On employment of semidefinite functions in stability of delayed equations

DOI10.1016/S0022-247X(03)00101-XzbMath1030.34074MaRDI QIDQ1399321

Nataliya O. Sedova

Publication date: 30 July 2003

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

zbMATH Keywords

stabilityasymptoticglobal asymptotic stabilitylimiting equationsLyapunov-Razumikhin techniquesnonautonomous functional-differential equations with finite delay

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20)

Related Items (4)

Boundedness and global exponential stability for generalized Cohen--Grossberg neural networks with variable delay ⋮ Development of the direct Lyapunov method for functional-differential equations with infinite delay ⋮ On the global exponential stability for functional differential equations ⋮ The method of Lyapunov-Razumikhin functions in stability analysis of systems with delay

Cites Work

• Stability properties for functional differential equations with infinite delay
• On the asymptotic stability and instability of the zeroth solution of a non-autonomous system
• Stability of functional differential equations
• Theory of functional differential equations. 2nd ed
• Uniform asymptotic stability via the limiting equations
• An investigation of partial asymptotic stability
• On the global stability of nonautonomous systems. I
• On the sign definiteness of Liapunov functionals and stability of a linear delay equation
• On the stability of nonautonomous functional differential equation
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