Author: Staněk, Svatoslav
-
Staněk, Svatoslav:
Existence Principles for Singular Vector Nonlocal Boundary Value Problems with $\phi $-Laplacian and their Applications.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 50
(2011),
issue 1,
pp. 99-118
-
Agarwal, Ravi P.; O'Regan, Donal; Staněk, Svatoslav:
Dead cores of singular Dirichlet boundary value problems with $\phi $-Laplacian.
(English).
Applications of Mathematics,
vol. 53
(2008),
issue 4,
pp. 381-399
-
Staněk, Svatoslav:
An almost-periodicity criterion for solutions of the oscillatory differential equation $y''=q(t)y$ and its applications.
(English).
Archivum Mathematicum,
vol. 41
(2005),
issue 2,
pp. 229-241
-
Rachůnková, Irena; Staněk, Svatoslav:
Zeros of derivatives of solutions to singular $(p,n-p)$ conjugate BVPs.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 43
(2004),
issue 1,
pp. 137-141
-
Staněk, Svatoslav:
On solvability of nonlinear boundary value problems for the equation $(x'+g(t,x,x'))'=f(t,x,x')$ with one-sided growth restrictions on $f$.
(English).
Archivum Mathematicum,
vol. 38
(2002),
issue 2,
pp. 129-148
-
Staněk, Svatoslav:
Existence criterions for generalized solutions of functional boundary value problems without growth restrictions.
(English).
Mathematica Slovaca,
vol. 49
(1999),
issue 3,
pp. 305-321
-
Staněk, Svatoslav:
Existence results for functional boundary value problems at resonance.
(English).
Mathematica Slovaca,
vol. 48
(1998),
issue 1,
pp. 43-55
-
Staněk, Svatoslav:
Two-point functional boundary value problems without growth restrictions.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 37
(1998),
issue 1,
pp. 123-142
-
Staněk, Svatoslav:
Nonlinear boundary value problem for second-order differential equations depending on a parameter.
(English).
Mathematica Slovaca,
vol. 47
(1997),
issue 4,
pp. 439-449
-
Staněk, Svatoslav:
On a criterion for the existence of at least four solutions of functional boundary value problems.
(English).
Archivum Mathematicum,
vol. 33
(1997),
issue 3,
pp. 335-348
-
Staněk, Svatoslav:
Solvability of nonlinear functional boundary value problems.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 35
(1996),
issue 1,
pp. 149-158
-
Staněk, Svatoslav:
An application of the Leray-Schauder degree theory to boundary value problem for third and fourth order differential equations depending on the parameter.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 34
(1995),
issue 1,
pp. 155-166
-
Staněk, Svatoslav:
On certain three-point regular boundary value problems for nonlinear second-order differential equations depending on the parameter.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 33
(1994),
issue 1,
pp. 125-132
-
Andres, Ján; Staněk, Svatoslav:
Note to the Lagrange stability of excited pendulum type equations.
(English).
Mathematica Slovaca,
vol. 43
(1993),
issue 5,
pp. 617-630
-
Staněk, Svatoslav:
On a class of functional boundary value problems for second-order functional differential equations with parameter.
(English).
Czechoslovak Mathematical Journal,
vol. 43
(1993),
issue 2,
pp. 339-348
-
Staněk, Svatoslav:
Asymptotic and oscillatory behaviour of solutions of certain second order neutral differential equations with forcing term.
(English).
Mathematica Slovaca,
vol. 42
(1992),
issue 4,
pp. 485-495
-
Staněk, Svatoslav:
Existence of multiple solutions for some functional boundary value problems.
(English).
Archivum Mathematicum,
vol. 28
(1992),
issue 1,
pp. 57-65
-
Staněk, Svatoslav:
Multi-point boundary value problem for a class of functional-differential equations with parameter.
(English).
Mathematica Slovaca,
vol. 42
(1992),
issue 1,
pp. 85-96
-
Staněk, Svatoslav:
On a class of functional boundary value problems for third-order functional differential equations with parameter.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 31
(1992),
issue 1,
pp. 71-82
-
Staněk, Svatoslav:
On the boundedness and periodicity of solutions of second-order functional differential equations with a parameter.
(English).
Czechoslovak Mathematical Journal,
vol. 42
(1992),
issue 2,
pp. 257-270
-
Staněk, Svatoslav:
Periodic solutions of nonlinear second-order differential equations with parameter.
(English).
Mathematica Bohemica,
vol. 117
(1992),
issue 4,
pp. 337-348
-
Staněk, Svatoslav:
Three-point boundary value problem for nonlinear second-order differential equation with parameter.
(English).
Czechoslovak Mathematical Journal,
vol. 42
(1992),
issue 2,
pp. 241-256
-
Staněk, Svatoslav:
Bounded solutions of second order functional differential equations.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 30
(1991),
issue 1,
pp. 97-105
-
Staněk, Svatoslav:
On the boundedness of solutions of nonlinear second-order differential equations with parameter.
