Liapunov exponents for higher-order linear differential equations whose characteristic equations have variable real roots

We consider the linear differential equation $$ sum_{k=0}^n a_k(t)x^{(n-k)}(t)=0quad tgeq 0, ; ngeq 2, $$ where $a_0(t)equiv 1$, $a_k(t)$ are continuous bounded functions. Assuming that all the roots of the polynomial $z^n+a_1(t)z^{n-1}+ dots +a_n(t)$ are real and satisfy the inequality $...

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Bibliographic Details
Main Author: Michael I. Gil
Format: Article
Language:English
Published: Texas State University 2008-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2008/54/abstr.html