On exponential decay and the Markus-Yamabe conjecture in infinite dimensions with applications to the Cima system

DOI10.1007/s10884-017-9598-yzbMath1407.34083OpenAlexW2735752116WikidataQ115603958 ScholiaQ115603958MaRDI QIDQ1994009

Marcio Gameiro, Hildebrando M. Rodrigues, Marco Antonio Teixeira

Publication date: 6 November 2018

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

Full work available at URL: https://doi.org/10.1007/s10884-017-9598-y

zbMATH Keywords

global asymptotic stabilityCima systemextension of a result of LyascenkoMarkus-Yamabe conjecture in infinite dimensions

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Stability of solutions to ordinary differential equations (34D20) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (3)

Stability problems in nonautonomous linear differential equations in infinite dimensions ⋮ Markus-Yamabe's conjecture for compact gradients in Hilbert spaces ⋮ The Markus-Yamabe conjecture does not hold for discontinuous piecewise linear differential systems separated by one straight line

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Linearization of class \(C^{1}\) for contractions on Banach spaces
• On the Hartman-Grobman theorem with parameters
• Dynamics of a class of ODEs more general than almost periodic
• Global asymptotic stability of differential equations in the plane
• Invertible contractions and asymptotically stable ODE's that are not \({\mathcal C}^1\)-linearizable
• Semigroups of linear operators and applications to partial differential equations
• On the spectrum of evolution operators generated by hyperbolic systems
• Properties of bounded solutions of linear and nonlinear evolution equations: Homoclinics of a beam equation
• On the relationship between exponential dichotomies and the Fredholm alternative
• Geometric theory of semilinear parabolic equations
• Dichotomies in stability theory
• An integrability condition on the resolvent for hyperbolicity of the semigroup
• A polynomial counterexample to the Markus-Yamabe conjecture
• Global asymptotic stability on Euclidean spaces
• Smooth linearization for a saddle on Banach spaces
• Evolution equations: Dichotomies and the Fredholm alternative for bounded solutions
• A solution to the bidimensional global asymptotic stability conjecture
• On Global Asymptotic Stability of Solutions of Differential Equations

This page was built for publication: On exponential decay and the Markus-Yamabe conjecture in infinite dimensions with applications to the Cima system