Title | RICCATI EQUATIONS AND NONOSCILLATORY SOLUTIONS OF THIRD ORDER DIFFERENTIAL EQUATIONS |
Publication Type | Journal Article |
Year of Publication | 2008 |
Authors | FIGUEROA PABLO, PINTO MANUEL |
Journal | Dynamic Systems and Applications |
Volume | 17 |
Start Page | 459 |
Pagination | 17 |
Date Published | 2008 |
ISSN | 1056-2176 |
AMS Subject Classification | 34E05, 34E10 |
Abstract | 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. |
https://acadsol.eu/dsa/articles/17/DSA-2007-459-476.pdf | |
Refereed Designation | Refereed |