34 Ordinary differential equations
34C20 Transformation and reduction of equations and systems, normal forms (105 articles)
-
Neuman, František:
Coordinate description of analytic relations.
(English).
Mathematica Bohemica,
vol. 131
(2006),
issue 2,
pp. 197-210
-
Risteski, Ice B.:
Reduction of the modified Poincaré differential equation to Birkhoff matrix form.
(English).
Archivum Mathematicum,
vol. 37
(2001),
issue 2,
pp. 103-113
-
Tryhuk, Václav:
On global transformations of functional-differential equations of the first order.
(English).
Czechoslovak Mathematical Journal,
vol. 50
(2000),
issue 2,
pp. 279-293
-
Tryhuk, Václav:
On global transformations of ordinary differential equations of the second order.
(English).
Czechoslovak Mathematical Journal,
vol. 50
(2000),
issue 3,
pp. 499-508
-
Cecchi, M.; Došlá, Zuzana:
Asymptotic behavior of solutions of third order delay differential equations.
(English).
Archivum Mathematicum,
vol. 33
(1997),
issue 1,
pp. 99-108
-
Cecchi, M.; Došlá, Z.; Marini, M.:
Some properties of third order differential operators.
(English).
Czechoslovak Mathematical Journal,
vol. 47
(1997),
issue 4,
pp. 729-748
-
Neuman, František:
Transformation theory of linear ordinary differential equations -- from local to global investigations.
(English).
Archivum Mathematicum,
vol. 33
(1997),
issue 1,
pp. 65-74
-
Berkovich, L. M.; Rozov, N. H.:
Transformations of linear differential equations of second order and adjoined nonlinear equations.
(English).
Archivum Mathematicum,
vol. 33
(1997),
issue 1,
pp. 75-98
-
Nikitin, S.:
Decoupling normalizing transformations and local stabilization of nonlinear systems.
(English).
Mathematica Bohemica,
vol. 121
(1996),
issue 3,
pp. 225-248
-
Laitochová, Jitka:
Associated linear differential equations to linear second order differential equations of Sturm, Jacobi and general form.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 34
(1995),
issue 1,
pp. 127-136
-
Moravčík, Jozef:
Some oscillatory properties of the perturbed linear differential equations of order $n$.
(English).
Archivum Mathematicum,
vol. 31
(1995),
issue 4,
pp. 305-311
-
Čelikovský, Sergej:
Topological equivalence and topological linearization of controlled dynamical systems.
(English).
Kybernetika,
vol. 31
(1995),
issue 2,
pp. 141-150
-
Laitoch, Miroslav:
First phases of the associated equation with parameters for the differential equation $y''=q(t)y$.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 33
(1994),
issue 1,
pp. 75-93
-
Gustafson, Grant B.; Laitoch, Miroslav:
Involutions and iterates of central dispersions.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 33
(1994),
issue 1,
pp. 29-37
-
Hartley, Tom T.; Qammar, Helen K.; Murphy, Larry D.:
Model reduction methods for chaotic systems.
(English).
Kybernetika,
vol. 29
(1993),
issue 5,
pp. 455-468
-
Došlý, Ondřej:
Principal solutions and transformations of linear Hamiltonian systems.
(English).
Archivum Mathematicum,
vol. 28
(1992),
issue 1,
pp. 113-120
-
Mazanik, S. A.:
On Lyapunov transformations of linear systems of implicit differential equations.
(English).
Archivum Mathematicum,
vol. 27
(1991),
issue 2,
pp. 167-173
-
Fialka, Miloslav:
On the position of nodes of associated equations to the differential equation $y'-q(t)y=r(t)$.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 30
(1991),
issue 1,
pp. 107-119
-
Laitochová, Jitka:
A remark to the Floquet theorem for systems of linear differential equations.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 30
(1991),
issue 1,
pp. 121-124
-
Tesaříková, Eva:
Special dispersions of the second order linear differential equations of a finite type special and their relation to the Kummer's transformation problem.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 30
(1991),
issue 1,
pp. 125-141
-
Neuman, František:
Another proof of Borůvka's criterion on global equivalence of the second order ordinary linear differential equations.
(English).
Časopis pro pěstování matematiky,
vol. 115
(1990),
issue 1,
pp. 73-80
-
Čadek, Martin:
A note to pointwise transformations of linear quasi-differential equations.
(English).
Archivum Mathematicum,
vol. 26
(1990),
issue 1,
pp. 27-35
-
Neuman, František:
On Halphen and Laguerre-Forsyth canonical forms of linear differential equations.
(English).
Archivum Mathematicum,
vol. 26
(1990),
issue 2,
pp. 147-154
-
Čadek, Martin:
Pointwise transformations of linear differential equations.
(English).
