prof. RNDr. Roman Šimon Hilscher, DSc.
Vice-dean for economics, Faculty of Science
Office: pav. 08/02028
Kotlářská 267/2
611 37 Brno
Phone: | +420 549 49 4226 |
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E‑mail: |
social and academic networks: |
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Total number of publications: 126
2018
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On square integrable solutions and principal and antiprincipal solutions for linear Hamiltonian systems
Annali di Matematica Pura ed Applicata. Series IV, year: 2018, volume: 197, edition: 1, DOI
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Singular Sturmian separation theorems for nonoscillatory symplectic difference systems
Journal of Difference Equations and Applications, year: 2018, volume: 24, edition: 12, DOI
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Sufficiency and sensitivity for nonlinear optimal control problems on time scales via coercivity
ESAIM: Control, Optimisation and Calculus of Variations, year: 2018, volume: 24, edition: 4, DOI
2017
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Comparative index and Sturmian theory for linear Hamiltonian systems
Journal of Differential Equations, year: 2017, volume: 262, edition: 2, DOI
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Dominant and recessive solutions at infinity and genera of conjoined bases for discrete symplectic systems
Journal of Difference Equations and Applications, year: 2017, volume: 23, edition: 4, DOI
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Sturm-Liouville matrix differential systems with singular leading coefficient
Annali di Matematica Pura ed Applicata. Series IV, year: 2017, volume: 196, edition: 3, DOI
2016
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Genera of conjoined bases of linear Hamiltonian systems and limit characterization of principal solutions at infinity
Journal of Differential Equations, year: 2016, volume: 260, edition: 8, DOI
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Principal solutions at infinity for time scale symplectic systems without controllability condition
Journal of Mathematical Analysis and Applications, year: 2016, volume: 444, edition: 2, DOI
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Reid's construction of minimal principal solution at infinity for linear Hamiltonian systems
Differential and Difference Equations with Applications: ICDDEA, Amadora, Portugal, May 2015, Selected Contributions, year: 2016
2015
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Asymptotic properties of solutions of Riccati matrix equations and inequalities for discrete symplectic systems
Electronic Journal of Qualitative Theory of Differential Equations, year: 2015, volume: 54, edition: 54