Exponential dichotomy and stable manifolds for differential-algebraic equations on the half-line

DOI10.1007/s10883-022-09596-zzbMath1527.34028OpenAlexW4225298499WikidataQ115383626 ScholiaQ115383626MaRDI QIDQ6156196

Nguyen Thieu Huy, Phi Ha

Publication date: 13 June 2023

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-022-09596-z

zbMATH Keywords

differential-algebraic equationsexponential dichotomystable manifoldadmissible function space

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Invariant manifolds for ordinary differential equations (34C45) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Differential-algebraic equations. A projector based analysis
• Stability radii for linear time-varying differential-algebraic equations with respect to dynamic perturbations
• On data-dependence of exponential stability and stability radii for linear time-varying differential-algebraic systems
• Invariant manifolds of admissible classes for semi-linear evolution equations
• Lyapunov, Bohl and Sacker-Sell spectral intervals for differential-algebraic equations
• Stable manifolds for semi-linear evolution equations and admissibility of function spaces on a half-line
• Semigroups of linear operators and applications to partial differential equations
• Dichotomies in stability theory
• Invariant manifolds of partial functional differential equations.
• Operator differential-algebraic equations arising in fluid dynamics
• The spectral mapping theorem for evolution semigroups on spaces of vector-valued functions
• Surveys in differential-algebraic equations I
• On differential-algebraic equations in infinite dimensions
• Numerical treatment of partial differential equations. Revised translation of the 3rd German edition of `Numerische Behandlung partieller Differentialgleichungen' by Martin Stynes.
• Exponential dichotomy of evolution equations and admissibility of function spaces on a half-line
• Linear Sobolev type equations and degenerate semigroups of operators
• On stability and Bohl exponent of linear singular systems of difference equations with variable coefficients
• Continuous, Semi-discrete, and Fully Discretised Navier-Stokes Equations
• Conditioning and Dichotomy in Differential Algebraic Equations
• On Smooth Decompositions of Matrices
• A matrix pencil approach to the local stability analysis of non-linear circuits
• Semilinear Evolution Equations and Their Applications
• Ordinary Differential Equations with Applications
• Bohl exponent for time-varying linear differential-algebraic equations

This page was built for publication: Exponential dichotomy and stable manifolds for differential-algebraic equations on the half-line