On Caratheodory conditions for functional differential equations with infinite delays

DOI10.1216/RMJ-1982-12-4-615zbMath0503.34038OpenAlexW2014367808MaRDI QIDQ1173205

George Seifert

Publication date: 1982

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-1982-12-4-615

Mathematics Subject Classification ID

General theory of functional-differential equations (34K05) Banach spaces of continuous, differentiable or analytic functions (46E15)

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Neutral stochastic functional differential equations with infinite delay and Poisson jumps in the \(C_g\) space ⋮ Periodic solutions to functional differential equations ⋮ Stability property and phase space ⋮ Method of limiting equations for the stability analysis of equations with infinite delay in the Carathéodory conditions. I ⋮ Continuity in functional differential equations with infinite delay ⋮ Local theory for retarded equations with infinite delay^∗ ⋮ The existence and uniqueness of the solution for neutral stochastic functional differential equations with infinite delay in abstract space ⋮ On the location of positive limit sets for autonomous functional differential equations with infinite delay ⋮ Lyapunov characterizations on input-to-state stability of nonlinear systems with infinite delays ⋮ Global stability for infinite-delay, dispersive Lotka-Volterra systems: Weakly interacting populations in nearly identical patches

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