Tunc, C. (2012). An instability theorem for a certain sixth order nonlinear delay differential equation. test, 20(1), 43-45. doi: 10.1016/j.joems.2011.12.006
Cemil Tunc. "An instability theorem for a certain sixth order nonlinear delay differential equation". test, 20, 1, 2012, 43-45. doi: 10.1016/j.joems.2011.12.006
Tunc, C. (2012). 'An instability theorem for a certain sixth order nonlinear delay differential equation', test, 20(1), pp. 43-45. doi: 10.1016/j.joems.2011.12.006
Tunc, C. An instability theorem for a certain sixth order nonlinear delay differential equation. test, 2012; 20(1): 43-45. doi: 10.1016/j.joems.2011.12.006

An instability theorem for a certain sixth order nonlinear delay differential equation

Journal of the Egyptian Mathematical Society
Volume 20, Issue 1, 2012, Pages 43-45    PDF (326.61 K)
DOI: 10.1016/j.joems.2011.12.006
Author
Cemil Tunc
Department of Mathematics, Faculty of Sciences, Yu¨zu¨ncu¨ Yıl University, 65080 Van, Turkey
Abstract
The aim of this paper is to establish an instability theorem for a certain sixth order nonlinear delay differential equation. The proof of the theorem is based on the use of Lyapunov  Krasovskii functional approach. By this work, we improve an instability result obtained in the literature for a certain sixth order nonlinear differential equation without delay to the instability of the zero solution of a certain sixth order nonlinear delay differential equation.

Keywords
Instability; Lyapunov–Krasovskii functional; Delay differential equation; Sixth order
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