## Tryhuk, Václav

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 Author ID: tryhuk.vaclav Published as: Tryhuk, Václav; Tryhuk, Vaclav; Tryhuk, V.; Tryhuk, V more...less External Links: ORCID
 Documents Indexed: 35 Publications since 1976 Co-Authors: 3 Co-Authors with 20 Joint Publications

### Co-Authors

 15 single-authored 15 Chrastinová, Veronika 4 Dlouhý, Oldřich 2 Radochova, Darahoslava
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### Serials

 12 Mathematica Slovaca 7 Archivum Mathematicum 6 Czechoslovak Mathematical Journal 3 Mathematica Bohemica 2 Abstract and Applied Analysis 2 Journal of Nonlinear Mathematical Physics 1 Fasciculi Mathematici 1 Applications of Mathematics 1 Advances in Difference Equations
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### Fields

 25 Ordinary differential equations (34-XX) 11 Global analysis, analysis on manifolds (58-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Difference and functional equations (39-XX) 3 Partial differential equations (35-XX) 3 Mechanics of particles and systems (70-XX) 2 Differential geometry (53-XX) 1 Topological groups, Lie groups (22-XX) 1 Optics, electromagnetic theory (78-XX)

### Citations contained in zbMATH Open

23 Publications have been cited 60 times in 28 Documents Cited by Year
The most general transformation of homogeneous retarded linear differential equations of the $$n$$-th order. Zbl 0514.34058
Tryhuk, Vaclav
1983
The most general transformation of homogeneous linear differential retarded equations of the first order. Zbl 0448.34073
Tryhuk, Vaclav
1980
Automorphisms of curves. Zbl 1184.58003
Tryhuk, Václav; Chrastinová, Veronika
2009
On the internal approach to differential equations. I: The involutiveness and standard basis. Zbl 1399.58001
Chrastinová, Veronika; Tryhuk, Václav
2016
Remark on transformations of linear differential and functional-differential equations. Zbl 1057.34040
Tryhuk, Václav
2000
On global transformations of functional-differential equations of the first order. Zbl 1054.34105
Tryhuk, Václav
2000
On the mapping of jet spaces. Zbl 1207.58004
Tryhuk, Václav; Chrastinová, Veronika
2010
The Lie group in infinite dimension. Zbl 1223.22018
Tryhuk, V.; Chrastinová, V.; Dlouhý, O.
2011
Effective criterion for the transformation of linear functional-differential equations of first order into canonical forms with constant coefficients. Zbl 0964.34060
Tryhuk, Václav
1997
On the Mayer problem. I: General principles. Zbl 1032.49027
Chrastinová, Veronika; Tryhuk, Václav
2002
Pointwise transformations of linear functional-differential equations of $$n$$th order. Zbl 0898.34058
Tryhuk, Václav
1997
Automorphisms of submanifolds. Zbl 1197.53009
Chrastinová, Veronika; Tryhuk, Václav
2010
On global transformations of ordinary differential equations of the second order. Zbl 1079.34502
Tryhuk, Václav
2000
On transformations $$z(t) = y(\varphi (t))$$ of ordinary differential equations. Zbl 1079.34505
Tryhuk, Václav
2000
The symmetry reduction of variational integrals. Zbl 1463.49055
Tryhuk, Václav; Chrastinová, Veronika
2018
On the internal approach to differential equations. II: The controllability structure. Zbl 1455.58014
Chrastinová, Veronika; Tryhuk, Václav
2017
On the Mayer problem. II: Examples. Zbl 1032.49028
Chrastinová, Veronika; Tryhuk, Václav
2002
Transformations $$z(t) = L(t)y(\varphi (t))$$ of ordinary differential equations. Zbl 1079.34506
Tryhuk, Václav
2000
On the internal approach to differential equations. III: Infinitesimal symmetries. Zbl 1399.58002
Chrastinová, Veronika; Tryhuk, Václav
2016
The symmetry reduction of variational integrals, complement. Zbl 1463.49054
Chrastinová, Veronika; Tryhuk, Václav
2018
Automorphisms of ordinary differential equations. Zbl 1470.34103
Tryhuk, Václav; Chrastinová, Veronika
2014
An oscillation criterion for third order linear differential equations. Zbl 0362.34024
Tryhuk, Vaclav
1976
The moving frames for differential equations. I: The change of independent variable. Zbl 1116.34301
