|RICCATI EQUATIONS AND NONOSCILLATORY SOLUTIONS OF THIRD ORDER DIFFERENTIAL EQUATIONS
|Year of Publication
|FIGUEROA PABLO, PINTO MANUEL
|Dynamic Systems and Applications
|AMS Subject Classification
We study the existence of special solutions of second order Riccati type equations. We apply these results to third order linear differential equations with almost constant coefficients. We give new sufficient conditions to know the asymptotic behavior of the logarithmic derivative of a solution y. We recover Poincar´e and Perron’s results and other asymptotic formulae. Furthermore, we obtain some weaker versions of Levinson and Hartman-Wintner type Theorems.