In this paper, study the system of differential equations
We find sufficient conditions for the zero solution to be unstable, and to be the only periodic solution.
Submitted March 14, 2005. Published May 11, 2005.
Math Subject Classifications: 34D20, 34C25, 34A34.
Key Words: Nonlinear differential equations of third order; instability; periodic solution; Lyapunov's method.
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| Ercan Tunc |
Faculty of Arts and Sciences
Department of Mathematics
Gaziosmanpas a University
60240, Tokat, Turkey
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