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Comparison Theorems for the Third-Order Delay Trinomial Differential Equations

Abstract

The objective of this paper is to study the asymptotic properties of third-order delay trinomial differential equation . Employing new comparison theorems, we can deduce the oscillatory and asymptotic behavior of the above-mentioned equation from the oscillation of a couple of the first-order differential equations. Obtained comparison principles essentially simplify the examination of the studied equations.

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Correspondence to J Džurina.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Baculíková, B., Džurina, J. Comparison Theorems for the Third-Order Delay Trinomial Differential Equations. Adv Differ Equ 2010, 160761 (2010). https://doi.org/10.1155/2010/160761

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  • DOI: https://doi.org/10.1155/2010/160761

Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Analysis
  • Functional Equation