Journal of Applied Mathematics and Computing

, Volume 20, Issue 1, pp 133–147

Oscillation criteria for nonlinear perturbed dynamic equations of second-order on time scales


DOI: 10.1007/BF02831928

Cite this article as:
Agarwal, R.P., O’regan, D. & Saker, S.H. J. Appl. Math. Comput. (2006) 20: 133. doi:10.1007/BF02831928


In this paper, by using the Riccati transformation technique we establish some new oscillation criteria for second-order nonlinear perturbed dynamic equation on time scales. An example illustrating our main results is also given.

AMS Mathematics Subject Classification

34K1139A1039A99 (34A9934C1039A11)

Key words and phrases

Oscillationsecond-order nonlinear dynamic equationtime scaleRiccati transformation technique

Copyright information

© Korean Society for Computational & Applied Mathematics and Korean SIGCAM 2006

Authors and Affiliations

  • Ravi P. Agarwal
    • 1
  • Donal O’regan
    • 2
  • S. H. Saker
    • 3
  1. 1.Department of Mathematical SciencesFlorida Institute of TechnologyMelbourneUSA
  2. 2.Department of MathematicsNational University of IrelandGalwayIreland
  3. 3.Department of Mathematics, Faculty of ScienceMansoura UniversityMansouraEgypt