Asymptotic equivalence of neutral and infinite retarded differential equations

DOI10.1016/0362-546X(90)90171-CzbMath0714.34116OpenAlexW1985766336MaRDI QIDQ3199856

Tibor Krisztin, Jianhong Wu, John R. Haddock

Publication date: 1990

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(90)90171-c

zbMATH Keywords

neutral functional-differential equationsasymptotic equilibriumretarded functional-differential equations with infinite delay

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Asymptotic theory of functional-differential equations (34K25) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Related Items (13)

Asymptotic equivalence of differential equations and asymptotically almost periodic solutions ⋮ Asymptotic equivalence of alternately advanced and delayed differential systems with piecewise constant generalized arguments ⋮ Attracting and invariant sets of nonlinear neutral differential equations with delays ⋮ Convergence theorems and asymptotic integration for functional differential equations ⋮ Asymptotic behavior of solutions of nonautonomous neutral dynamical systems ⋮ Convergence of a class of discrete-time semiflows with application to neutral delay differential equations ⋮ Asymptotic constancy for pseudo monotone dynamical systems on function spaces ⋮ Global stability of a price model with multiple delays ⋮ Asymptotic equivalence of nonlinear and quasi linear differential equations with piecewise constant arguments ⋮ Asymptotic behavior of linear impulsive integro-differential equations ⋮ Global continua of periodic solutions to some difference-differential equations of neutral type ⋮ Asymptotic behavior of solutions for a class of nonlinear difference equations ⋮ Convergence of solutions for a class of neutral difference equations

Cites Work

• On the convergence of solutions of functional differential equations with infinite delay
• A neutral FDE with stable D-operator is retarded
• Solutions of x'(t) = f(x(t),x(t − L) have limits when f is an order relation
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