Exponential Dichotomies for Almost Periodic Equations

DOI10.2307/2045998zbMath0664.34016OpenAlexW4253270276MaRDI QIDQ3814039

Kenneth James Palmer

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2045998

zbMATH Keywords

exponential dichotomymatrix function

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Asymptotic properties of solutions to ordinary differential equations (34D05) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Related Items (20)

The existence of almost periodic solution: via coincidence degree theory ⋮ Heteroclinic chaotic behavior driven by a Brownian motion ⋮ Spectra and Stability of Spatially Periodic Pulse Patterns: Evans Function Factorization via Riccati Transformation ⋮ Limit-periodic solutions of difference and differential systems without global lipschitzianity restrictions ⋮ Rotation number and exponential dichotomy for linear Hamiltonian systems: from theoretical to numerical results ⋮ Chaotic behavior in differential equations driven by a Brownian motion ⋮ Ordinary dichotomy and perturbations of the impulse matrices of linear impulsive differential equation ⋮ On the method of finding periodic solutions of second-order neutral differential equations with piecewise constant arguments ⋮ On the exponential dichotomy of linear difference equations ⋮ Exponential dichotomy and trichotomy for difference equations ⋮ Spectra and Stability of Spatially Periodic Pulse Patterns II: The Critical Spectral Curve ⋮ Pseudo almost automorphic solutions for differential equations involving reflection of the argument ⋮ On the asymptotic behavior of the solutions of autonomous equations without unstable invariant manifolds ⋮ Nonautonomous Dynamical Systems in the Life Sciences ⋮ Existence and stability of the solution to a system of two nonlinear diffusion equations in a medium with discontinuous characteristics ⋮ Almost periodic solutions of nonlinear functional differential equations ⋮ Hopf bifurcation from nonperiodic solutions of differential equations. I: Linear theory ⋮ Non-Atkinson perturbations of nonautonomous linear Hamiltonian systems: exponential dichotomy and nonoscillation ⋮ Exponential dichotomy on the real line: SVD and QR methods ⋮ Almost periodicity in time-dependent and state-dependent delay differential equations

Cites Work

• Dichotomies in stability theory
• A perturbation theorem for exponential dichotomies
• Unnamed Item
• Unnamed Item

This page was built for publication: Exponential Dichotomies for Almost Periodic Equations