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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):
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)
DOI: 10.1016/j.amc.2012.01.056
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Comparison theorems for conjoined bases of linear Hamiltonian systems without monotonicity
Julia Elyseeva
Monatshefte für Mathematik 193 (2) 305 (2020)
DOI: 10.1007/s00605-020-01378-8
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The comparative index and transformations of linear Hamiltonian differential systems
Julia Elyseeva
Applied Mathematics and Computation 330 185 (2018)
DOI: 10.1016/j.amc.2018.02.026
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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)
DOI: 10.1007/978-3-319-32857-7_34
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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)
DOI: 10.1007/s10231-016-0611-6
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Principal Solutions at Infinity of Given Ranks for Nonoscillatory Linear Hamiltonian Systems
Peter Šepitka and Roman Šimon Hilscher
Journal of Dynamics and Differential Equations 27 (1) 137 (2015)
DOI: 10.1007/s10884-014-9389-7
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Comparison theorems for self-adjoint linear Hamiltonian eigenvalue problems
Roman Šimon Hilscher
Mathematische Nachrichten 287 (5-6) 704 (2014)
DOI: 10.1002/mana.201200314
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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)
DOI: 10.1016/j.jde.2015.06.027
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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)
DOI: 10.1007/978-3-030-19373-7_1
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On symplectic transformations of linear Hamiltonian differential systems without normality
Julia Elyseeva
Applied Mathematics Letters 68 33 (2017)
DOI: 10.1016/j.aml.2016.12.012
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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)
DOI: 10.1016/j.jde.2018.12.007
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Singular Sturmian comparison theorems for linear Hamiltonian systems
Peter Šepitka and Roman Šimon Hilscher
Journal of Differential Equations 269 (4) 2920 (2020)
DOI: 10.1016/j.jde.2020.02.016
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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)
DOI: 10.1016/j.jmaa.2020.124030
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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)
DOI: 10.1016/j.jde.2016.01.004
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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)
DOI: 10.1016/j.jde.2016.09.043
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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)
DOI: 10.1016/j.jmaa.2021.125054
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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 -) (2022)
DOI: 10.1007/s10231-022-01194-x
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Oscillation Numbers for Continuous Lagrangian Paths and Maslov Index
Julia Elyseeva, Peter Šepitka and Roman Šimon Hilscher
Journal of Dynamics and Differential Equations (2022)
DOI: 10.1007/s10884-022-10140-7
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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)
DOI: 10.1016/j.jde.2018.01.016
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