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Oscillation Theorems for Second‐Order Half‐Linear Neutral Delay Dynamic Equations with Damping on Time Scales

Author

Listed:
  • Quanxin Zhang
  • Shouhua Liu

Abstract

We establish the oscillation criteria of Philos type for second‐order half‐linear neutral delay dynamic equations with damping on time scales by the generalized Riccati transformation and inequality technique. Our results are new even in the continuous and the discrete cases.

Suggested Citation

  • Quanxin Zhang & Shouhua Liu, 2014. "Oscillation Theorems for Second‐Order Half‐Linear Neutral Delay Dynamic Equations with Damping on Time Scales," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:615374
    DOI: 10.1155/2014/615374
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    References listed on IDEAS

    as
    1. Xin Wu & Taixiang Sun & Hongjian Xi & Changhong Chen, 2013. "Oscillation Criteria for Fourth-Order Nonlinear Dynamic Equations on Time Scales," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-11, July.
    2. Taixiang Sun & Qiuli He & Hongjian Xi & Weiyong Yu, 2013. "Oscillation for Higher Order Dynamic Equations on Time Scales," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, October.
    3. Xin Wu & Taixiang Sun & Hongjian Xi & Changhong Chen, 2013. "Oscillation Criteria for Fourth‐Order Nonlinear Dynamic Equations on Time Scales," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    4. Taixiang Sun & Qiuli He & Hongjian Xi & Weiyong Yu, 2013. "Oscillation for Higher Order Dynamic Equations on Time Scales," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    5. Taixiang Sun & Hongjian Xi & Xiaofeng Peng & Weiyong Yu, 2010. "Nonoscillatory Solutions for Higher‐Order Neutral Dynamic Equations on Time Scales," Abstract and Applied Analysis, John Wiley & Sons, vol. 2010(1).
    6. Taixiang Sun & Hongjian Xi & Xiaofeng Peng & Weiyong Yu, 2010. "Nonoscillatory Solutions for Higher-Order Neutral Dynamic Equations on Time Scales," Abstract and Applied Analysis, Hindawi, vol. 2010, pages 1-16, September.
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