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Oscillation Criteria of Certain Third-Order Differential Equation with Piecewise Constant Argument

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  • Haihua Liang
  • Gen-qiang Wang

Abstract

We study the oscillation and asymptotic behavior of third-order nonlinear delay differential equation with piecewise constant argument of the form . We establish several sufficient conditions which insure that any solution of this equation oscillates or converges to zero. Some examples are given to illustrate the importance of our results.

Suggested Citation

  • Haihua Liang & Gen-qiang Wang, 2012. "Oscillation Criteria of Certain Third-Order Differential Equation with Piecewise Constant Argument," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-18, December.
  • Handle: RePEc:hin:jnljam:498073
    DOI: 10.1155/2012/498073
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