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

Samir H. Saker and Mohammed A. Arahet

Mathematical Problems in Engineering, 2015, vol. 2015, 1-9

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.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:158460

DOI: 10.1155/2015/158460

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