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Cited article:
Werner Kratz , Roman Šimon Hilscher
ESAIM: COCV, 18 2 (2012) 501-519
Published online: 2011-07-22
This article has been cited by the following article(s):
26 articles
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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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Relative oscillation theory for linear Hamiltonian systems with nonlinear dependence on the spectral parameter
Julia Elyseeva Mathematische Nachrichten 296 (1) 196 (2023) https://doi.org/10.1002/mana.202000434
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) https://doi.org/10.1007/s10231-022-01194-x
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
Comparison theorems for conjoined bases of linear Hamiltonian systems without monotonicity
Julia Elyseeva Monatshefte für Mathematik 193 (2) 305 (2020) https://doi.org/10.1007/s00605-020-01378-8
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) https://doi.org/10.1016/j.jde.2020.02.016
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
Ondřej Došlý, Julia Elyseeva and Roman Šimon Hilscher Pathways in Mathematics, Symplectic Difference Systems: Oscillation and Spectral Theory 1 (2019) https://doi.org/10.1007/978-3-030-19373-7_1
The comparative index and transformations of linear Hamiltonian differential systems
Julia Elyseeva Applied Mathematics and Computation 330 185 (2018) https://doi.org/10.1016/j.amc.2018.02.026
Focal points and principal solutions of linear Hamiltonian systems revisited
Peter Šepitka and Roman Šimon Hilscher Journal of Differential Equations 264 (9) 5541 (2018) https://doi.org/10.1016/j.jde.2018.01.016
Comparative index and Sturmian theory for linear Hamiltonian systems
Peter Šepitka and Roman Šimon Hilscher Journal of Differential Equations 262 (2) 914 (2017) https://doi.org/10.1016/j.jde.2016.09.043
Sturm–Liouville matrix differential systems with singular leading coefficient
Iva Dřímalová, Werner Kratz and Roman Šimon Hilscher Annali di Matematica Pura ed Applicata (1923 -) 196 (3) 1165 (2017) https://doi.org/10.1007/s10231-016-0611-6
On symplectic transformations of linear Hamiltonian differential systems without normality
Julia Elyseeva Applied Mathematics Letters 68 33 (2017) https://doi.org/10.1016/j.aml.2016.12.012
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) https://doi.org/10.1016/j.jde.2016.01.004
Differential and Difference Equations with Applications
Peter Šepitka and Roman Šimon Hilscher Springer Proceedings in Mathematics & Statistics, Differential and Difference Equations with Applications 164 359 (2016) https://doi.org/10.1007/978-3-319-32857-7_34
Principal Solutions at Infinity of Given Ranks for Nonoscillatory Linear Hamiltonian Systems
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Principal and antiprincipal solutions at infinity of linear Hamiltonian systems
Peter Šepitka and Roman Šimon Hilscher Journal of Differential Equations 259 (9) 4651 (2015) https://doi.org/10.1016/j.jde.2015.06.027
Comparison theorems for self‐adjoint linear Hamiltonian eigenvalue problems
Roman Šimon Hilscher Mathematische Nachrichten 287 (5-6) 704 (2014) https://doi.org/10.1002/mana.201200314
Oscillation theorems and Rayleigh principle for linear Hamiltonian and symplectic systems with general boundary conditions
Roman Šimon Hilscher and Vera Zeidan Applied Mathematics and Computation 218 (17) 8309 (2012) https://doi.org/10.1016/j.amc.2012.01.056
Oscillation and spectral theory for linear Hamiltonian systems with nonlinear dependence on the spectral parameter
Martin Bohner, Werner Kratz and Roman Šimon Hilscher Mathematische Nachrichten 285 (11-12) 1343 (2012) https://doi.org/10.1002/mana.201100172