Positively invariant sets for functional differential equations with infinite delay

DOI10.2748/tmj/1178229540zbMath0471.34056OpenAlexW1981632719MaRDI QIDQ1157455

Kensuke Sawano

Publication date: 1980

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178229540

zbMATH Keywords

special approximate solutions

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Stability of solutions to ordinary differential equations (34D20)

Related Items (9)

\(p\)-attracting and \(p\)-invariant sets for a class of impulsive stochastic functional differential equations ⋮ Attracting and invariant sets of nonlinear stochastic neutral differential equations with delays ⋮ Stability of invariant sets of Itô stochastic differential equations with Markovian switching ⋮ Quasimonotone random and stochastic functional differential equations with applications ⋮ Lyapunov functional method in the stability problem of Volterra integro-differential equations with infinite delay ⋮ Attracting and invariant sets for a class of impulsive functional differential equations ⋮ Invariant and attracting set of fuzzy cellular neural networks with variable delays ⋮ On the Stability and Stabilization Problems of Volterra Integro-Differential Equations ⋮ Invariant set and attractivity of nonlinear differential equations with delays

Cites Work

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• A Generalization of Peano's Existence Theorem and Flow Invariance
• Existence and uniqueness of solutions of delay differential equations on a closed subset of a Banach space
• Existence of solutions in a closed set for delay differential equations in Banach spaces
• On Invariant Sets and on a Theorem of Wazewski
• On a characterization of flow‐invariant sets
• Differential inequalities and non-lipschitz scalar functions

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