Instability results for certain third order nonlinear vector differential equations

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tunc.pdf (210.84 KB)
Date
2006-09-11
Authors
Tunc, Cemil
Tunc, Ercan
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
Our goal in this paper is to obtain sufficient conditions for instability of the zero solution to the non-linear vector differential equation X˙˙˙ + F(X, Ẋ) Ẍ + G(Ẋ) + H(X) = 0. An example illustrates the results obtained.
Description
Keywords
Instability, Lyapunov's second (or direct) method, Nonlinear differential equations of third order
Citation
Tunç, C., & Tunç, E. (2006). Instability results for certain third order nonlinear vector differential equations. <i>Electronic Journal of Differential Equations, 2006</i>(109), pp. 1-10.
URI
https://hdl.handle.net/10877/13982
Collections
Electronic Journal of Differential Equations