On the convergence of solutions of functional differential equations with infinite delay

DOI10.1016/0022-247X(85)90165-9zbMath0586.34061MaRDI QIDQ1071934

Tibor Krisztin

Publication date: 1985

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

zbMATH Keywords

Lyapunov functionsdifferential inequalitiesApplicationsfunctional differential equations with infinite delay

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) General theory of functional-differential equations (34K05) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Related Items

Asymptotic equivalence of neutral and infinite retarded differential equations ⋮ Unbounded solutions of the equation \(\dot y(t)=\sum_{i=1}^n\beta_i(t)[y(t-\delta_i)-y(t-\tau_i)\)] ⋮ A note on the convergence of the solutions of a linear functional differential equation ⋮ Asymptotic equilibrium for homogeneous delay linear differential equations with l-perturbation term ⋮ More on linear differential systems with small delays ⋮ Asymptotic convergence criteria of solutions of delayed functional differential equations

Cites Work

• Existence and stability of solutions of a delay-differential system
• Some considerations to the fundamental theory of infinite delay equations
• The limiting behavior of solutions of infinite delay differential equations
• Stability properties of Volterra integrodifferential equations
• Liapunov-Razumikhin conditions for asymptotic stability in functional differential equations of Volterra type
• Some equations modelling growth processes and gonorrhea epidemics
• On the asymptotic stability of solutions of functional-differential equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item