Abstract and Applied Analysis
Volume 2013 (2013), Article ID 962590, 16 pages
http://dx.doi.org/10.1155/2013/962590
Research Article

Oscillation Criteria for Some New Generalized Emden-Fowler Dynamic Equations on Time Scales

Haidong Liu1 and Puchen Liu2

1School of Mathematical Sciences, Qufu Normal University, Shandong 273165, China
2Department of Mathematics, University of Houston, Houston, TX 77204, USA

Received 4 September 2012; Revised 8 January 2013; Accepted 11 January 2013

Academic Editor: Patricia J. Y. Wong

Copyright © 2013 Haidong Liu and Puchen Liu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

By means of novel analytical techniques, we have established several new oscillation criteria for the generalized Emden-Fowler dynamic equation on a time scale , that is, , with respect to the case and the case , where , is a constant, , is a constant satisfying , and , , and are real valued right-dense continuous nonnegative functions defined on . Noting the parameter value probably unequal to , our equation factually includes the existing models as special cases; our results are more general and have wider adaptive range than others' work in the literature.