The topological dynamics of perturbed differential equations

DOI10.1016/0362-546X(84)90005-1zbMath0567.34054OpenAlexW2057298797MaRDI QIDQ3682832

Stephen H. Saperstone

Publication date: 1984

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(84)90005-1

zbMATH Keywords

perturbationsnonautonomous differential equation

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Cites Work

• An application of topological dynamics to obtain a new invariance property for nonautonomous ordinary differential equations
• Semidynamical systems in infinite dimensional spaces
• Lyapunov theory and perturbation of stable and asymptotically stable systems
• Topological dynamics of an ordinary differential equation
• The limiting equations of nonautonomous ordinary differential equations
• Uniform asymptotic stability via the limiting equations
• Perturbing uniform asymptotically stable nonlinear systems
• A generalization of Vinograd's theorem for dynamical systems
• Differential equations without uniqueness and classical topological dynamics
• Integral stability
• Continuous Dependence of Solutions of Volterra Integral Equations
• Perturbing almost periodic differential equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The topological dynamics of perturbed differential equations