Remarks on strongly flow-invariant sets

DOI10.1016/0022-247X(87)90223-XzbMath0657.34045OpenAlexW2061440050MaRDI QIDQ1110703

Fabio Zanolin, M. Lourdes C. Fernandes

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0022-247x(87)90223-x

zbMATH Keywords

autonomous systemExamplesBony's theoremstrong flow-invariance

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX)

Related Items (10)

Nonlinear Markov chains with finite state space: invariant distributions and long-term behaviour ⋮ Repelling conditions for boundary sets using Lyapunov-like functions. II: Persistence and periodic solutions ⋮ An existence theorem for periodic solutions in convex sets with applications ⋮ Repelling conditions for boundary sets using Liapunov-like functions. I: Flow-invariance, terminal value problem and weak persistence ⋮ Linear cone-invariant control systems and their equivalence ⋮ Permanence and the dynamics of biological systems ⋮ Computing Capture Tubes ⋮ Uniform repellers for processes with applications to periodic differential systems ⋮ Uniformly Persistent Semidynamical Systems ⋮ A permanence theorem for local dynamical systems

Cites Work

• Persistence in models of three interacting predator-prey populations
• A theorem on average Liapunov functions
• Global stability and persistence of simple food chains
• Permanent coexistence in general models of three interacting species
• Persistence in a model of three competitive populations
• Existence and uniqueness results for periodic solutions of differential systems with application to the competing species problem
• Persistence in food webs - I. Lotka-Volterra food chains
• A general cooperation theorem for hypercycles
• Mathematical analysis of some three-species food-chain models
• Dynamical systems under constant organization. III: Cooperative and competitive behaviour of hypercycles
• Analysis of invariant sets
• Principe du maximum, inégalité de Harnack et unicité du problème de Cauchy pour les opérateurs elliptiques dégénérées
• On flow-invariant sets
• A Generalization of Peano's Existence Theorem and Flow Invariance
• Strongly flow-invariant sets
• Nonlinear Aspects of Competition Between Three Species
• Über die positive Invarianz einer abgeschlossenen Teilmenge eines Banachschen Raumes bezüglich der Differentialgleichung u' = f(t, u).
• Flow-invariant sets and differential inequalities in normed spaces^†
• Persistent sets via Lyapunov functions
• Invariance for ordinary differential equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Remarks on strongly flow-invariant sets