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Cited article:

New existence results for conjoined bases of singular linear Hamiltonian systems with given Sturmian properties

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Oscillation Numbers for Continuous Lagrangian Paths and Maslov Index

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Solutions with prescribed numbers of focal points of nonoscillatory linear Hamiltonian systems

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Generalized focal points and local Sturmian theory for linear Hamiltonian systems

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Discrete and Continuous Dynamical Systems (2023)
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Relative oscillation theory for linear Hamiltonian systems with nonlinear dependence on the spectral parameter

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Mathematische Nachrichten 296 (1) 196 (2023)
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Weak disconjugacy, weak controllability, and genera of conjoined bases for linear Hamiltonian systems

Peter Šepitka and Roman Šimon Hilscher
Annali di Matematica Pura ed Applicata (1923 -) 201 (5) 2121 (2022)
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Eigenfunctions expansion for discrete symplectic systems with general linear dependence on spectral parameter

Petr Zemánek
Journal of Mathematical Analysis and Applications 499 (2) 125054 (2021)
https://doi.org/10.1016/j.jmaa.2021.125054

Sturmian comparison theorems for completely controllable linear Hamiltonian systems in singular case

Peter Šepitka and Roman Šimon Hilscher
Journal of Mathematical Analysis and Applications 487 (2) 124030 (2020)
https://doi.org/10.1016/j.jmaa.2020.124030

Singular Sturmian comparison theorems for linear Hamiltonian systems

Peter Šepitka and Roman Šimon Hilscher
Journal of Differential Equations 269 (4) 2920 (2020)
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Singular Sturmian separation theorems on unbounded intervals for linear Hamiltonian systems

Peter Šepitka and Roman Šimon Hilscher
Journal of Differential Equations 266 (11) 7481 (2019)
https://doi.org/10.1016/j.jde.2018.12.007

Symplectic Difference Systems: Oscillation and Spectral Theory

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Pathways in Mathematics, Symplectic Difference Systems: Oscillation and Spectral Theory 1 (2019)
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Focal points and principal solutions of linear Hamiltonian systems revisited

Peter Šepitka and Roman Šimon Hilscher
Journal of Differential Equations 264 (9) 5541 (2018)
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Comparative index and Sturmian theory for linear Hamiltonian systems

Peter Šepitka and Roman Šimon Hilscher
Journal of Differential Equations 262 (2) 914 (2017)
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Sturm–Liouville matrix differential systems with singular leading coefficient

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Annali di Matematica Pura ed Applicata (1923 -) 196 (3) 1165 (2017)
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Genera of conjoined bases of linear Hamiltonian systems and limit characterization of principal solutions at infinity

Peter Šepitka and Roman Šimon Hilscher
Journal of Differential Equations 260 (8) 6581 (2016)
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Differential and Difference Equations with Applications

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Springer Proceedings in Mathematics & Statistics, Differential and Difference Equations with Applications 164 359 (2016)
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Principal Solutions at Infinity of Given Ranks for Nonoscillatory Linear Hamiltonian Systems

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Journal of Dynamics and Differential Equations 27 (1) 137 (2015)
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Principal and antiprincipal solutions at infinity of linear Hamiltonian systems

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Journal of Differential Equations 259 (9) 4651 (2015)
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Oscillation theorems and Rayleigh principle for linear Hamiltonian and symplectic systems with general boundary conditions

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Oscillation and spectral theory for linear Hamiltonian systems with nonlinear dependence on the spectral parameter

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Mathematische Nachrichten 285 (11-12) 1343 (2012)
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