Asymptotic Instability of Nonlinear Differential Equations
Date
1997-10-15
Authors
Avis, Rafael
Naulin, Raul
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
This article shows that the zero solution to the system
x' = A(t)x + ƒ(t, x), ƒ(t, 0) = 0
is unstable. To show instability, we impose conditions on the nonlinear part ƒ(t, x) and on the fundamental matrix of the linear system y' = A(t)y. Our results generalize the instability results obtained by J. M. Bownds, Hatvani-Pintér, and K. L. Chiou.
Description
Keywords
Liapunov instability, h-Stability
Citation
Avis, R. & Naulin, R. (1997). Asymptotic instability of nonlinear differential equations. <i>Electronic Journal of Differential Equations, 1997</i>(16), pp. 1-7.
Rights
Attribution 4.0 International