Order Neutral Delay Differential Equations," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-11, January.
    • Handle: RePEc:hin:jnlaaa:569201
    DOI: 10.1155/2012/569201
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    Cited by:

    1. K. S. Vidhyaa & John R. Graef & E. Thandapani, 2020. "New Oscillation Results for Third-Order Half-Linear Neutral Differential Equations," Mathematics, MDPI, vol. 8(3), pages 1-9, March.
    2. Grace, Said R. & Jadlovská, Irena & Zafer, Agacik, 2019. "On oscillation of third-order noncanonical delay differential equations," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
    3. Osama Moaaz & Yousef Alnafisah, 2023. "An Improved Approach to Investigate the Oscillatory Properties of Third-Order Neutral Differential Equations," Mathematics, MDPI, vol. 11(10), pages 1-15, May.
    4. Gunasekaran Nithyakala & George E. Chatzarakis & Govindasamy Ayyappan & Ethiraju Thandapani, 2024. "Third-Order Noncanonical Neutral Delay Differential Equations: Nonexistence of Kneser Solutions via Myshkis Type Criteria," Mathematics, MDPI, vol. 12(18), pages 1-10, September.
    5. Taher S. Hassan & Bassant M. El-Matary, 2023. "Asymptotic Behavior and Oscillation of Third-Order Nonlinear Neutral Differential Equations with Mixed Nonlinearities," Mathematics, MDPI, vol. 11(2), pages 1-10, January.

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