Dichotomies and Lyapunov functions

DOI10.1016/0022-0396(84)90134-7zbMath0488.34042OpenAlexW1982984837MaRDI QIDQ1166005

William Andrew Coppel

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0022-0396(84)90134-7

zbMATH Keywords

Lyapunov functionsexponential dichotomiesLyapunov's method

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20)

Related Items (10)

Lyapunov type characterization of hyperbolic behavior ⋮ Exponential dichotomies, almost periodic structurally stable differential systems, and an example ⋮ Green-Samoilenko function of linear extensions of dynamical systems on a torus ⋮ One-sided hyperbolicity via evolution maps ⋮ Nonuniform exponential dichotomies and Lyapunov functions ⋮ Riccati inequality and functional properties of differential operators on the half line ⋮ Exponential trichotomy and a class of ergodic solutions of differential equations with ergodic perturbations ⋮ Dichotomies in terms of Lyapunov functions for linear difference equations ⋮ Lyapunov-type characterisation of exponential dichotomies with applications to the heat and Klein–Gordon equations ⋮ Riccati differential inequalities and dichotomies for linear systems

Cites Work

• Dichotomies in stability theory
• Quadratic forms and dichotomy of solutions of systems of linear differential equations
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