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Oscillation of Second Order Nonlinear Neutral Differential Equations

Author

Listed:
  • Yingzhu Wu

    (Department of Mathematics, Guangdong University of Petrochemical Technology, Maoming 525000, China)

  • Yuanhong Yu

    (Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China)

  • Jinsen Xiao

    (Department of Mathematics, Guangdong University of Petrochemical Technology, Maoming 525000, China)

Abstract

The study of the oscillatory behavior of solutions to second order nonlinear differential equations is motivated by their numerous applications in the natural sciences and engineering. In the presented research, some new oscillation criteria for a class of damped second order neutral differential equations with noncanonical operators are established. The results extend and improve on those reported in the literature. Moreover, some examples are provided to show the significance of the results.

Suggested Citation

  • Yingzhu Wu & Yuanhong Yu & Jinsen Xiao, 2022. "Oscillation of Second Order Nonlinear Neutral Differential Equations," Mathematics, MDPI, vol. 10(15), pages 1-12, August.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:15:p:2739-:d:878709
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    References listed on IDEAS

    as
    1. Agarwal, Ravi P. & Bohner, Martin & Li, Tongxing, 2015. "Oscillatory behavior of second-order half-linear damped dynamic equations," Applied Mathematics and Computation, Elsevier, vol. 254(C), pages 408-418.
    2. Tongxing Li & Yuriy V. Rogovchenko, 2015. "Oscillation of second-order neutral differential equations," Mathematische Nachrichten, Wiley Blackwell, vol. 288(10), pages 1150-1162, July.
    3. Jozef Džurina & Said R. Grace & Irena Jadlovská & Tongxing Li, 2020. "Oscillation criteria for second‐order Emden–Fowler delay differential equations with a sublinear neutral term," Mathematische Nachrichten, Wiley Blackwell, vol. 293(5), pages 910-922, May.
    4. Agarwal, Ravi P. & Zhang, Chenghui & Li, Tongxing, 2016. "Some remarks on oscillation of second order neutral differential equations," Applied Mathematics and Computation, Elsevier, vol. 274(C), pages 178-181.
    5. Shurong Sun & Tongxing Li & Zhenlai Han & Hua Li, 2012. "Oscillation Theorems for Second-Order Quasilinear Neutral Functional Differential Equations," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-17, July.
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