Table of Contents Author Guidelines Submit a Manuscript
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 597325, 6 pages
http://dx.doi.org/10.1155/2014/597325
Research Article

Oscillation of Certain Emden-Fowler Dynamic Equations on Time Scales

1Department of Mathematics and Computer Science, Normal College, Jishou University, Jishou, Hunan 416000, China
2Department of Mathematics, University of Nebraska-Lincoln, Lincoln, NE 68588-0130, USA
3School of Mathematics and Computer Science, Zhongshan University, Guangzhou 510275, China

Received 4 April 2014; Accepted 19 May 2014; Published 26 May 2014

Academic Editor: Douglas R. Anderson

Copyright © 2014 Qiaoshun Yang et al. 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.

Linked References

  1. S. Hilger, “Analysis on measure chains—a unified approach to continuous and discrete calculus,” Results in Mathematics, vol. 18, no. 1-2, pp. 18–56, 1990. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  2. M. Bohner and A. Peterson, Dynamic Equations on Time Scales: An Introduction with Applications, Birkhäuser, Boston, Mass, USA, 2001. View at Publisher · View at Google Scholar · View at MathSciNet
  3. M. Bohner and A. Peterson, Advances in Dynamic Equations on Time Scales, Birkhäuser, Boston, Mass, USA, 2003. View at Publisher · View at Google Scholar · View at MathSciNet
  4. A. Douglas and S. H. Saker, “Interval oscillation criteria for forced Emden-Fowler functional dynamic equations with oscillatory potential,” Science China Mathematics, vol. 56, no. 3, pp. 561–576, 2013. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  5. H. Liu and P. Liu, “Oscillation criteria for some new generalized Emden-Fowler dynamic equations on time scales,” Abstract and Applied Analysis, vol. 2013, Article ID 962590, 16 pages, 2013. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  6. D.-X. Chen, “Oscillation of second-order Emden-Fowler neutral delay dynamic equations on time scales,” Mathematical and Computer Modelling, vol. 51, no. 9-10, pp. 1221–1229, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  7. L. Erbe, B. Jia, and A. Peterson, “On the asymptotic behavior of solutions of Emden-Fowler equations on time scales,” Annali di Matematica Pura ed Applicata, vol. 191, no. 2, pp. 205–217, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  8. Q. Yang and Z. Xu, “Oscillation criteria for second order quasilinear neutral delay differential equations on time scales,” Computers & Mathematics with Applications, vol. 62, no. 10, pp. 3682–3691, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  9. S. H. Saker and D. O'Regan, “New oscillation criteria for second-order neutral functional dynamic equations via the generalized Riccati substitution,” Communications in Nonlinear Science and Numerical Simulation, vol. 16, no. 1, pp. 423–434, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  10. Z. Han, T. Li, S. Sun, and C. Zhang, “Oscillation behavior of third-order neutral Emden-Fowler delay dynamic equations on time-scales,” Advances in Difference Equations, vol. 2010, Article ID 586312, 23 pages, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  11. G. H. Hardy, J. E. Littlewood, and G. Pólya, Inequalities, Cambridge University Press, Cambridge, UK, 2nd edition, 1952. View at MathSciNet