Cauchy matrix for linear almost periodic systems and some consequences
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Publication:555064
DOI10.1016/j.na.2011.05.027zbMath1222.34004OpenAlexW2009613669MaRDI QIDQ555064
Publication date: 22 July 2011
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2011.05.027
linear systemsalmost periodic functionsRiccati equationsexponential dichotomyintegral separationdiagonalizability
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30)
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Weighted pseudo almost periodic functions, convolutions and abstract integral equations, Almost periodicity of set-valued functions and set dynamic equations on time scales, Almost automorphic delayed differential equations and Lasota-Wazewska model, Diagonalizability of nonautonomous linear systems with bounded continuous coefficients
Cites Work
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- Existence and stability of almost periodic solutions in impulsive neural network models
- Pseudo-almost periodic solutions of neutral integral and differential equations with applications
- Exponential dichotomy, integral separation and diagonalizability of linear systems of ordinary differential equations
- Smoothness of spectral subbundles and reducibility of quasi periodic linear differential systems
- Almost periodic differential equations
- A spectral theory for linear differential systems
- Dichotomies in stability theory
- On the almost periodic \(n\)-competing species problem
- Asymptotic integration of ordinary different systems
- \(L_p\)-perturbations of invariant subbundles for linear systems
- A dynamical systems result on asymptotic integration of linear differential systems.
- A new approach to asymptotic diagonalization of linear differential systems
- Almost periodic properties of ordinary differential equations
- The asymptotic nature of solutions of linear systems of differential equations
- Sampling and generalized almost periodic extension of functions
- Linear Differential Equations with Almost Periodic Coefficients
- Approximate Similarity and Almost Perodic Matrices
- Global asymptotic stability in an almost-periodic Lotka-Volterra system
- An Asymptotic Floquet Theorem for Linear Almost Periodic Systems
- A Stability Criterion of Diagonal Dominance Type
- ASYMPTOTIC EQUIVALENCE OF ALMOST PERIODIC SOLUTIONS FOR A CLASS OF PERTURBED ALMOST PERIODIC SYSTEMS
- A generalization of Poincaré's theorem for recurrence systems
- A Simple Robust Controller for the Approximate Regulation of Almost Periodic Signals for Linear Systems
- On the structure of solutions of a system of linear differential equations with almost periodic coefficients
- On the reduction of a system of linear equations to diagonal form
- Stability of Solutions of Linear Systems with Dominant Main Diagonal
- Asymptotic Integrations of Linear Differential Equations
- Existence and uniqueness of pseudo almost periodic solutions of semilinear Cauchy problems with non dense domain