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1

Sturm–Liouville matrix differential systems with singular leading coefficient

Dřímalová, Iva, Kratz, Werner, Šimon Hilscher, Roman

Journal:

Annali di Matematica Pura ed Applicata (1923 -)

Year:

2017

Language:

english

File:

PDF, 614 KB

english, 2017

2

Time scale symplectic systems with analytic dependence on spectral parameter

Šimon Hilscher, Roman, Zemánek, Petr

Journal:

Journal of Difference Equations and Applications

Year:

2015

Language:

english

File:

PDF, 285 KB

english, 2015

3

Limit point and limit circle classification for symplectic systems on time scales

Šimon Hilscher, Roman, Zemánek, Petr

Journal:

Applied Mathematics and Computation

Year:

2014

Language:

english

File:

PDF, 752 KB

english, 2014

4

Sufficiency and sensitivity for nonlinear optimal control problems on time scales via coercivity

Šimon Hilscher, Roman, Zeidan, Vera

Journal:

ESAIM Control Optimisation and Calculus of Variations

Year:

2019

File:

PDF, 588 KB

2019

5

[Pathways in Mathematics] Symplectic Difference Systems: Oscillation and Spectral Theory ||

Došlý, Ondřej, Elyseeva, Julia, Šimon Hilscher, Roman

Year:

2019

Language:

english

File:

PDF, 9.15 MB

english, 2019

6

Weyl–Titchmarsh theory for discrete symplectic systems with general linear dependence on spectral parameter

Šimon Hilscher, Roman, Zemánek, Petr

Journal:

Journal of Difference Equations and Applications

Year:

2014

Language:

english

File:

PDF, 393 KB

english, 2014

7

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

Roman Šimon Hilscher, Vera Zeidan

Journal:

Applied Mathematics and Computation

Year:

2012

Language:

english

File:

PDF, 393 KB

english, 2012

8

Limit circle invariance for two differential systems on time scales

Hilscher, Roman Šimon, Zemánek, Petr

Journal:

Mathematische Nachrichten

Year:

2015

Language:

english

File:

PDF, 246 KB

english, 2015

9

Sturmian theory for linear Hamiltonian systems without controllability

Roman Šimon Hilscher

Journal:

Mathematische Nachrichten

Year:

2011

Language:

english

File:

PDF, 148 KB

english, 2011

10

First order conditions for generalized variational problems over time scales

Roman Šimon Hilscher, Vera Zeidan

Journal:

Computers & Mathematics with Applications

Year:

2011

Language:

english

File:

PDF, 336 KB

english, 2011

11

Recessive solutions for nonoscillatory discrete symplectic systems

Šepitka, Peter, Šimon Hilscher, Roman

Journal:

Linear Algebra and its Applications

Year:

2015

Language:

english

File:

PDF, 720 KB

english, 2015

12

Minimal Principal Solution at Infinity for Nonoscillatory Linear Hamiltonian Systems

Šepitka, Peter, Šimon Hilscher, Roman

Journal:

Journal of Dynamics and Differential Equations

Year:

2014

Language:

english

File:

PDF, 544 KB

english, 2014

13

Hamilton–Jacobi theory over time scales and applications to linear-quadratic problems

Roman Šimon Hilscher, Vera Zeidan

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2012

Language:

english

File:

PDF, 372 KB

english, 2012

14

Singular Sturmian separation theorems on unbounded intervals for linear Hamiltonian systems

Šepitka, Peter, Šimon Hilscher, Roman

Journal:

Journal of Differential Equations

Year:

2019

Language:

english

File:

PDF, 750 KB

english, 2019

15

Focal points and principal solutions of linear Hamiltonian systems revisited

Šepitka, Peter, Šimon Hilscher, Roman

Journal:

Journal of Differential Equations

Year:

2018

Language:

english

File:

PDF, 602 KB

english, 2018

16

Comparison theorems for self-adjoint linear Hamiltonian eigenvalue problems

Hilscher, Roman Šimon

Journal:

Mathematische Nachrichten

Year:

2014

Language:

english

File:

PDF, 243 KB

english, 2014

17

Comparative index and Sturmian theory for linear Hamiltonian systems

Šepitka, Peter, Šimon Hilscher, Roman

Journal:

Journal of Differential Equations

Year:

2016

Language:

english

File:

PDF, 1.38 MB

english, 2016

18

Picone type identities and definiteness of quadratic functionals on time scales

Roman Šimon Hilscher, Vera Zeidan

Journal:

Applied Mathematics and Computation

Year:

