...

  • Home
  • Articles
    • Current Issue
    • Archives
  • Authors
    • Author Guidelines
    • Policies
    • Downloads
  • Editors
  • Reviewers
...

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 31 | Number 2 | Year 2016 | Article Id. IJMTT-V31P515 | DOI : https://doi.org/10.14445/22315373/IJMTT-V31P515

Oscillation of second-order nonlinear delay dynamic equations on time scales


H.A.Agwa, Ahmed M.M. Khodier, M.Hamam
Abstract

In this paper, we establish some new oscillation criteria for second order nonlinear neutral delay dynamic equation of the form on a time scale T.

Keywords
Oscillation, Neutral equation, Delay equation, Dynamic equation, Time scale.
References

[1] R.P. Agarwal, Donal O’Regan and S.H. Saker, Oscillation criteria for second-order nonlinear neutral delay dynamic equations, J. Math. Anal. Appl. 300 (2004) 203-217.
[2] E. Akin-Bohner, M. Bohner and S. H. Saker, Oscillation criteria for a certain class of second order Emden-Fowler dynamic equations, Electron. Trans. Numer. Anal., in press.
[3] M. Bohner and A. Peterson, Dynamic Equations on Time Scales: An Introduction with Applications, Birkh user, Boston, 2001.
[4] M. Bohner and A. Peterson, Advances in Dynamic Equations on Time Scales, Birkh user, Boston, 2003.
[5] S. Hilger, Analysis on measure chains - A unified approach to continuous and discrete calculus, Results Math. 18 (1990) 18-56.
[6] H. Huang and Q.R. Wang, Oscillation of second-order nonlinear dynamic equations on time scales, Dynam. Syst. Appl. 17 (2008) 551-570.
[7] Kubiaczyk, S. H. Saker and A.Sikorska, oscillation criteria for nonlinear neutral functional dynamic equations on time scales., Math. Slovaca 63 (2013) 263-290.
[8] Y. Sahiner, Oscillation of second-order delay differential equations on time scales, Nonlinear Anal. 63 (2005) 1073-1318.
[9] S. H. Saker, Oscillation of second-order nonlinear neutral delay dynamic equations on time scales, J. Comput. Appl. Math. 187 (2006) 123-141.
[10] S. H. Saker, R.P. Agarwal and Donal O’Regan, Oscillation results for second-order nonlinear neutral delay dynamic equations on time scales, Appl. Anal. 86 (2007) 1-17.
[11] H. W. Wu, R.K. Zhuang and R. M. Mathsen, Oscillation criteria for second-order nonlinear neutral variable delay dynamic equations, Appl. Math. Comput. 173 (2006) 321-331.
[12] Shao-Yan Zhang and Qi-Ru Wang, Oscillation of second-order nonlinear neutral dynamic equations on time scales., Applied Math. and Computation, 216 (2010) 2837-2848.

Citation :

H.A.Agwa, Ahmed M.M. Khodier, M.Hamam, "Oscillation of second-order nonlinear delay dynamic equations on time scales," International Journal of Mathematics Trends and Technology (IJMTT), vol. 31, no. 2, pp. 63-82, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V31P515

  • PDF
  • Abstract
  • Keywords
  • References
  • Citation
Abstract Keywords References Citation
  • Home
  • Authors Guidelines
  • Paper Submission
  • APC
  • Archives
  • Downloads
  • Open Access
  • Publication Ethics
  • Copyrights Infringement
  • Journals
  • FAQ
  • Contact Us

Follow Us

Copyright © 2025 Seventh Sense Research Group® . All Rights Reserved