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: 25
2020
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Singular Sturmian comparison theorems for linear Hamiltonian systems
Journal of Differential Equations, year: 2020, volume: 269, edition: 4, DOI
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Sturmian comparison theorems for completely controllable linear Hamiltonian systems in singular case
Journal of Mathematical Analysis and Applications, year: 2020, volume: 487, edition: 2, DOI
2019
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Riccati equations for linear Hamiltonian systems without controllability condition
Discrete & Continuous Dynamical Systems - A, year: 2019, volume: 39, edition: 4, DOI
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Singular Sturmian separation theorems on unbounded intervals for linear Hamiltonian systems
Journal of Differential Equations, year: 2019, volume: 266, edition: 11, DOI
2018
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Focal points and principal solutions of linear Hamiltonian systems revisited
Journal of Differential Equations, year: 2018, volume: 264, edition: 9, 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
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
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