Archivum Mathematicum,
vol. 26
(1990),
issue 3,
pp. 187-200
-
Tesaříková, Eva:
To the theory of global transformation of the second order linear differential equations of finite type, special.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 29
(1990),
issue 1,
pp. 207-230
-
Beneš, Karel:
Algebraical loops and transformation of variables.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 28
(1989),
issue 1,
pp. 255-263
-
Feťková, Jana:
Asymptotic behaviour of the solutions of a certain type of the third order differential equations.
(English).
Mathematica Slovaca,
vol. 39
(1989),
issue 2,
pp. 215-224
-
Laitochová, Jitka:
On two-dimensional linear spaces of continuous functions of the same character.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 28
(1989),
issue 1,
pp. 151-163
-
Ohriska, Ján:
Oscillation of differential equations and $v$-derivatives.
(English).
Czechoslovak Mathematical Journal,
vol. 39
(1989),
issue 1,
pp. 24-44
-
Lemmert, Roland:
Zur Eindeutigkeitsbedingung von Nagumo.
(German) [On the uniqueness condition of Nagumo].
Commentationes Mathematicae Universitatis Carolinae,
vol. 29
(1988),
issue 2,
pp. 293-294
-
Berkovich, L. M.:
Canonical forms of ordinary linear differential equations.
(English).
Archivum Mathematicum,
vol. 24
(1988),
issue 1,
pp. 25-42
-
Laitochová, Jitka:
On a canonical two-dimensional space of continuous functions.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 27
(1988),
issue 1,
pp. 111-148
-
Osička, Jan:
The sufficient condition of the asymptotic stability of two-dimensional linear systems.
(English).
Archivum Mathematicum,
vol. 24
(1988),
issue 2,
pp. 83-85
-
Schwabik, Štefan:
Generalized Sturm-Liouville equations.
(English).
Archivum Mathematicum,
vol. 23
(1987),
issue 2,
pp. 95-107
-
Staněk, Svatoslav:
On a transformation of solutions of the differential equation $y'=Q(t)y$ with a complex coefficient $Q$ of a real variable.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 26
(1987),
issue 1,
pp. 57-83
-
Laitochová, Jitka:
To the definition of the global transformation in 2-dimensional linear spaces of continuous functions.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 26
(1987),
issue 1,
pp. 33-45
-
Votava, Milan:
Einige Eigenschaften der verallgemeinerten Polarfunktion und der Radonschen Funktion.
(German) [Some properties of the generalized polar functions and of the Radon function].
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 25
(1986),
issue 1,
pp. 117-131
-
-
Borůvka, Otakar:
Sur les blocs des équations différentielles linéaires du deuxième ordre et leurs transformations.
(French) [Blocks of second-order linear differential equations and their transforms].
Časopis pro pěstování matematiky,
vol. 111
(1986),
issue 1,
pp. 78-88
-
Laitochová, Jitka:
On transformations of two homogeneous linear second order differential equations of a general and of Sturm forms.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 25
(1986),
issue 1,
pp. 77-95
-
Neuman, František:
Oscillatory behavior of iterative linear ordinary differential equations depends on their order.
(English).
Archivum Mathematicum,
vol. 22
(1986),
issue 4,
pp. 187-192
-
Staněk, Svatoslav; Vosmanský, Jaromír:
Transformations of linear second order ordinary differential equations.
(English).
Archivum Mathematicum,
vol. 22
(1986),
issue 1,
pp. 55-59
-
Čadek, Martin:
Form of general pointwise transformations of linear differential equations.
(English).
Czechoslovak Mathematical Journal,
vol. 35
(1985),
issue 4,
pp. 617-624
-
Blaško, Rudolf; Háčik, Miloš:
A note on higher monotonicity properties of certain Sturm-Liouville functions. III.
(English).
Archivum Mathematicum,
vol. 21
(1985),
issue 4,
pp. 201-204
-
Došlý, Ondřej:
On transformations of self-adjoint linear differential systems.
(English).
Archivum Mathematicum,
vol. 21
(1985),
issue 3,
pp. 159-170
-
-
Došlý, Ondřej:
Representation of solutions of general linear differential systems of the second order.
(English).
Czechoslovak Mathematical Journal,
vol. 35
(1985),
issue 3,
pp. 444-454
-
-
Zimka, Rudolf:
Гладкое преобразование аналитической системы дифференциальных уравнений к квазинормальной форме.
(Russian) [Smooth transformation of an analytic system of differential equations to quasinormal form].
Mathematica Slovaca,
vol. 35
(1985),
issue 1,
pp. 9-21
-
Voskresenskiĭ, Evgeniĭ Viktorovich:
Покомпонентная асимптотика и гомеоморфизм дифференциальных уравнений на многообразиях.
(Russian) [Componentwise asymptotics and homeomorphism of differential equations on manifolds].
