Cooperative random and stochastic differential equations

DOI10.3934/DCDS.2001.7.1zbMath1017.37026OpenAlexW2024788142MaRDI QIDQ1864077

Ludwig Arnold, Igor D. Chueshov

Publication date: 16 March 2003

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2001.7.1

zbMATH Keywords

limit set trichotomylong-term behaviorrandom attractorrandom equilibriumcooperative differential equationmodels of controlorder-preserving or monotone random dynamical system

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic stability in control theory (93E15) Ordinary differential equations and systems with randomness (34F05) Generation, random and stochastic difference and differential equations (37H10) Random linear operators (47B80)

Related Items (8)

Stability and extensibility results for abstract skew-product semiflows ⋮ Necessary and sufficient conditions for the existence of equilibrium in abstract non-autonomous functional differential equations ⋮ Strictly ordered minimal subsets of a class of convex monotone skew-product semiflows. ⋮ Skew-product semiflows for non-autonomous partial functional differential equations with delay ⋮ Minimal sets in monotone and sublinear skew-product semiflows. II: Two-dimensional systems of differential equations ⋮ A note on equilibrium of eventually strongly monotone skew-product semiflows ⋮ Attractor minimal sets for cooperative and strongly convex delay differential systems ⋮ Global attractivity in concave or sublinear monotone infinite delay differential equations

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