Instability results for slowly time varying linear dynamic systems on time scales

DOI10.1016/J.JMAA.2006.06.045zbMath1114.34039OpenAlexW2007562422MaRDI QIDQ864643

Jeffrey J. DaCunha

Publication date: 12 February 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.06.045

zbMATH Keywords

stabilitylinear systemtime scaleslowly varying

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Linear ordinary differential equations and systems (34A30) Difference equations, scaling ((q)-differences) (39A13) Asymptotic properties of solutions to ordinary differential equations (34D05) Partial difference equations (39A14)

Related Items (7)

Stability criteria for Volterra integrodynamic system ⋮ Nonuniform power instability and Lyapunov sequences ⋮ Instability in Linear Cooperative Systems of Ordinary Differential Equations ⋮ On the topological classification of dynamic equations on time scales ⋮ Hölder regularity of Grobman-Hartman theorem for dynamic equations on measure chains ⋮ Uniform eventual Lipschitz stability of impulsive systems on time scales ⋮ On the stability of a class of slowly varying systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dynamic equations on time scales: A survey
• Stability for time varying linear dynamic systems on time scales
• A spectral characterization of exponential stability for linear time-invariant systems on time scales
• On the stability of slowly time-varying linear systems
• Inequalities on Time Scales: A Survey
• Instability of slowly varying systems
• On the Stability of a Second-Order Differential Equation

This page was built for publication: Instability results for slowly time varying linear dynamic systems on time scales