Eigenfunctions expansion for discrete symplectic systems with general linear dependence on spectral parameter
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Publication:2661194
DOI10.1016/j.jmaa.2021.125054zbMath1467.39003OpenAlexW3127377821MaRDI QIDQ2661194
Publication date: 1 April 2021
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125054
Hermitian, skew-Hermitian, and related matrices (15B57) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Discrete version of topics in analysis (39A12) Boundary value problems for difference equations (39A27)
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Cites Work
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- Nonautonomous linear Hamiltonian systems: oscillation, spectral theory and control
- Characterization of self-adjoint extensions for discrete symplectic systems
- Limit point and limit circle classification for symplectic systems on time scales
- On discrete symplectic systems: associated maximal and minimal linear relations and nonhomogeneous problems
- On a Weyl-Titchmarsh theory for discrete symplectic systems on a half line
- Weyl-Titchmarsh theory for symplectic difference systems
- On relative oscillation theory for symplectic eigenvalue problems
- Sturmian theory for ordinary differential equations
- Spectral theory of canonical differential systems. Method of operator identities
- Discrete time quantum mechanics
- Disconjugacy and transformations for symplectic systems
- Quantum mechanics with difference operators
- Analysis and explicit solvability of degenerate tensorial problems
- Linear operators associated with differential and difference systems: what is different?
- Completeness theorem for the dissipative Sturm-Liouville operator on bounded time scales
- Symplectic difference systems: oscillation and spectral theory
- Properties of solutions to porous medium problems with different sources and boundary conditions
- Weyl--Titchmarsh theory for a class of discrete linear Hamiltonian systems
- Discrete and continuous boundary problems
- Eigenfunction expansions in \(L^{2}\) spaces for boundary value problems on time-scales
- Spectral Theory of the Difference Equations in Isotopically Disordered Harmonic Chains
- q-Titchmarsh-Weyl theory: series expansion
- Rayleigh principle for linear Hamiltonian systems without controllability
- Rayleigh principle for time scale symplectic systems and applications
- Oscillation and spectral theory for symplectic difference systems with separated boundary conditions
- Sturmian and spectral theory for discrete symplectic systems
- Second-order Sturm-Liouville difference equations and orthogonal polynomials
- On Matrix-Valued Herglotz Functions
- $M(\lambda )$ Theory for Singular Hamiltonian Systems with One Singular Point
- An Oscillation Theorem for Self-Adjoint Differential Systems and the Rayleigh Principle for Quadratic Functionals
- Loewner's Theorem on Monotone Matrix Functions
- Oscillation theorems for symplectic difference systems
- A singular elliptic problem related to the membrane equilibrium equations
- Weyl–Titchmarsh theory for discrete symplectic systems with general linear dependence on spectral parameter
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