On the instability of certain sixth-order nonlinear differential equations

Date

2004-10-07

Authors

Tunc, Cemil

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University-San Marcos, Department of Mathematics

Abstract

In this paper, we give an instability criteria for the nonlinear sixth-order vector differential equation X(6) + AX(5) + B(t) Φ (X, Ẋ, Ẍ,...X, X(4), X(5)) X(4) + C(t) Ψ (Ẍ) ...X + D(t) Ω (X, Ẋ, Ẍ,...X, X(4), X(5)) Ẍ + E(t) G(Ẋ) + H(X) = 0. The result extends and includes earlier results [6, 16, 20].

Description

Keywords

Nonlinear differential equations of sixth order, Instability, Lyapunov function

Citation

Tunc, C. (2004). On the instability of certain sixth-order nonlinear differential equations. <i>Electronic Journal of Differential Equations, 2004</i>(117), pp. 1-6.

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Attribution 4.0 International

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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