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 $...
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 |
Similar Items
-
Liapunov-type integral inequalities for certain higher-order differential equations
Published: (2009-02-01) -
Linear Stability with Respect to the Initial Value Perturbations in the Presence of Solutions of the Linearized Equation Having Strictly Positive Exponential Growth Ra
by: Stefan BALINT, et al.
Published: (2016-03-01) -
Nonsmooth Bifurcations and the Role of Density Dependence in a Chaotic Infectious Disease Model
by: Hughes, Ryan Patrick
Published: (2020) -
Estabilidade de Liapunov e derivada radial
by: Gerard John Alva Morales
Published: (2014) -
Estabilidade de Liapunov e derivada radial
by: Alva Morales, Gerard John
Published: (2014)