doc. Mgr. Peter Šepitka, Ph.D.
Associate professor, Department of Mathematics and Statistics
office: pav. 08/02024
Kotlářská 267/2
611 37 Brno
phone: | +420 549 49 7681 |
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e‑mail: |
social and academic networks: |
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Total number of publications: 26
2024
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Contributions to Generalized Oscillation Theory of Linear Hamiltonian Systems
Results in Mathematics, year: 2024, volume: 79, edition: 8, DOI
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Note on singular Sturm comparison theorem and strict majorant condition
Journal of Mathematical Analysis and Applications, year: 2024, volume: 538, edition: 2, DOI
2023
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Comparative index and Hörmander index in finite dimension and their connections
Filomat, year: 2023, volume: 37, edition: 16, DOI
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Generalized focal points and local Sturmian theory for linear Hamiltonian systems
Discrete and Continuous Dynamical Systems, year: 2023, volume: 43, edition: 12, DOI
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Oscillation Numbers for Continuous Lagrangian Paths and Maslov Index
Journal of Dynamics and Differential Equations, year: 2023, volume: 35, edition: 3, DOI
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Solutions with prescribed numbers of focal points of nonoscillatory linear Hamiltonian systems
Monatshefte für Mathematik, year: 2023, volume: 200, edition: 2, DOI
2022
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Weak disconjugacy, weak controllability, and genera of conjoined bases for linear Hamiltonian systems
Annali di Matematica Pura ed Applicata, year: 2022, volume: 201, edition: 5, DOI
2021
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Comparative index and Lidskii angles for symplectic matrices
Linear Algebra and its Applications, year: 2021, volume: 624, edition: September, DOI
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Distribution and number of focal points for linear Hamiltonian systems
Linear Algebra and Its Applications, year: 2021, volume: 611, edition: February 2021, DOI
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Lidskii angles and Sturmian theory for linear Hamiltonian systems on compact interval
Journal of Differential Equations, year: 2021, volume: 298, edition: October, DOI