RICCATI EQUATIONS AND NONOSCILLATORY SOLUTIONS OF THIRD ORDER DIFFERENTIAL EQUATIONS

TitleRICCATI EQUATIONS AND NONOSCILLATORY SOLUTIONS OF THIRD ORDER DIFFERENTIAL EQUATIONS
Publication TypeJournal Article
Year of Publication2008
AuthorsFIGUEROA PABLO, PINTO MANUEL
JournalDynamic Systems and Applications
Volume17
Start Page459
Pagination17
Date Published2008
ISSN1056-2176
AMS Subject Classification34E05, 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.

PDFhttps://acadsol.eu/dsa/articles/17/DSA-2007-459-476.pdf
Refereed DesignationRefereed