Stability in functional differential equations with infinite delay

DOI10.2748/tmj/1178228596zbMath0566.34058OpenAlexW2040342698MaRDI QIDQ1059206

Satoru Murakami

Publication date: 1985

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178228596

zbMATH Keywords

integro-differential equationsasymptotic stabilityfunctional differential equations with infinite delaymethod of Lyapunov-Razumikhin type

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Stability of solutions to ordinary differential equations (34D20)

Related Items (9)

Stability of fractionally dissipative 2D quasi-geostrophic equation with infinite delay ⋮ Method of limiting equations for the stability analysis of equations with infinite delay in the Carathéodory conditions. I ⋮ On solution semigroups of general functional differential equations ⋮ Existence of a periodic solution for some partial functional differential equations with infinite delay ⋮ Development and application of Halanay-type theory: Evolutionary differential and difference equations with time lag ⋮ Stability results for 2D Navier-Stokes equations with unbounded delay ⋮ Stability properties of linear Volterra equations ⋮ Families of Lyapunov-Krasovskiĭ functionals and stability for functional-differential equations ⋮ The method of Lyapunov-Razumikhin functions in stability analysis of systems with delay

Cites Work

• Existence and stability of solutions of a delay-differential system
• Stability and boundedness in functional differential equations
• Comparison method and stability problem in functional differential equations
• Liapunov-Razumikhin conditions for asymptotic stability in functional differential equations of Volterra type
• Differential equations: Stability, oscillations, time lags
• Asymptotic stability properties of linear Volterra integrodifferential equations
• Liapunov-Razumikhin conditions for stability and boundedness of functional differential equations of Volterra type
• The application of Lyapunov's method to problems in the stability of systems with delay
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