(English).
Archivum Mathematicum,
vol. 27
(1991),
issue 2,
pp. 229-241
-
Staněk, Svatoslav:
Three-point boundary value problem for nonlinear third-order differential equations with parameter.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 30
(1991),
issue 1,
pp. 61-74
-
Staněk, Svatoslav:
Existence theorems for almost periodic solutions of first-order differential equations.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 29
(1990),
issue 1,
pp. 93-105
-
Staněk, Svatoslav:
Oscillation behaviour of solutions of neutral delay differential equations.
(English).
Časopis pro pěstování matematiky,
vol. 115
(1990),
issue 1,
pp. 92-99
-
Staněk, Svatoslav:
Three-point boundary value problem of retarded functional-differential equation of the second order with parameter.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 29
(1990),
issue 1,
pp. 107-121
-
Staněk, Svatoslav:
On an almost periodicity criterion of solutions for systems of nonhomogeneous linear differential equations with almost periodic coefficients.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 28
(1989),
issue 1,
pp. 27-42
-
Staněk, Svatoslav:
On oscillations of solutions and their derivatives in a nonlinear third-order differential equation.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 27
(1988),
issue 1,
pp. 185-200
-
Staněk, Svatoslav:
On the Floquet theory of differential equations $y''=Q(t)y$ with a complex coefficient of the real variable.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 27
(1988),
issue 1,
pp. 149-183
-
Staněk, Svatoslav:
Bounds for solutions of a nonlinear differential equation of the third order.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 26
(1987),
issue 1,
pp. 47-55
-
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
-
Staněk, Svatoslav:
On some properties of solutions of the disconjugate equation $y'=q(t)y$ with an almost periodic coefficient $q$.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 25
(1986),
issue 1,
pp. 31-56
-
Staněk, Svatoslav:
A phase of the differential equation $y'=Q(t)y$ with a complex coefficient $Q$ of the real variable.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 25
(1986),
issue 1,
pp. 57-75
-
Staněk, Svatoslav; Vosmanský, Jaromír:
Transformations of linear second order ordinary differential equations.
(English).
Archivum Mathematicum,
vol. 22
(1986),
issue 1,
pp. 55-59
-
Staněk, Svatoslav:
Common increasing dispersions of certain linear second order differential equations.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 24
(1985),
issue 1,
pp. 51-60
-
Staněk, Svatoslav:
A note on the oscillation of solutions of the differential equation $y'+\lambda q(t)y=0$ with an almost periodic coefficient.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 24
(1985),
issue 1,
pp. 67-70
-
Staněk, Svatoslav:
On the intersection of groups of increasing dispersions in two second order oscillatory differential equations.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 24
(1985),
issue 1,
pp. 61-66
-
Staněk, Svatoslav:
On properties of derivatives of the basic central dispersion in an oscillatory equation $y'=q(t)y$ with an almost periodic coefficient $q$.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 23
(1984),
issue 1,
pp. 45-51
-
Staněk, Svatoslav:
On the basic second kind central dispersion of $y'=q(t)y$ with an almost periodic coefficient $q$.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 23
(1984),
issue 1,
pp. 39-44
-
Staněk, Svatoslav:
On the intersection of groups of dispersions of the equation $y'=q(t)y$ and of its accompanying equation.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 23
(1984),
issue 1,
pp. 33-38
-
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
-
Staněk, Svatoslav:
Linear differential equations of the second order with elementary basic central dispersions.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 22
(1983),
issue 1,
pp. 107-113
-
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
-
Staněk, Svatoslav:
On a structure of second order linear differential equations with periodic coefficients having the same discriminant.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 22
(1983),
issue 1,
pp. 91-98
-
Staněk, Svatoslav:
On the basic central dispersion of the differential equation $y'' =q(t)y$ with an almost periodic coefficient.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 22
(1983),
issue 1,
pp. 99-105
-
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
-
Staněk, Svatoslav:
Professor Miroslav Laitoch sexagenarian.
(English).
Czechoslovak Mathematical Journal,
vol. 32
(1982),
issue 2,
pp. 334-337
-
Staněk, Svatoslav:
Životní jubileum profesora Miroslava Laitocha.
(Czech) [Professor Miroslav Laitoch sexagenarian].
Časopis pro pěstování matematiky,
vol. 107
(1982),
issue 2,
pp. 204-208
-
Staněk, Svatoslav:
On limit properties of phases and of central dispersions in the oscillatory equation $y'' = q(t) y$ with a periodic coefficient.
(English).
Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika,
vol. 20
(1981),
issue 1,
pp. 85-92
-
Staněk, Svatoslav:
On some properties of solutions of the second order linear differential equations with periodic coefficients having a common oneparametric continuous group of dispersions.
