Singular Sturmian separation theorems on unbounded intervals for linear Hamiltonian systems
From MaRDI portal
Publication:1732145
DOI10.1016/j.jde.2018.12.007zbMath1408.37107OpenAlexW2905259677WikidataQ128893775 ScholiaQ128893775MaRDI QIDQ1732145
Roman Šimon Hilscher, Peter Šepitka
Publication date: 22 March 2019
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2018.12.007
linear Hamiltonian systemcomparative indexproper focal pointSturmian separation theoremantiprincipal solutionminimal principal solution
Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Dynamical systems in control (37N35)
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Singular Sturmian comparison theorems for linear Hamiltonian systems ⋮ Generalized focal points and local Sturmian theory for linear Hamiltonian systems ⋮ Oscillation numbers for continuous Lagrangian paths and Maslov index ⋮ Solutions with prescribed numbers of focal points of nonoscillatory linear Hamiltonian systems ⋮ Comparative index and Lidskii angles for symplectic matrices ⋮ Lidskii angles and Sturmian theory for linear Hamiltonian systems on compact interval ⋮ Sturmian comparison theorems for completely controllable linear Hamiltonian systems in singular case ⋮ Weak disconjugacy, weak controllability, and genera of conjoined bases for linear Hamiltonian systems
Cites Work
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- Nonautonomous linear Hamiltonian systems: oscillation, spectral theory and control
- Comparative index and Sturmian theory for linear Hamiltonian systems
- A Dirichlet problem on the half-line for nonlinear equations with indefinite weight
- On symplectic transformations of linear Hamiltonian differential systems without normality
- Some remarks concerning weakly disconjugate linear Hamiltonian systems
- Comparative index for solutions of symplectic difference systems
- Comparison theorems for conjoined bases of linear Hamiltonian differential systems and the comparative index
- Generalized oscillation theorems for symplectic difference systems with nonlinear dependence on spectral parameter
- Singular Sturm comparison theorems
- Focal points and principal solutions of linear Hamiltonian systems revisited
- On the Yakubovich frequency theorem for linear non-autonomous control processes
- Generalized inverses. Theory and applications.
- Minimal principal solution at infinity for nonoscillatory linear Hamiltonian systems
- On general Sturmian theory for abnormal linear Hamiltonian systems
- Singular Sturmian theory for linear Hamiltonian differential systems
- Principal solutions at infinity of given ranks for nonoscillatory linear Hamiltonian systems
- Principal and antiprincipal solutions at infinity of linear Hamiltonian systems
- Disconjugacy
- Rayleigh principle for linear Hamiltonian systems without controllability
- Reid’s Construction of Minimal Principal Solution at Infinity for Linear Hamiltonian Systems
- Sturmian theory for linear Hamiltonian systems without controllability
- DEFINITENESS OF QUADRATIC FUNCTIONALS
- Singular comparison theorems for discrete symplectic systems
- Generalized Inverses of Linear Transformations
- Genera of conjoined bases of linear Hamiltonian systems and limit characterization of principal solutions at infinity
