Open Access
2016 Some properties of the solutions of third order linear ordinary differential equations
G.A. Grigorian
Rocky Mountain J. Math. 46(1): 147-168 (2016). DOI: 10.1216/RMJ-2016-46-1-147

Abstract

The method of Riccati equations is used to study some properties of third order linear ordinary differential equations. Some criteria of asymptotic behavior and non stability of solution of this equation are obtained. Two oscillatory criteria are proved.

Citation

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G.A. Grigorian. "Some properties of the solutions of third order linear ordinary differential equations." Rocky Mountain J. Math. 46 (1) 147 - 168, 2016. https://doi.org/10.1216/RMJ-2016-46-1-147

Information

Published: 2016
First available in Project Euclid: 23 May 2016

zbMATH: 1353.34012
MathSciNet: MR3506083
Digital Object Identifier: 10.1216/RMJ-2016-46-1-147

Subjects:
Primary: 34C10 , 34C99

Keywords: asymptotic behavior , criterion of Raus-Hurwitz , non stability , ‎oscillation‎ , Riccati equations

Rights: Copyright © 2016 Rocky Mountain Mathematics Consortium

Vol.46 • No. 1 • 2016
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