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Some Further Results on Oscillations for Neutral Delay Differential Equations with Variable Coefficients

Author

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  • Fatima N. Ahmed
  • Rokiah Rozita Ahmad
  • Ummul Khair Salma Din
  • Mohd Salmi Md Noorani

Abstract

We study the oscillatory behaviour of all solutions of first‐order neutral equations with variable coefficients. The obtained results extend and improve some of the well‐known results in the literature. Some examples are given to show the evidence of our new results.

Suggested Citation

  • Fatima N. Ahmed & Rokiah Rozita Ahmad & Ummul Khair Salma Din & Mohd Salmi Md Noorani, 2014. "Some Further Results on Oscillations for Neutral Delay Differential Equations with Variable Coefficients," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:579023
    DOI: 10.1155/2014/579023
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    References listed on IDEAS

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    1. Fatima N. Ahmed & Rokiah Rozita Ahmad & Ummul Khair Salma Din & Mohd Salmi Md Noorani, 2013. "Oscillation Criteria of First Order Neutral Delay Differential Equations with Variable Coefficients," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. Fatima N. Ahmed & Rokiah Rozita Ahmad & Ummul Khair Salma Din & Mohd Salmi Md Noorani, 2013. "Oscillation Criteria of First Order Neutral Delay Differential Equations with Variable Coefficients," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-5, October.
    3. Ibrahim R. Al-Amri, 2002. "On the oscillation of first-order neutral delay differential equations with real coefficients," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 29, pages 1-5, January.
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    Cited by:

    1. Fatima N. Ahmed & Rokiah R. Ahmad & Ummul K. S. Din & Mohd S. M. Noorani, 2014. "Oscillations for Nonlinear Neutral Delay Differential Equations with Variable Coefficients," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Lili Jia & Zunbing Sheng, 2014. "Robust Stabilization of Linear Switching Systems with Both Input and Communication Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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    1. Fatima N. Ahmed & Rokiah R. Ahmad & Ummul K. S. Din & Mohd S. M. Noorani, 2014. "Oscillations for Nonlinear Neutral Delay Differential Equations with Variable Coefficients," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Fatima N. Ahmed & Rokiah Rozita Ahmad & Ummul Khair Salma Din & Mohd Salmi Md Noorani, 2013. "Oscillation Criteria for Linear Neutral Delay Differential Equations of First Order," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).

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