Lyapunov-Razumikhin functions and an instability theorem for autonomous functional differential equations with finite delay

DOI10.1216/rmjm/1181072282zbMath0829.34068OpenAlexW1996106028MaRDI QIDQ1898312

Younhee Ko, John R. Haddock

Publication date: 17 January 1996

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072282

zbMATH Keywords

instabilityLyapunov-Razumikhin techniqueautonomous system of functional differential equations with finite delay

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20)

Related Items (5)

An instability theorem for a certain sixth order nonlinear delay differential equation ⋮ On the instability of solutions to a Liénard type equation with multiple deviating arguments ⋮ Global and Local Weighted Homogeneity for Time-Delay Systems ⋮ Lyapunov-Razumikhin pairs in the instability problem for infinite delay equations ⋮ The method of Lyapunov-Razumikhin functions in stability analysis of systems with delay

Cites Work

• Unnamed Item
• Liapunov-Razumikhin functions and an invariance principle for functional differential equations
• Stability and periodic solutions of ordinary and functional differential equations
• Dynamical systems and evolution equations. Theory and applications
• Theory of functional differential equations. 2nd ed
• Sufficient conditions for stability and instability of autonomous functional-differential equations

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