INTERVAL OSCILLATION CRITERIA FOR SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH DAMPING

TitleINTERVAL OSCILLATION CRITERIA FOR SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH DAMPING
Publication TypeJournal Article
Year of Publication2007
AuthorsROGOVCHENKO YURI, TUNCAY FATOS
JournalDynamic Systems and Applications
Volume16
Start Page337
Pagination7
Date Published2007
ISSN1056-2176
AMS Subject Classification34C10
Abstract

Using generalized Riccati transformations, for a second order nonlinear differential equation with a damping term we derive nontrivial extensions of oscillation criteria obtained for linear equations by Kong [J. Math. Anal. Appl. 229 (1999), 258–270]. Efficiency of new results is illustrated on the example extracted from the recent paper by Sun [J. Math. Anal. Appl. 291 (2004), 341–351].

PDFhttps://acadsol.eu/dsa/articles/16/337-344-DSA-26-17-Rogovchenko.pdf
Refereed DesignationRefereed