Tryhuk, Václav; Dlouhý, Oldřich
2003
The symmetry reduction of variational integrals. Zbl 1463.49055
Tryhuk, Václav; Chrastinová, Veronika
2018
The symmetry reduction of variational integrals, complement. Zbl 1463.49054
Chrastinová, Veronika; Tryhuk, Václav
2018
On the internal approach to differential equations. II: The controllability structure. Zbl 1455.58014
Chrastinová, Veronika; Tryhuk, Václav
2017
On the internal approach to differential equations. I: The involutiveness and standard basis. Zbl 1399.58001
Chrastinová, Veronika; Tryhuk, Václav
2016
On the internal approach to differential equations. III: Infinitesimal symmetries. Zbl 1399.58002
Chrastinová, Veronika; Tryhuk, Václav
2016
Automorphisms of ordinary differential equations. Zbl 1470.34103
Tryhuk, Václav; Chrastinová, Veronika
2014
The Lie group in infinite dimension. Zbl 1223.22018
Tryhuk, V.; Chrastinová, V.; Dlouhý, O.
2011
On the mapping of jet spaces. Zbl 1207.58004
Tryhuk, Václav; Chrastinová, Veronika
2010
Automorphisms of submanifolds. Zbl 1197.53009
Chrastinová, Veronika; Tryhuk, Václav
2010
Automorphisms of curves. Zbl 1184.58003
Tryhuk, Václav; Chrastinová, Veronika
2009
The moving frames for differential equations. I: The change of independent variable. Zbl 1116.34301
Tryhuk, Václav; Dlouhý, Oldřich
2003
On the Mayer problem. I: General principles. Zbl 1032.49027
Chrastinová, Veronika; Tryhuk, Václav
2002
On the Mayer problem. II: Examples. Zbl 1032.49028
Chrastinová, Veronika; Tryhuk, Václav
2002
Remark on transformations of linear differential and functional-differential equations. Zbl 1057.34040
Tryhuk, Václav
2000
On global transformations of functional-differential equations of the first order. Zbl 1054.34105
Tryhuk, Václav
2000
On global transformations of ordinary differential equations of the second order. Zbl 1079.34502
Tryhuk, Václav
2000
On transformations $$z(t) = y(\varphi (t))$$ of ordinary differential equations. Zbl 1079.34505
Tryhuk, Václav
2000
Transformations $$z(t) = L(t)y(\varphi (t))$$ of ordinary differential equations. Zbl 1079.34506
Tryhuk, Václav
2000
Effective criterion for the transformation of linear functional-differential equations of first order into canonical forms with constant coefficients. Zbl 0964.34060
Tryhuk, Václav
1997
Pointwise transformations of linear functional-differential equations of $$n$$th order. Zbl 0898.34058
Tryhuk, Václav
1997
The most general transformation of homogeneous retarded linear differential equations of the $$n$$-th order. Zbl 0514.34058
Tryhuk, Vaclav
1983
The most general transformation of homogeneous linear differential retarded equations of the first order. Zbl 0448.34073
Tryhuk, Vaclav
1980
An oscillation criterion for third order linear differential equations. Zbl 0362.34024
Tryhuk, Vaclav
1976
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### Cited by 8 Authors

 19 Tryhuk, Václav 10 Chrastinová, Veronika 5 Neuman, František 3 Čermák, Jan 1 Bereketoglu, Huseyin 1 Dlouhý, Oldřich 1 Lafci, Mehtap 1 Öztepe, Gizem Seyhan
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### Cited in 13 Serials

 8 Mathematica Slovaca 6 Czechoslovak Mathematical Journal 2 Mathematica Bohemica 2 Aequationes Mathematicae 2 Abstract and Applied Analysis 1 Rocky Mountain Journal of Mathematics 1 Journal of Computational and Applied Mathematics 1 Results in Mathematics 1 Applied Mathematics Letters 1 Georgian Mathematical Journal 1 Journal of Nonlinear Mathematical Physics 1 Mediterranean Journal of Mathematics 1 Advances in Difference Equations
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### Cited in 10 Fields

 23 Ordinary differential equations (34-XX) 7 Global analysis, analysis on manifolds (58-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of particles and systems (70-XX) 2 Difference and functional equations (39-XX) 1 Topological groups, Lie groups (22-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Differential geometry (53-XX) 1 Numerical analysis (65-XX)