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Oscillation Criteria for Certain Second‐Order Nonlinear Neutral Differential Equations of Mixed Type

Author

Listed:
  • Zhenlai Han
  • Tongxing Li
  • Chenghui Zhang
  • Ying Sun

Abstract

Some oscillation criteria are established for the second‐order nonlinear neutral differential equations of mixed type [(x(t)+p1x(t−τ1)+p2x(t+τ2))γ] ′′=q1(t)xγ(t−σ1)+q2(t)xγ(t+σ2), t ≥ t0, where γ ≥ 1 is a quotient of odd positive integers. Our results generalize the results given in the literature.

Suggested Citation

  • Zhenlai Han & Tongxing Li & Chenghui Zhang & Ying Sun, 2011. "Oscillation Criteria for Certain Second‐Order Nonlinear Neutral Differential Equations of Mixed Type," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    • Handle: RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:387483
    DOI: 10.1155/2011/387483
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    References listed on IDEAS

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    1. Jaromír Baštinec & Leonid Berezansky & Josef Diblík & Zdeněk Šmarda, 2010. "On the Critical Case in Oscillation for Differential Equations with a Single Delay and with Several Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2010(1).
    2. Zhenlai Han & Tongxing Li & Shurong Sun & Chao Zhang & Bangxian Han, 2011. "Oscillation Criteria for a Class of Second-Order Neutral Delay Dynamic Equations of Emden-Fowler Type," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-26, November.
    3. Shurong Sun & Tongxing Li & Zhenlai Han & Yibing Sun, 2011. "Oscillation of Second‐Order Neutral Functional Differential Equations with Mixed Nonlinearities," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    4. Shurong Sun & Tongxing Li & Zhenlai Han & Yibing Sun, 2011. "Oscillation of Second-Order Neutral Functional Differential Equations with Mixed Nonlinearities," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-15, January.
    5. Zhenlai Han & Tongxing Li & Shurong Sun & Chao Zhang & Bangxian Han, 2011. "Oscillation Criteria for a Class of Second‐Order Neutral Delay Dynamic Equations of Emden‐Fowler Type," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
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    Cited by:

    1. Zhen-Lai Han & Yi-Bing Sun & Yan Zhao & Dian-Wu Yang, 2014. "Oscillation Criteria for Certain Even Order Neutral Delay Differential Equations with Mixed Nonlinearities," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Tongxing Li & Zhenlai Han & Chenghui Zhang & Hua Li, 2011. "Oscillation Criteria for Second‐Order Superlinear Neutral Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).

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