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Oscillation Criteria for Second‐Order Neutral Delay Dynamic Equations with Nonlinearities Given by Riemann‐Stieltjes Integrals

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  • Haidong Liu
  • Cuiqin Ma

Abstract

We establish several oscillation criteria for a class of second‐order neutral delay dynamic equations with nonlinearities given by Riemann‐Stieltjes integrals. Our results extend and unify a number of other existing results and handle the cases which are not covered by known criteria. The new results we obtain are of significance because the equations we study allow an infinite number of nonlinear terms and even a continuum of nonlinearities.

Suggested Citation

  • Haidong Liu & Cuiqin Ma, 2013. "Oscillation Criteria for Second‐Order Neutral Delay Dynamic Equations with Nonlinearities Given by Riemann‐Stieltjes Integrals," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:530457
    DOI: 10.1155/2013/530457
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    References listed on IDEAS

    as
    1. Yuangong Sun, 2011. "Interval Oscillation Criteria for Second-Order Dynamic Equations with Nonlinearities Given by Riemann-Stieltjes Integrals," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-14, October.
    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. Yuangong Sun, 2011. "Interval Oscillation Criteria for Second‐Order Dynamic Equations with Nonlinearities Given by Riemann‐Stieltjes Integrals," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    4. 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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