Global dynamics of strongly monotone retarded equations with infinite delay

DOI10.1216/jiea/1181075685zbMath0758.34059OpenAlexW1995072441MaRDI QIDQ1195356

Jianhong Wu

Publication date: 26 October 1992

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jiea/1181075685

zbMATH Keywords

convergenceinfinite delayheteroclinic orbitsglobal dynamicsexamplesspectral informationeventually strongly monotone semiflowfunctional delay differential equationschistosomiasis japonicumstrongly monotone solution operator

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Integro-ordinary differential equations (45J05) Population dynamics (general) (92D25) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99) Dynamical systems and ergodic theory (37-XX)

Related Items (8)

Comparison theorems for neutral stochastic functional differential equations ⋮ Global dynamics for Lotka-Volterra systems with infinite delay and patch structure ⋮ Heteroclinic orbits and convergence of order-preserving set-condensing semiflows with applications to integrodifferential equations ⋮ Persistence and permanence for a class of functional differential equations with infinite delay ⋮ Stability and extensibility results for abstract skew-product semiflows ⋮ Quasimonotone random and stochastic functional differential equations with applications ⋮ Spatiotemporal mutualistic model of mistletoes and birds ⋮ Global attractivity in concave or sublinear monotone infinite delay differential equations

Cites Work

• Positive operators and elliptic eigenvalue problems
• Quasimonotone systems and convergence to equilibrium in a population genetic model
• A folk theorem in the spectral theory of \(C_ 0\)-semigroups
• Monotone semiflows generated by functional differential equations
• Asymptotic behavior and stability of solutions of semilinear diffusion equations
• Some considerations to the fundamental theory of infinite delay equations
• On the initial value problem for a class of functional-differential equations
• On autonomous linear functional differential equations with infinite retardations
• On eradication of schistosomiasis
• Theory of functional differential equations. 2nd ed
• Togetherness among schistosomes: Its effects on the dynamics of the infection
• On linear autonomous retarded equations with an abstract phase space for infinite delay
• Existence and continuous dependence for functional-differential equations with unbounded delay
• Dynamical systems with memory on history-spaces with monotonic seminorms
• Norms and semi-groups in the theory of fading memory
• On the general theory of fading memory
• Dynamical systems and stability
• On the stability of solutions of functional-differential equations
• Stability and convergence in strongly monotone dynamical systems.
• The dynamical systems approach to differential equations
• Qualitative analysis of nonlinear quasi-monotone dynamical systems described by functional-differential equations
• Invariant Curves for Mappings
• Periodic Solutions of Periodic Competitive and Cooperative Systems
• Systems of Differential Equations that are Competitive or Cooperative II: Convergence Almost Everywhere
• Hilbert’s projective metric and iterated nonlinear maps
• Monotone Semiflows Generated by Neutral Functional Differential Equations With Application to Compartmental Systems
• A model for the parasitic disease bilharziasis
• The transmission dynamics of schistosomiasis
• Volterra integral and differential equations
• The radius of the essential spectrum
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Global dynamics of strongly monotone retarded equations with infinite delay