prof. RNDr. Roman Šimon Hilscher, DSc.

2012

• Oscillation and spectral theory for linear Hamiltonian systems with nonlinear dependence on the spectral parameter

  BOHNER Martin KRATZ Werner ŠIMON HILSCHER Roman

  Article in Periodical

  Mathematische Nachrichten, year: 2012, volume: 285, edition: 11-12, DOI

• Oscillation criterion for half-linear differential equations with periodic coefficients

  DOŠLÝ Ondřej ÖZBEKLER Abdullah ŠIMON HILSCHER Roman

  Article in Periodical

  Journal of Mathematical Analysis and Applications, year: 2012, volume: 393, edition: 2, DOI

• Oscillation theorems and Rayleigh principle for linear Hamiltonian and symplectic systems with general boundary conditions

  ŠIMON HILSCHER Roman ZEIDAN Vera Michel

  Article in Periodical

  Applied Mathematics and Computation, year: 2012, volume: 218, edition: 17, DOI

• Oscillation theorems for discrete symplectic systems with nonlinear dependence in spectral parameter

  ŠIMON HILSCHER Roman

  Article in Periodical

  Linear Algebra and Its Applications, year: 2012, volume: 437, edition: 12, DOI

• Rayleigh principle for linear Hamiltonian systems without controllability

  KRATZ Werner ŠIMON HILSCHER Roman

  Article in Periodical

  ESAIM: Control, Optimisation and Calculus of Variations, year: 2012, volume: 18, edition: 2, DOI

• Spectral and oscillation theory for general second order Sturm-Liouville difference equations

  ŠIMON HILSCHER Roman

  Article in Periodical

  Advances in Difference Equations, year: 2012, volume: 2012, edition: 82, DOI

2011

• Eigenvalue and oscillation theorems for time scale symplectic systems

  KRATZ Werner ŠIMON HILSCHER Roman ZEIDAN Vera Michel

  Article in Periodical

  International Journal of Dynamical Systems and Differential Equations, year: 2011, volume: 3, edition: 1-2

• First order conditions for generalized variational problems over time scales

  ŠIMON HILSCHER Roman ZEIDAN Vera Michel

  Article in Periodical

  Computers & Mathematics with Applications, year: 2011, volume: 62, edition: 9, DOI

• On general Sturmian theory for abnormal linear Hamiltonian systems

  ŠIMON HILSCHER Roman

  Article in Proceedings

  Proceedings of the 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications, year: 2011

• Overview of Weyl-Titchmarsh theory for second order Sturm-Liouville equations on time scales

  ŠIMON HILSCHER Roman ZEMÁNEK Petr

  Article in Periodical

  Int. J. Difference Equ., year: 2011, volume: 6, edition: 1