Electron. J. Diff. Equ., Vol. 2016 (2016), No. 38, pp. 1-13.

Comparison theorems for third-order neutral differential equations

Zuzana Dosla, Petr Liska

Abstract:
We establish comparison theorems for the oscillation of solutions to third-order neutral differential equations via linear ordinary and delay differential equations. Several applications illustrate the role of the deviating argument in the differential operator.

Submitted September 30, 2015. Published January 26, 2016.
Math Subject Classifications: 34K40, 34C10.
Key Words: Oscillation of solutions; neutral equation; functional equation.

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Zuzana Dosla
Department of Mathematics and Statistics
Masaryk University, Kotlsk 2
Brno, 611 37, Czech Republic
email: dosla@math.muni.cz
Petr Liska
Department of Mathematics and Statistics
Masaryk University, Kotlsk 2
Brno, 611 37, Czech Republic
email: xliska@math.muni.cz

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