New class of perturbations for nonuniform exponential dichotomy roughness

DOI10.1016/j.jde.2024.02.041OpenAlexW4392743185MaRDI QIDQ6130252

Felipe Poblete, Manuel Pinto, Yong-Hui Xia

Publication date: 2 April 2024

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

Full work available at URL: https://doi.org/10.1016/j.jde.2024.02.041

zbMATH Keywords

Banach spacesrobustnessroughnessdifferential equationsexponential dichotomyintegral inequalities

Mathematics Subject Classification ID

Stability theory for ordinary differential equations (34Dxx) Qualitative theory for ordinary differential equations (34Cxx) Differential equations in abstract spaces (34Gxx)

Cites Work

• Unnamed Item
• Unnamed Item
• Equivalences between nonuniform exponential dichotomy and admissibility
• Topological conjugacies and behavior at infinity
• Nonuniform dichotomy spectrum and normal forms for nonautonomous differential systems
• \(h\)-asymptotic stability by fixed point in neutral nonlinear differential equations with delay
• Stable manifolds for nonautonomous equations without exponential dichotomy
• Robustness of nonuniform exponential dichotomies in Banach spaces
• Existence and roughness of exponential dichotomies of linear dynamic equations on time scales
• Exponential dichotomies and homoclinic orbits in functional differential equations
• Geometric theory of semilinear parabolic equations
• Topological equivalence and structural stability for linear difference equations
• Dichotomies in stability theory
• Robustness of exponential dichotomies in infinite-dimensional dynamical systems
• Dichotomies for linear evolutionary equations in Banach spaces
• Transversality of homoclinic orbits and exponential dichotomies for parabolic equations
• Exponential dichotomies and transversal homoclinic points
• Exponential dichotomies for dynamic equations on measure chains.
• A topological classification of linear differential equations on Banach spaces
• Roughness of \((h,k)\)-dichotomies
• The Fredholm alternative and exponential dichotomies for parabolic equation
• Evolution equations: Dichotomies and the Fredholm alternative for bounded solutions
• Existence and roughness of the exponential dichotomy for skew-product semiflow in Banach spaces
• Dichotomies and asymptotic formulas for the solutions of differential equations
• Roughness of tempered exponential dichotomies for infinite-dimensional random difference equations
• Exponential dichotomy and trichotomy for difference equations
• Nonuniform mean-square exponential dichotomies and mean-square exponential stability
• Approximation of mild solutions of delay differential equations on Banach spaces
• Robustness for linear evolution equations with non-instantaneous impulsive effects
• Nonuniform exponential dichotomies and Lyapunov regularity
• Stability of nonautonomous differential equations
• Exponential dichotomy roughness on Banach spaces
• Admissibility and roughness of nonuniform exponential dichotomies for difference equations
• Uniform exponential dichotomy of stochastic cocycles
• Admissible perturbations of exponential dichotomy roughness
• Dynamics of evolutionary equations

This page was built for publication: New class of perturbations for nonuniform exponential dichotomy roughness