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Necessary and Sufficient Conditions of Oscillation in First Order Neutral Delay Differential Equations

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  • Songbai Guo
  • Youjian Shen
  • Binbin Shi

Abstract

We are concerned with oscillation of the first order neutral delay differential equation [x(t) − px(t − τ)] ′ + qx(t − σ) = 0 with constant coefficients, and we obtain some necessary and sufficient conditions of oscillation for all the solutions in respective cases 0 1.

Suggested Citation

  • Songbai Guo & Youjian Shen & Binbin Shi, 2014. "Necessary and Sufficient Conditions of Oscillation in First Order Neutral Delay Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:623713
    DOI: 10.1155/2014/623713
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    References listed on IDEAS

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    1. Chuangxia Huang & Hanfeng Kuang & Xiaohong Chen & Fenghua Wen, 2013. "An LMI Approach for Dynamics of Switched Cellular Neural Networks with Mixed Delays," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, April.
    2. Zhang, Qiang & Wei, Xiaopeng & Xu, Jin, 2006. "Stability analysis for cellular neural networks with variable delays," Chaos, Solitons & Fractals, Elsevier, vol. 28(2), pages 331-336.
    3. Chuangxia Huang & Hanfeng Kuang & Xiaohong Chen & Fenghua Wen, 2013. "An LMI Approach for Dynamics of Switched Cellular Neural Networks with Mixed Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
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