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Article
Oscillation Criteria for a Certain Class of Second Order Emden-Fowler Dynamic Equations
Electronic Transactions on Numerical Analysis
  • Elvan Akin, Missouri University of Science and Technology
  • S. H. Saker
  • Martin Bohner, Missouri University of Science and Technology
Abstract

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.

Department(s)
Mathematics and Statistics
Keywords and Phrases
  • Riccati Transformation Technique,
  • Dynamic Equation,
  • Oscillation,
  • Time Scale
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2007 American Mathematical Society, All rights reserved.
Publication Date
1-1-2007
Publication Date
01 Jan 2007
Citation Information
Elvan Akin, S. H. Saker and Martin Bohner. "Oscillation Criteria for a Certain Class of Second Order Emden-Fowler Dynamic Equations" Electronic Transactions on Numerical Analysis (2007)
Available at: http://works.bepress.com/martin-bohner/71/