Convergence and stability for essentially strongly order-preserving semiflows

DOI10.1016/j.jde.2005.04.002zbMath1098.34027OpenAlexW2059798981MaRDI QIDQ818429

Taishan Yi, Li-Hong Huang

Publication date: 20 March 2006

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2005.04.002

zbMATH Keywords

stabilitydelay differential equationsquasiconvergenceorder-preserving semiflowreaction-diffusion equations with delay

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Monotone systems involving ordinary differential equations (34C12) Monotone flows as dynamical systems (37C65)

Related Items (5)

Quasimonotone random and stochastic functional differential equations with applications ⋮ Dynamics of smooth essentially strongly order-preserving semiflows with application to delay differential equations ⋮ Unnamed Item ⋮ New generic quasi-convergence principles with applications ⋮ Convergence for essentially strongly increasing discrete time semi-flows

Cites Work

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• Monotone semiflows generated by functional differential equations
• A deterministic model in biomathematics. Asymptotic behavior and threshold conditions
• Strongly order preserving semiflows generated by functional differential equations
• Domains of attraction of generic \(\omega\)-limit sets for strongly monotone semiflows
• Convergence to cycles as a typical asymptotic behavior in smooth strongly monotone discrete-time dynamical systems
• A deterministic model for gonorrhea in a nonhomogeneous population
• Semilinear functional differential equations in Banach space
• On the \({\omega}\)-limit set dichotomy of cooperating Kolmogorov systems
• Convergence to equilibrium on invariant \(d\)-hypersurfaces for strongly increasing discrete-time semigroups
• Theory and applications of partial functional differential equations
• Convergence in smooth strongly monotone flows defined by semilinear parabolic equations
• Exponential separation and invariant bundles for maps in ordered Banach spaces with applications to parabolic equations
• Monotone semiflows in scalar non-quasi-monotone functional differential equations
• Stability and convergence in strongly monotone dynamical systems.
• Abstract Functional Differential Equations and Reaction-Diffusion Systems
• Asymptotic behavior of discrete-time semigroups of sublinear, strongly increasing mappings with applications to biology
• Quasi Convergence and Stability for Strongly Order-Preserving Semiflows
• Global stability for mixed monotone systems
• Cooperative systems of differential equations with concave nonlinearities
• Systems of Differential Equations that are Competitive or Cooperative II: Convergence Almost Everywhere
• Convergence for Strongly Order-Preserving Semiflows
• Monotone Semiflows Generated by Neutral Functional Differential Equations With Application to Compartmental Systems
• Existence and Stability for Partial Functional Differential Equations
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• CONVERGENCE IN MONOTONE AND SUBHOMOGENEOUS DISCRETE DYNAMICAL SYSTEMS ON PRODUCT BANACH SPACES
• Sublinear discrete-time order-preserving dynamical systems
• Convergence in the part metric for discrete dynamical systems in ordered topological cones

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