By means of Riccati transformation techniques we establish some oscillation criteria for the second order Emden-Fowler dynamic equation on a time scale. Such equations contain the classical Emden-Fowler equation as well as their discrete counterparts. The classical oscillation results of Atkinson (in the superlinear case) and Belohorec (in the sublinear case) are extended in this paper to Emden-Fowler dynamic equations on any time scale.
E. Akin et al., "Oscillation Criteria for a Certain Class of Second Order Emden-Fowler Dynamic Equations," Electronic Transactions on Numerical Analysis, American Mathematical Society, Jan 2007.
Mathematics and Statistics
Keywords and Phrases
Riccati Transformation Technique; Dynamic Equation; Oscillation; Time Scale
Article - Journal
© 2007 American Mathematical Society, All rights reserved.
01 Jan 2007