An application of topological dynamics to obtain a new invariance property for nonautonomous ordinary differential equations

DOI10.1016/0022-0396(75)90044-3zbMath0431.34033OpenAlexW2033329370MaRDI QIDQ1138141

David R. Wakeman

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1016/0022-0396(75)90044-3

zbMATH Keywords

invariant setsomega-limit setsinvariance properties for nonautonomous ordinary differential equations

Mathematics Subject Classification ID

Related Items (14)

On upper estimates for the Hausdorff dimension of negatively invariant sets of local cocycles ⋮ Stability of nonautonomous systems ⋮ Stability, observability and invariance ⋮ Upper estimates for the Hausdorff dimension of negatively invariant sets of local cocycles ⋮ Existence of dichotomies and invariant splittings for linear differential systems. I ⋮ Invariance properties for ordinary differential equations: Stability and instability ⋮ Topological dynamics of an ordinary differential equation ⋮ Topological dynamics of ordinary differential equations and Kurzweil equations ⋮ The limiting equations of nonautonomous ordinary differential equations ⋮ Invariance and stability for ordinary differential equations ⋮ On global trajectory tracking control of robot manipulators in cylindrical phase space ⋮ On the Stability and Stabilization Problems of Volterra Integro-Differential Equations ⋮ The topological dynamics of perturbed differential equations ⋮ On asymptotic stability and instability

Cites Work

• Global asymptotic stability for nonlinear systems of differential equations and applications to reactor dynamics
• Almost periodic differential equations as dynamical systems with applications to the existence of a.p. solutions
• Stability theory for ordinary differential equations
• Existence, uniqueness and continuity of solutions of integral equations
• Dynamical systems and stability
• Exponentially stable integral manifolds, averaging principle and continuous dependence on a parameter
• Volterra integral equations and topological dynamics
• Invariance Properties in the Theory of Ordinary Differential Equations with Applications to Stability Problems
• Invariance and Stability for Bounded Uncertain Systems
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