2009

Language:

english

File:

PDF, 308 KB

english, 2009

19

Weyl disks and square summable solutions for discrete symplectic systems with jointly varying endpoints

Šimon Hilscher, Roman, Zemánek, Petr

Journal:

Advances in Difference Equations

Year:

2013

Language:

english

File:

PDF, 330 KB

english, 2013

20

Symmetric Three-Term Recurrence Equations and Their Symplectic Structure

Šimon Hilscher, Roman, Zeidan, Vera

Journal:

Advances in Difference Equations

Year:

2010

Language:

english

File:

PDF, 381 KB

english, 2010

21

Genera of conjoined bases of linear Hamiltonian systems and limit characterization of principal solutions at infinity

Šepitka, Peter, Šimon Hilscher, Roman

Journal:

Journal of Differential Equations

Year:

2016

Language:

english

File:

PDF, 452 KB

english, 2016

22

Principal solutions at infinity for time scale symplectic systems without controllability condition

Šepitka, Peter, Šimon Hilscher, Roman

Journal:

Journal of Mathematical Analysis and Applications

Year:

2016

Language:

english

File:

PDF, 719 KB

english, 2016

23

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

Roman Šimon Hilscher

Journal:

Linear Algebra and its Applications

Year:

2012

Language:

english

File:

PDF, 632 KB

english, 2012

24

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

Roman Šimon Hilscher

Journal:

Advances in Difference Equations

Year:

2012

Language:

english

File:

PDF, 284 KB

english, 2012

25

Weyl-Titchmarsh Theory for Time Scale Symplectic Systems on Half Line

Šimon Hilscher, Roman, Zemánek, Petr

Journal:

Abstract and Applied Analysis

Year:

2011

Language:

english

File:

PDF, 882 KB

english, 2011

26

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

Martin Bohner, Werner Kratz, Roman Šimon Hilscher

Journal:

Mathematische Nachrichten

Year:

2012

Language:

english

File:

PDF, 209 KB

english, 2012

27

Rayleigh principle for linear Hamiltonian systems without controllability

Kratz, Werner, Hilscher, Roman Šimon

Journal:

ESAIM Control Optimisation and Calculus of Variations

Year:

2012

Language:

english

File:

PDF, 339 KB

english, 2012

28

Singular Sturmian separation theorems on unbounded intervals for linear Hamiltonian systems

Šepitka, Peter, Šimon Hilscher, Roman

Journal:

Journal of Differential Equations

Year:

2019

File:

PDF, 750 KB

2019

29

Principal and antiprincipal solutions at infinity of linear Hamiltonian systems

Šepitka, Peter, Šimon Hilscher, Roman

Journal:

Journal of Differential Equations

Year:

2015

Language:

english

File:

PDF, 579 KB

english, 2015

30

Eigenvalue and oscillation theorems for time scale symplectic systems

Kratz, Werner, Hilscher, Roman Simon, Zeidan, Vera

Journal:

International Journal of Dynamical Systems and Differential Equations

Year:

2011

Language:

english

File:

PDF, 381 KB

english, 2011

31

Dominant and recessive solutions at infinity and genera of conjoined bases for discrete symplectic systems

Šepitka, Peter, Šimon Hilscher, Roman

Journal:

Journal of Difference Equations and Applications

Year:

2017

Language:

english

File:

PDF, 3.26 MB

english, 2017

32

Eigenvalue theory for time scale symplectic systems depending nonlinearly on spectral parameter

Roman Šimon Hilscher

Journal:

Applied Mathematics and Computation

Year:

2012

Language:

english

File:

PDF, 425 KB

english, 2012

33

Principal Solutions at Infinity of Given Ranks for Nonoscillatory Linear Hamiltonian Systems

Šepitka, Peter, Šimon Hilscher, Roman

Journal:

Journal of Dynamics and Differential Equations

Year:

2015

Language:

english

File:

PDF, 574 KB

english, 2015

34

Discrete oscillation theorems for symplectic eigenvalue problems with general boundary conditions depending nonlinearly on spectral parameter

Elyseeva, Julia, Hilscher, Roman Šimon

Journal:

Linear Algebra and its Applications

Year:

2018

Language:

english

File:

PDF, 370 KB

english, 2018

35

On square integrable solutions and principal and antiprincipal solutions for linear Hamiltonian systems

Šimon Hilscher, Roman, Zemánek, Petr

Journal:

Annali di Matematica Pura ed Applicata (1923 -)

Year:

2017

Language:

english

File:

PDF, 718 KB

english, 2017

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