Inequalities and stability for a linear scalar functional differential equation

DOI10.1016/j.jmaa.2004.01.048zbMath1064.34062OpenAlexW2090537520WikidataQ115346365 ScholiaQ115346365MaRDI QIDQ1888212

Tingxiu Wang

Publication date: 23 November 2004

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.2004.01.048

zbMATH Keywords

stabilityfunctional-differential equationLyapunov functional

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Linear functional-differential equations (34K06) Growth, boundedness, comparison of solutions to functional-differential equations (34K12)

Related Items (8)

Uniform stability in nonlinear infinite delay Volterra integro-differential equations using Lyapunov functionals ⋮ Exponential stability and inequalities of solutions of abstract functional differential equations ⋮ On exponential stability of linear differential equations with several delays ⋮ Explicit exponential stability conditions for linear differential equations with several delays ⋮ Inequalities and exponential stability and instability in finite delay Volterra integro-differential equations ⋮ Exponential stability and instability in nonlinear differential equations with multiple delays ⋮ Inequalities and exponential decay in time varying delay differential equations ⋮ New stability conditions for linear differential equations with several delays

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stability and periodic solutions of ordinary and functional differential equations
• Theory of functional differential equations. 2nd ed
• Stability in abstract functional differential equations. II: Applications
• Annulus arguments in the stability theory for functional differential equations
• Stability conditions for linear nonautonomous delay differential equations
• Weakening the condition W1(|ø;(0)|) ≤ V(t, ø) ≤ W2(‖ø‖) for uniform asymptotic stability
• Sur la limitation des intégrales des systèmes d'équations différentielles linéaires ordinaires

This page was built for publication: Inequalities and stability for a linear scalar functional differential equation