On the spectral theory of linear differential-algebraic equations with periodic coefficients
DOI10.1007/s13324-023-00856-0arXiv2211.02134OpenAlexW4388968949MaRDI QIDQ6186709
Bader Alshammari, Aaron Welters
Publication date: 9 January 2024
Published in: Analysis and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.02134
spectral theoryelectromagneticsperiodic coefficientsoperator theorylinear differential-algebraic equations1D photonic crystals
Implicit ordinary differential equations, differential-algebraic equations (34A09) General spectral theory of ordinary differential operators (34L05) Eigenvalue problems for linear operators (47A75) Linear symmetric and selfadjoint operators (unbounded) (47B25) Linear ordinary differential equations and systems (34A30) Linear operators on function spaces (general) (47B38) Nonautonomous smooth dynamical systems (37C60) Applications of functional analysis to differential and integral equations (46N20) Spectral, collocation and related methods applied to problems in optics and electromagnetic theory (78M22) Operators arising in mathematical physics (47B93)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Closedness and normal solvability of an operator generated by a degenerate linear differential equation with variable coefficients
- Inverse problems and nonlinear evolution equations. Solutions, Darboux matrices and Weyl-Titchmarsh functions
- Spectral theory of ordinary differential operators
- How Floquet theory applies to index-1 differential algebraic equations
- Spectral theory of canonical systems
- The Schur complement and its applications
- Linear differential-algebraic equations in spaces of integrable functions
- Stability of periodic solutions of index-2 differential algebraic systems
- Discrete and continuous boundary problems
- An implicit canonical equation in Hilbert space
- Pathological scattering by a defect in a slow-light periodic layered medium
- On Explicit Recursive Formulas in the Spectral Perturbation Analysis of a Jordan Block
- Systems of Differential Algebraic Equations in Computational Electromagnetics
- Differential-Algebraic Equations from a Functional-Analytic Viewpoint: A Survey
- Slow light in photonic crystals
- On the adjoint of Hilbert space operators
- Basic Characteristics of Differential-Algebraic Operators
- Boundary Value Problems, Weyl Functions, and Differential Operators
- Artificial dispersion via high-order homogenization: magnetoelectric coupling and magnetism from dielectric layers
- Resonant electromagnetic scattering in anisotropic layered media
- Preface
This page was built for publication: On the spectral theory of linear differential-algebraic equations with periodic coefficients
