versión impresa ISSN 0716-0917
Proyecciones (Antofagasta) vol.30 no.1 Antofagasta 2011
Proyecciones Journal of Mathematics
Vol. 30, N° 1, pp. 43-50, May 2011.
Universidad Católica del Norte
Antofagasta - Chile
On the instability of solutions of an eighth order nonlinear differential equation of retarded type
Yüzüncü Yil University, Van Turkey
In this paper, we give some sufficient conditions on the instability of the zero solution of a kind of eighth order nonlinear differential equations of retarded type by using the Lyapunov direct method. The obtained sufficient conditions improve an existing result in the literature.
Key words : Instability; the Lyapunov direct method; delay differential equation; eighth order.
AMS Classification numbers : 34K20.
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Department of Mathematics
Faculty of Arts and Sciences
Yüzüncü Yil University
e-mail : firstname.lastname@example.org
Received : August 2010. Accepted : April 2011