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Distributions of Zeros of Solutions for Third-Order Differential Equations with Variable Coefficients

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  • Samir H. Saker
  • Mohammed A. Arahet

Abstract

For the third-order linear differential equations of the form , we will establish lower bounds for the distance between zeros of a solution and/or its derivatives. The main results will be proved by making use of Hardy’s inequality and some generalizations of Opial and Wirtinger type inequalities.

Suggested Citation

  • Samir H. Saker & Mohammed A. Arahet, 2015. "Distributions of Zeros of Solutions for Third-Order Differential Equations with Variable Coefficients," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-9, January.
    • Handle: RePEc:hin:jnlmpe:158460
    DOI: 10.1155/2015/158460
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