Electron. J. Diff. Eqns., Vol. 2004(2004), No. 117, pp. 1-6.

On the instability of certain sixth-order nonlinear differential equations

Cemil Tunc

Abstract:
In this paper, we give an instability criteria for the nonlinear sixth-order vector differential equation
$$\displaylines{ X^{(6)} + AX^{(5)} +B(t)\Phi (X,\dot {X},\ddot {X}, X^{(3)},X^{(4)},X^{(5)})X^{(4)} + C(t)\Psi (\ddot {X}),X^{(3)}\cr +D(t)\Omega (X,\dot {X},\ddot {X},X^{(3)},X^{(4)},X^{(5)}) \ddot {X}+E(t)G(\dot {X})+H(X) = 0\,. }$$
The result extends and includes earlier results [6,16,20].

Submitted July 13, 2004. Published October 7, 2004.
Math Subject Classifications: 34D05, 34D20.
Key Words: Nonlinear differential equations of sixth order; instability; Lyapunov function.

Show me the PDF file (173K), TEX file, and other files for this article.

Cemil Tunç
Department of Mathematics
Faculty of Arts and Sciences
Yüzüncü Yil University
65080, VAN -- Turkey
email: cemtunc@yahoo.com

Return to the EJDE web page