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Oscillation Theorems for Second‐Order Nonlinear Neutral Delay Differential Equations

Author

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  • Tongxing Li
  • Yuriy V. Rogovchenko

Abstract

We analyze the oscillatory behavior of solutions to a class of second‐order nonlinear neutral delay differential equations. Our theorems improve a number of related results reported in the literature.

Suggested Citation

  • Tongxing Li & Yuriy V. Rogovchenko, 2014. "Oscillation Theorems for Second‐Order Nonlinear 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:594190
    DOI: 10.1155/2014/594190
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    References listed on IDEAS

    as
    1. S. R. Grace & B. S. Lalli, 1987. "Oscillation theorems for second order nonlinear differential equations with deviating arguments," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 10, pages 1-11, January.
    2. Ravi P. Agarwal & Said R. Grace & Donal O’Regan, 2000. "Oscillation Theory for Difference and Functional Differential Equations," Springer Books, Springer, number 978-94-015-9401-1, March.
    3. Shurong Sun & Tongxing Li & Zhenlai Han & Hua Li, 2012. "Oscillation Theorems for Second‐Order Quasilinear Neutral Functional Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    4. 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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    Cited by:

    1. Serpil Şahin, 2025. "Novel Oscillation Conditions for Second‐Order Damped Differential Equations With Bounded and Unbounded Neutral Terms," Journal of Mathematics, John Wiley & Sons, vol. 2025(1).

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