A note on the convergence of the solutions of a linear functional differential equation

DOI10.1016/0022-247X(90)90427-HzbMath0693.45012WikidataQ115364504 ScholiaQ115364504MaRDI QIDQ908474

Tibor Krisztin

Publication date: 1990

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

Full work available at URL: https://eudml.org/doc/49279

zbMATH Keywords

convergencecritical caseasymptotic behaviourfunctional- differential equationlinear functional differential equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Asymptotics of solutions to integral equations (45M05)

Related Items (7)

Convergence of the solutions of the equation \(\dot y(t) = \beta(t)[y(t-\delta)-y(t-\tau)\) in the critical case] ⋮ Asymptotical convergence of the solutions of a linear differential equation with delays ⋮ Unnamed Item ⋮ Asymptotic equilibrium for homogeneous delay linear differential equations with l-perturbation term ⋮ More on linear differential systems with small delays ⋮ Convergence of solutions of nonhomogeneous linear difference systems with delays ⋮ Asymptotic constancy for a system of impulsive pantograph equations

Cites Work

• Existence and stability of solutions of a delay-differential system
• On the convergence of solutions of functional differential equations with infinite delay
• Lyapunov-Razumikhin functions and the asymptotic properties of the autonomous functional differential equations with infinite delay
• On the asymptotic stability of solutions of Volterra integro-differential equations
• Uniform asymptotic stability of a class of integro-differential systems
• Connections between compartmental systems with pipes and integro-differential equations
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