Floquet multipliers and the stability of periodic linear differential equations: a unified algorithm and its computer realization
From MaRDI portal
Publication:6611926
DOI10.11948/20220518MaRDI QIDQ6611926
Meng Da Wu, Yonghui Xia, Ziyi Xu
Publication date: 27 September 2024
Published in: Journal of Applied Analysis and Computation (Search for Journal in Brave)
Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Dynamic equations on time scales or measure chains (34N05) Real analysis on time scales or measure chains (26E70)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Necessary and sufficient criteria for the existence of exponential dichotomy on time scales
- A unified Floquet theory for discrete, continuous, and hybrid periodic linear systems
- Floquet theory based on new periodicity concept for hybrid systems involving \(q\)-difference equations
- The calculation for characteristic multiplier of Hill's equation
- Analysis on measure chains - a unified approach to continuous and discrete calculus
- Measure functional differential equations and functional dynamic equations on time scales
- Topological decoupling, linearization and perturbation on inhomogeneous time scales
- Stability radii for positive linear time-invariant systems on time scales
- Existence and roughness of exponential dichotomies of linear dynamic equations on time scales
- Almost Floquet systems
- The Floquet theory of the periodic Euler-Bernoulli equation
- Basic calculus on time scales and some of its applications
- On the behavior of Floquet exponents of a kind of periodic evolution problems
- Floquet theory for parabolic differential equations
- How Floquet theory applies to index-1 differential algebraic equations
- Eigenvalue estimates and trace formulas for the matrix Hill's equation
- Resonance tongues in Hill's equations: A geometric approach
- Dynamic equations on time scales: A survey
- Reducibility of linear dynamic equations on measure chains
- A spectral notion for dynamic equations on time scales
- A spectral characterization of exponential stability for linear time-invariant systems on time scales
- On a Floquet theory for almost-periodic, two-dimensional linear systems
- Floquet multipliers of symmetric rapidly oscillating solutions of differential delay equations
- Exponential dichotomies for dynamic equations on measure chains.
- Systems of differential delay equations: Floquet multipliers and discrete Lyapunov functions
- On the Erugin and Floquet-Lyapunov theorems for countable systems of difference equations
- Theory of translation closedness for time scales. With applications in translation functions and dynamic equations
- Hyers-Ulam-Rassias stability of high-dimensional quaternion impulsive fuzzy dynamic equations on time scales
- Almost automorphic functions on semigroups induced by complete-closed time scales and application to dynamic equations
- Calculus of fuzzy vector-valued functions and almost periodic fuzzy vector-valued functions on time scales
- Floquet theory and stability of nonlinear integro-differential equations
- Lyapunov stability for measure differential equations and dynamic equations on time scales
- On the floquet multipliers of periodic solutions to nonlinear functional differential equations
- Almost periodic fuzzy multidimensional dynamic systems and applications on time scales
- Floquet Theory for a Volterra Equation
- Characteristic Multipliers and Stability of Symmetric Periodic Solutions of . x (t) = g(x(t - 1))
- Differential and difference calculus — Unified!
- Floquet theory for linear differential equations with meromorphic solutions
- Ordinary Differential Equations with Applications
- Hyperbolic periodic solutions, heteroclinic connections and transversal homoclinic points in autonomous differential delay equations
- COMPUTING FLOQUET MULTIPLIERS FOR FUNCTIONAL DIFFERENTIAL EQUATIONS
- Floquet Theory for Time Scales and Putzer Representations of Matrix Logarithms
- Commutativity of quaternion‐matrix–valued functions and quaternion matrix dynamic equations on time scales
This page was built for publication: Floquet multipliers and the stability of periodic linear differential equations: a unified algorithm and its computer realization
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6611926)