Czechoslovak Mathematical Journal,
vol. 35
(1985),
issue 3,
pp. 455-466
-
-
Kaňovský, Vladimír:
Global transformations of linear differential equations and quadratic functionals. II.
(English).
Archivum Mathematicum,
vol. 20
(1984),
issue 3,
pp. 149-156
-
Haščák, Alexander:
Integral equivalence between a nonlinear system and its nonlinear perturbation.
(English).
Mathematica Slovaca,
vol. 34
(1984),
issue 4,
pp. 393-404
-
Staněk, Svatoslav:
On the intersection of the set of solutions of two Kummer's differential equations.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 23
(1984),
issue 1,
pp. 25-32
-
-
Kojecká, Jitka:
Central projections of a pair of accompanying spaces to a linear two-dimensional space of functions with a continuous first derivative.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 22
(1983),
issue 1,
pp. 61-79
-
Neuman, František:
Global canonical forms of linear differential equations.
(English).
Mathematica Slovaca,
vol. 33
(1983),
issue 4,
pp. 389-394
-
Kaňovský, Vladimír:
Global transformations of linear differential equations and quadratic functionals. I.
(English).
Archivum Mathematicum,
vol. 19
(1983),
issue 3,
pp. 161-171
-
Staněk, Svatoslav:
On a certain transformation of the solution set of two linear second order differential equations.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 22
(1983),
issue 1,
pp. 81-90
-
Kojecká, Jitka:
On phases of accompanying spaces to a linear two-dimensional space of functions with a continuous first derivative.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 22
(1983),
issue 1,
pp. 53-60
-
Pavlíková, Elena:
Higher monotonicity properties of $i$-th derivatives of solutions of $y'' + a(x) y' + b(x) y = 0$.
(English).
Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika,
vol. 21
(1982),
issue 1,
pp. 69-78
-
Haščák, Alexander; Švec, Marko:
Integral equivalence of two systems of differential equations.
(English).
Czechoslovak Mathematical Journal,
vol. 32
(1982),
issue 3,
pp. 423-436
-
Staněk, Svatoslav:
On a structure of the intersection of the set of dispersions of two second-order linear differential equations.
(English).
Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika,
vol. 21
(1982),
issue 1,
pp. 79-85
-
Hošek, Josef:
Jacobische Differentialgleichung mit hyperbolischen Phasen die der primitiven Funktion zur Quadratwurzel aus ihrem Träger gleich sind.
(German) [Jacobi differential equation with hyperbolic phases that are equal to the primitive function of the square root of its carrier].
Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika,
vol. 20
(1981),
issue 1,
pp. 65-75
-
Šoltés, Vincent:
Asymptotic properties of solutions of an $n$-th order nonlinear differential equation with deviating argument.
(English).
Archivum Mathematicum,
vol. 17
(1981),
issue 1,
pp. 59-63
-
-
-
Laitoch, Miroslav:
A note on linear differential equations of the second order with the same basic central dispersion of the first kind.
(English).
Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika,
vol. 20
(1981),
issue 1,
pp. 59-64
-
-
Neuman, František:
On transformations of differential equations and systems with deviating argument.
(English).
Czechoslovak Mathematical Journal,
vol. 31
(1981),
issue 1,
pp. 87-90
-
-
Zeman, Jiří:
Zur Lösung der Wellengleichung.
(German) [To the solution of the wave equation].
Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika,
vol. 19
(1980),
issue 1,
pp. 51-64
-
Steudel, Reinhard:
Zur eindeutigen Lösbarkeit eines nichtlinearen Operatordifferentialgleichungssystems.
(German) [On unique solvability of a system of nonlinear operator differential equations].
Commentationes Mathematicae Universitatis Carolinae,
vol. 21
(1980),
issue 3,
pp. 591-604
-
Barvínek, Erich:
Linear differential transformations of the 2nd order as a representation of an abstract model.
(English).
Archivum Mathematicum,
vol. 16
(1980),
issue 4,
pp. 189-198
-
Tryhuk, Václav:
The most general transformation of homogeneous linear differential retarded equations of the first order.
(English).
Archivum Mathematicum,
vol. 16
(1980),
issue 4,
pp. 225-230
-
Háčik, Miloš:
A note on higher monotonicity properties of certain Sturm Liouville functions.
(English).
Archivum Mathematicum,
vol. 16
(1980),
issue 3,
pp. 153-159
-
Vlček, Vladimír:
On transformations of bundles of solutions of a fourth order iterated linear differential equation.
(English).
Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika,
vol. 19
(1980),
issue 1,
pp. 23-38
-
Staněk, Svatoslav:
On an application of the generalized Floquet theory to the transformation of the equation $y''= q(t) y$ into its associated equation.
(English).
Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika,
vol. 18
(1979),
issue 1,
pp. 81-92
-
Kojecká, Jitka:
On some properties of functions relative to the classes of certain factor spaces.
