prof. RNDr. Roman Šimon Hilscher, DSc.

2026

• Genera of solutions for symplectic difference systems: extended theory and Riccati-type difference equation

  ŠEPITKA Peter ŠIMON HILSCHER Roman

  Peer-reviewed scientific article

  Linear Algebra and Its Applications, year: 2026, volume: 742, edition: August, DOI

• Oscillation theory on hybrid time domains: Global oscillation properties

  ŠEPITKA Peter ŠIMON HILSCHER Roman ZEIDAN Vera M.

  Peer-reviewed scientific article

  Journal of Differential Equations, year: 2026, volume: 472, edition: August, DOI

• Oscillation theory on hybrid time domains: Local oscillation properties

  ŠEPITKA Peter ŠIMON HILSCHER Roman ZEIDAN Vera M.

  Peer-reviewed scientific article

  Journal of Differential Equations, year: 2026, volume: 457, edition: March, DOI

2025

• Monotonicity and limit results for certain symmetric matrix-valued functions with applications in singular Sturmian theory

  ŠEPITKA Peter ŠIMON HILSCHER Roman

  Peer-reviewed scientific article

  Applied Mathematics in Science and Engineering, year: 2025, volume: 33, edition: 1, DOI

• New existence results for conjoined bases of singular linear Hamiltonian systems with given Sturmian properties

  ŠEPITKA Peter ŠIMON HILSCHER Roman

  Peer-reviewed scientific article

  Linear Algebra and its Applications, year: 2025, volume: 707, edition: February, DOI

2024

• Contributions to Generalized Oscillation Theory of Linear Hamiltonian Systems

  ŠEPITKA Peter ŠIMON HILSCHER Roman

  Peer-reviewed scientific article

  Results in Mathematics, year: 2024, volume: 79, edition: 8, DOI

• Note on singular Sturm comparison theorem and strict majorant condition

  ŠEPITKA Peter ŠIMON HILSCHER Roman

  Peer-reviewed scientific article

  Journal of Mathematical Analysis and Applications, year: 2024, volume: 538, edition: 2, DOI

2023

• Comparative index and Hörmander index in finite dimension and their connections

  ELYSEEVA Julia ŠEPITKA Peter ŠIMON HILSCHER Roman

  Peer-reviewed scientific article

  Filomat, year: 2023, volume: 37, edition: 16, DOI

• Generalized focal points and local Sturmian theory for linear Hamiltonian systems

  ŠEPITKA Peter ŠIMON HILSCHER Roman

  Peer-reviewed scientific article

  Discrete and Continuous Dynamical Systems, year: 2023, volume: 43, edition: 12, DOI

• Oscillation Numbers for Continuous Lagrangian Paths and Maslov Index

  ELYSEEVA Julia ŠEPITKA Peter ŠIMON HILSCHER Roman

  Peer-reviewed scientific article

  Journal of Dynamics and Differential Equations, year: 2023, volume: 35, edition: 3, DOI