By means of Riccati transformation techniques, we establish some oscillation criteria for a second order nonlinear dynamic equation on time scales in terms of the coefficients. We give examples of dynamic equations to which previously known oscillation criteria are not applicable.
S. H. Saker and M. Bohner, "Oscillation of Second Order Nonlinear Dynamic Equations on Time Scales," Rocky Mountain Journal of Mathematics, Rocky Mountain Mathematical Consortium, Jan 2004.
The definitive version is available at https://doi.org/10.1216/rmjm/1181069797
Mathematics and Statistics
Keywords and Phrases
Oscillation; Riccati transformation technique; measure chain; positive solution; second order nonlinear dynamic equation; time scale
International Standard Serial Number (ISSN)
Article - Journal
© 2004 Rocky Mountain Mathematical Consortium, All rights reserved.