Oscillation criterion for two-dimensional dynamic systems on time scales

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Published: Oct 18, 2012
DOI: https://doi.org/10.5556/j.tkjm.44.2013.1189
Keywords:
Oscillation dynamic system time scales

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Taher Hassan

Abstract

The purpose of this paper is to prove oscillation criterion for dynamic system \begin{equation*} u^{\Delta }=pv,\qquad v^{\Delta }=-qu^{\sigma }, \end{equation*}% where $p>0$ and $q$ are rd-continuous functions on a time scale such that $% \sup \mathbb{T=\infty }$ without explicit sign assumptions on $q$ and also without restrictive conditions on the time scale $\mathbb{T}.$

Article Details

How to Cite
Hassan, T. (2012). Oscillation criterion for two-dimensional dynamic systems on time scales. Tamkang Journal of Mathematics, 44(3), 227–232. https://doi.org/10.5556/j.tkjm.44.2013.1189
Issue
Vol. 44 No. 3 (2013)
Section
Papers
Author Biography

Taher Hassan

Department ofMathematics, Faculty of Science,Mansoura University,Mansoura, 35516, Egypt. Department ofMathematics, Faculty of Science, Hail University, KSA.

References

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