A New Instability Result to Nonlinear Vector Differential Equations of Fifth Order

Cemil Tunç and Melike Karta

Discrete Dynamics in Nature and Society, 2008, vol. 2008, 1-6

Abstract:

By constructing a Lyapunov function, a new instability result is established, which guarantees that the trivial solution of a certain nonlinear vector differential equation of the fifth order is unstable. An example is also given to illustrate the importance of the result obtained. By this way, our findings improve an instability result related to a scalar differential equation in the literature to instability of the trivial solution to the afore-mentioned differential equation.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:971534

DOI: 10.1155/2008/971534

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