About the behaviour at infinity of solutions of \(x'(t)=f(t-1,x(t-1))-f(t,x(t))\).

DOI10.1016/0022-247X(83)90051-3zbMath0527.34066MaRDI QIDQ786305

P. Seguier, Ovide Arino

Publication date: 1983

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

zbMATH Keywords

monotonicityfirst integralasymptotic constancyscalar equationcomparison of solutions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Related Items (11)

Asymptotic behavior of solutions to a class of non-autonomous delay differential equations ⋮ Asymptotic behavior of solutions to a class of systems of delay differential equations ⋮ A generalization of the Bernfeld-Haddock conjecture ⋮ A generalization of the Haddock conjecture and its proof ⋮ Oscillations in vector spaces: A comparison result for monotone delay differential systems ⋮ Uniqueness for quasimonotone systems with strongly monotone first integral ⋮ Convergence of a class of discrete-time semiflows with application to neutral delay differential equations ⋮ New generalization of the two-dimensional Bernfeld-Haddock conjecture and its proof ⋮ Convergence of bounded solutions for a class of systems of delay differential equations ⋮ A generalization of the three-dimensional Bernfeld-Haddock conjecture and its proof ⋮ On the asymptotic behavior of solutions of some delay differential systems which have a first integral

Cites Work

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• Some equations modelling growth processes and gonorrhea epidemics
• Solutions of x'(t) = f(x(t),x(t − L) have limits when f is an order relation
• The Theorems of Bony and Brezis on Flow-Invariant Sets

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