Causal operators and topological dynamics

DOI10.1007/BF01765144zbMath0501.45005OpenAlexW2007945010MaRDI QIDQ1172234

George L. Karakostas

Publication date: 1982

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01765144

zbMATH Keywords

Volterra integral operatorsasymptotic behavior of the solutionsabstract causal operatorsskew-product semi-flow

Mathematics Subject Classification ID

Related Items (13)

Global attractivity in a nonlinear difference equation ⋮ Oscillation in dynamical systems ⋮ Convergence in a neutral delay differential equation ⋮ The dynamics of some discrete population models ⋮ Oscillation via limiting equations ⋮ Dynamics of Discrete Operator Equations ⋮ Regular Operator Equations: Conditions for Regularity ⋮ Stable steady state of some population models ⋮ A continuous model for non-closed graded systems and its asymptotic character ⋮ Abstract Volterra equations: a survey ⋮ Existence results for some \(n\)-dimensional nonlocal boundary value problems ⋮ Asymptotic behavior of a certain functional equation via limiting equations ⋮ Oscillations of Volterra integral equations with delay

Cites Work

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• Asymptotic behavior of time-additive operator equations
• The limiting equations of nonautonomous ordinary differential equations
• Uniform asymptotic stability via the limiting equations
• Local semi-dynamical systems
• Asymptotic stability properties of linear Volterra integrodifferential equations
• On the solutions of certain integral-like operator equations. Existence, uniqueness and dependence theorems
• Differential equations without uniqueness and classical topological dynamics
• On the Asymptotic Behavior of the Bounded Solutions of a Nonlinear Volterra Equation
• Continuous Dependence of Solutions of Volterra Integral Equations
• Preservation of Uniform Asymptotic Stability Under Perturbations
• Continuous Dependence of Solutions of Operator Equations. I
• Lifting properties in skew-product flows with applications to differential equations
• Asymptotic behavior of solutions of nonlinear Volterra equations
• Volterra integral equations and topological dynamics
• On the existence and uniqueness of solutions of a certain integral-functional equation

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