(English).
Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika,
vol. 18
(1979),
issue 1,
pp. 29-34
-
Staněk, Svatoslav:
On the dispersion structure of the differential equation y"=q(t)y having in the generalized Floquet theory the same characteristic multipliers.
(English).
Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika,
vol. 18
(1979),
issue 1,
pp. 73-79
-
Rachůnková, Irena:
Algebraic properties of phases of the differential equation $y'=q(t)y$.
(English).
Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika,
vol. 17
(1978),
issue 1,
pp. 69-76
-
Vlček, Vladimír:
On a distribution of zeros of solutions of a fourth-order iterated linear differential equation.
(English).
Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika,
vol. 17
(1978),
issue 1,
pp. 85-108
-
Staněk, Svatoslav:
Phase and dispersion theory of the differential equation $y''=q(t)y$ in connection with the generalized Floquet theory.
(English).
Archivum Mathematicum,
vol. 14
(1978),
issue 2,
pp. 109-122
-
Hošek, Josef:
Eine Bemerkung zur sich selbst begleitenden Differentialgleichung.
(German) [A remark on a self-associated differential equation].
Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika,
vol. 16
(1977),
issue 1,
pp. 81-93
-
Trávníček, Stanislav:
Transformationen der Lösungen von Systemen mit gegebenem Element der Matrix $K(t)$.
(German) [Tranformation of solutions of systems with a given matrix entry $K(t)$].
Archivum Mathematicum,
vol. 13
(1977),
issue 4,
pp. 227-233
-
-
-
Neuman, František:
Categorial approach to global transformations of the $n$-th order linear differential equations.
(English).
Časopis pro pěstování matematiky,
vol. 102
(1977),
issue 4,
pp. 350-355
-
Suchomel, Jaromír:
Преобразование линейных однородных дифференциальных уравнений высшего порядка.
(Russian) [Transformation of higher order linear homogeneous differential equations].
Archivum Mathematicum,
vol. 13
(1977),
issue 1,
pp. 41-45
-
-
-
-
Rachůnková, Irena:
On algebraic properties of dispersions of the 3rd and 4th kind of the differential equation $y''=q(t)y$.
(English).
Časopis pro pěstování matematiky,
vol. 100
(1975),
issue 1,
pp. 15-26
-
Hsieh, Po Fang:
On a reduction of nonlinear ordinary differential equations at an irregular type singularity.
(English).
Archivum Mathematicum,
vol. 10
(1974),
issue 3,
pp. 129-147
-
-
-
Brjuno, A. D.:
Локальный метод в нелинейных резонансах.
(Russian) [A local method in nonlinear resonances].
Archivum Mathematicum,
vol. 8
(1972),
issue 4,
pp. 177-178
-
Moravčík, Jozef:
Примечание к одной статье Берковича, Розова и Эйшинского.
(Russian) [Note on a Paper by Berkovic, Rozov and Eisinskii].
Matematický časopis,
vol. 22
(1972),
issue 3,
pp. 226-230
-
Trávníček, Stanislav; Zaoral, Jaroslav:
Transformation der Lösungen der Systeme von vier linearen Differentialgleichungen 1. Ordnung.
(German) [Transformation of solutions of systems of four linear differential equations of first order].
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica-Physica-Chemica,
vol. 11
(1971),
issue 1,
pp. 119-129
-
Barvínek, Erich:
Some properties of linear homogeneous transformation of independent variable in ordinary differential linear equations.
(English).
Aplikace matematiky,
vol. 16
(1971),
issue 6,
pp. 431-438
-
Neuman, František:
Note on Kummer's transformation.
(English).
Archivum Mathematicum,
vol. 6
(1970),
issue 3,
pp. 185-188
-
Berkovich, L. M.:
Об одном классе неавтономных нелинейных дифференциальных уравнений $n$-го порядка.
(Russian) [On certain class of nonautonomous nonlinear differential equations of order $n$].
Archivum Mathematicum,
vol. 6
(1970),
issue 1,
pp. 7-13
-
Trávníček, Stanislav:
О некоторых преобразованиях решений систем линейных дифференциальных уравнений первого порядка.
(Russian) [Certain transformations of the solutions of systems of first order linear differential equations].
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica-Physica-Chemica,
vol. 7
(1966),
issue 1,
pp. 89-95
-
Hustý, Zdeněk:
Adjungierte und selbstadjungierte lineare Differentialgleichungen.
(German) [Adjoint and self-adjoint linear differential equations].
Archivum Mathematicum,
vol. 1
(1965),
issue 1,
pp. 21-34
-
Palát, Jindřich:
Пример к теории преобразования и дисперсий О. Борувка.
(Russian) [An example of the transformation and dispersion theory of O. Borůvka].
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica-Physica-Chemica,
vol. 4
(1963),
issue 1,
pp. 63-68