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.
"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