## Rocky Mountain Journal of Mathematics

### Some properties of the solutions of third order linear ordinary differential equations

G.A. Grigorian

#### 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.

#### Article information

Source
Rocky Mountain J. Math., Volume 46, Number 1 (2016), 147-168.

Dates
First available in Project Euclid: 23 May 2016

https://projecteuclid.org/euclid.rmjm/1464035857

Digital Object Identifier
doi:10.1216/RMJ-2016-46-1-147

Mathematical Reviews number (MathSciNet)
MR3506083

Zentralblatt MATH identifier
1353.34012

#### Citation

Grigorian, G.A. Some properties of the solutions of third order linear ordinary differential equations. Rocky Mountain J. Math. 46 (2016), no. 1, 147--168. doi:10.1216/RMJ-2016-46-1-147. https://projecteuclid.org/euclid.rmjm/1464035857

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