Dynamical spectrum for time dependent linear systems in Banach spaces
From MaRDI portal
Publication:1343497
DOI10.1007/BF03167229zbMath0818.34029OpenAlexW1990566183MaRDI QIDQ1343497
Publication date: 19 January 1995
Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf03167229
General spectral theory of ordinary differential operators (34L05) Linear ordinary differential equations and systems (34A30) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Linear differential equations in abstract spaces (34G10)
Related Items
Exponential stability for nonautonomous functional differential equations with state-dependent delay, Hyperbolic linear skew-product semiflows, Long-time behavior of almost periodically forced parabolic equations on the circle, Lyapunov and dynamical spectra for Banach state-spaces, On stability of discrete dynamical systems: from global methods to ergodic theory approaches, Uniform and strict persistence in monotone skew-product semiflows with applications to non-autonomous Nicholson systems, Structure of \(\omega\)-limit sets for almost-periodic parabolic equations on \(S^{1}\) with reflection symmetry, Ergodicity of minimal sets in scalar parabolic equations, Topologies of \(L_{\text{loc}}^p\) type for Carathéodory functions with applications in non-autonomous differential equations, Nonuniform spectrum on Banach spaces, Lifting properties of minimal sets for parabolic equations on 𝑆¹ with reflection symmetry, Nonuniform \(\mu \)-dichotomy spectrum and kinematic similarity, Input-output criteria for the trichotomic behaviors of discrete dynamical systems, Minimal sets in monotone and concave skew-product semiflows. I: A general theory, Robustness of nonuniform mean-square exponential dichotomies, Existence of global attractor for a nonautonomous state-dependent delay differential equation of neuronal type, Strong nonuniform spectrum for arbitrary growth rates, Two definitions of exponential dichotomy for skew-product semiflow in Banach spaces, Almost automorphically and almost periodically forced circle flows of almost periodic parabolic equations on \(S^1\), Fine structure of the dichotomy spectrum, Estimates for the principal spectrum point for certain time-dependent parabolic operators, SPECTRA OF DELAY EQUATIONS, Nonuniform dichotomy spectrum and reducibility for nonautonomous difference equations, Dynamical spectrum for scalar parabolic equations, Nonuniform mean-square exponential dichotomies and mean-square exponential stability, Input-output criteria for stability and expansiveness of dynamical systems, On random linear dynamical systems in a Banach space. I: Multiplicative ergodic theorem and Krein-Rutman type theorems, Skew-product semi-flows and non-autonomous control systems, Schäffer spaces and uniform exponential stability of linear skew-product semiflows, Spectral theory for invertible cocycles under nonuniform hyperbolicity, THE RELATION BETWEEN THE UNIFORM EXPONENTIAL DICHOTOMY AND THE UNIFORM ADMISSIBILITY OF THE PAIR (lp, lq) on ⊝, Non-wandering points for autonomous/periodic parabolic equations on the circle, On the asymptotic behavior of discrete dynamical systems -- an ergodic theory approach, Global attractivity in concave or sublinear monotone infinite delay differential equations, Characterization of Cocycle Attractors for Nonautonomous Reaction–Diffusion Equations, A new method to prove the nonuniform dichotomy spectrum theorem in ℝⁿ, Discretized characterizations of exponential dichotomy of linear skew-product semiflows over semiflows, Nonuniform dichotomy spectrum and reducibility for nonautonomous equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A generalized integral manifold theorem
- Stability of integral manifold and orbital attraction of quasi-periodic motion
- Semigroups of linear operators and applications to partial differential equations
- Upper semicontinuity of the attractor for a singularly perturbed hyperbolic equation
- Geometric theory of semilinear parabolic equations
- Characteristic exponents and invariant manifolds in Hilbert space
- Infinite-dimensional dynamical systems in mechanics and physics
- Existence of dichotomies and invariant splittings for linear differential systems. I
- Existence of dichotomies and invariant splittings for linear differential systems. III
- Existence of dichotomies and invariant splittings for linear differential systems. II
- Theory of functional differential equations. 2nd ed
- A spectral theory for linear differential systems
- The structure of a flow in the vicinity of an almost periodic motion
- Dichotomies for linear evolutionary equations in Banach spaces
- Hyperbolic linear skew-product semiflows
- Exponential dichotomy for singularly perturbed linear functional differential equations with small delays
- Smooth Linearization Near a Fixed Point
- Attractors of asymptotically compact processes and applications to nonlinear partial differential equations