(English).
Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika,
vol. 20
(1981),
issue 1,
pp. 93-99
-
Staněk, Svatoslav:
On the generalized Floquet theory of disconjugate differential equations $y'' = q(t) y$.
(English).
Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika,
vol. 20
(1981),
issue 1,
pp. 101-115
-
Staněk, Svatoslav:
A note on disconjugate linear differential equations of the second order with periodic coefficients.
(English).
Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika,
vol. 18
(1979),
issue 1,
pp. 93-101
-
Staněk, Svatoslav:
A note on the oscillation of solutions of the differential equation $y''=\lambda q(t)y$ with a periodic coefficient.
(English).
Czechoslovak Mathematical Journal,
vol. 29
(1979),
issue 2,
pp. 318-323
-
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
-
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
-
Staněk, Svatoslav:
On the properties of the fundamental dispersions of the equation $y'=lambda q(t)y$.
(English).
Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika,
vol. 18
(1979),
issue 1,
pp. 51-58
-
Staněk, Svatoslav:
Two-point boundary problem in a second order nonhomogeneous linear differential equation.
(English).
Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika,
vol. 18
(1979),
issue 1,
pp. 59-71
-
Staněk, Svatoslav:
The characteristic multipliers of a block and of an inverse block of second-order linear differential equations with $pi$-periodic coefficients.
(English).
Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika,
vol. 17
(1978),
issue 1,
pp. 39-51
-
Staněk, Svatoslav:
On the structure of second-order linear differential equations with given characteristic multipliers in the generalized Floquet theory.
(English).
Archivum Mathematicum,
vol. 14
(1978),
issue 4,
pp. 235-242
-
Staněk, Svatoslav:
On the structure of the second-order periodic linear differential equations with the same characteristic multipliers.
(English).
Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika,
vol. 17
(1978),
issue 1,
pp. 53-60
-
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
-
Staněk, Svatoslav:
Asymptotic properties of derivatives of central dispersions of the $k$-th kind for the differential equation $y''=q(t)y$.
(English).
Czechoslovak Mathematical Journal,
vol. 27
(1977),
issue 4,
pp. 644-662
-
Staněk, Svatoslav:
A criterion for determining the 2$^nd$ order linear differential equations possessing the central dispersion with the index $n$ equal to $t+\pi$.
(English).
Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika,
vol. 16
(1977),
issue 1,
pp. 75-79
-
Staněk, Svatoslav:
Integral properties of coefficients of the 2$^nd$ order linear differential equations having the same distribution of zeros of solutions.
(English).
Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika,
vol. 16
(1977),
issue 1,
pp. 69-73
-
Staněk, Svatoslav:
On an algebraic structure of a group of phases.
(English).
Mathematica Slovaca,
vol. 27
(1977),
issue 4,
pp. 423-430
-
Neuman, František; Staněk, Svatoslav:
On the structure of second-order periodic differential equations with given characteristic multipliers.
(English).
Archivum Mathematicum,
vol. 13
(1977),
issue 3,
pp. 149-157
-
Staněk, Svatoslav:
On asymptotic properties of central dispersions of the $k$-th kind of $y''=q(t)y$, $k=1,2,3,4$.
(English).
Archivum Mathematicum,
vol. 12
(1976),
issue 2,
pp. 87-98
-
Staněk, Svatoslav:
Asymptotic properties of dispersions of the differential equations $y''=q(t)y$.
(English).
Archivum Mathematicum,
vol. 11
(1975),
issue 2,
pp. 85-98
-
Staněk, Svatoslav:
Bemerkung zum Tschaplyginschen Satz über Differentialungleichungen.
(German) [Remark on Chaplygin theorem on differential equations].
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica-Physica-Chemica,
vol. 12
(1972),
issue 1,
pp. 41-44
-
Staněk, Svatoslav:
Angenäherte Lösung eines Systems von Integro-Differentialgleichungen mittels der Methode von S. A. Tschaplygin.
(German) [Approximative solution of a system of integro-differential equations by S. A. Tschaplygin's method].
Časopis pro pěstování matematiky,
vol. 95
(1970),
issue 3,
pp. 256-268
-
Staněk, Svatoslav:
Eine Bemerkung zur Lösung der Operatorgleichung $P(y) = 0$.
(German).
Matematický časopis,
vol. 20
(1970),
issue 4,
pp. 270-277
-
Staněk, Svatoslav:
O jistém zobecnění Picard-Lindelöfovy metody postupných aproximací řešení diferenciální rovnice $y'=f(x,y)$.
(Czech) [On certain generalization of Picard-Lindelöf's method of successive approximation of the solution of differential equation $y'=f(x,y)$].
Časopis pro pěstování matematiky,
vol. 94
(1969),
issue 1,
pp. 1-14
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