Open AccessAn instability theorem for a certain sixth order nonlinear delay differential equation
Author(s) -
Cemil Tunç
Publication year - 2012
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2011.12.006
Subject(s) - mathematics , instability , nonlinear system , differential equation , delay differential equation , order (exchange) , mathematical analysis , first order partial differential equation , physics , finance , quantum mechanics , mechanics , economics
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