34 Ordinary differential equations
34D05 Asymptotic properties (109 articles)
-
Naito, Manabu:
A note on the existence of solutions with prescribed asymptotic behavior for half-linear ordinary differential equations.
(English).
Mathematica Bohemica,
vol. 149
(2024),
issue 3,
pp. 317-336
-
Luey, Sokea; Usami, Hiroyuki:
Asymptotic forms of solutions of perturbed half-linear ordinary differential equations.
(English).
Archivum Mathematicum,
vol. 57
(2021),
issue 1,
pp. 27-39
-
Cheng, Ye; Shi, Bao; Ding, Liangliang:
Consensus of a two-agent system with nonlinear dynamics and time-varying delay.
(English).
Applications of Mathematics,
vol. 66
(2021),
issue 3,
pp. 397-411
-
Hai, Pham Viet:
Polynomial expansiveness and admissibility of weighted Lebesgue spaces.
(English).
Czechoslovak Mathematical Journal,
vol. 71
(2021),
issue 1,
pp. 111-136
-
Du, Bo:
New results on stability of periodic solution for CNNs with proportional delays and $D$ operator.
(English).
Kybernetika,
vol. 55
(2019),
issue 5,
pp. 852-869
-
Beldjerd, Djamila; Remili, Moussadek:
Boundedness and square integrability of solutions of certain third-order differential equations.
(English).
Mathematica Bohemica,
vol. 143
(2018),
issue 4,
pp. 377-389
-
Medveď, Milan; Pekárková, Eva:
Asymptotic integration of differential equations with singular $p$-Laplacian.
(English).
Archivum Mathematicum,
vol. 52
(2016),
issue 1,
pp. 13-19
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Kadeřábek, Zdeněk:
Bautin bifurgation of a modified generalized Van der Pol-Mathieu equation.
(English).
Archivum Mathematicum,
vol. 52
(2016),
issue 1,
pp. 49-70
-
Raffoul, Youssef N.:
Necessary and sufficient conditions for stability of Volterra integro-dynamic equation on time scales.
(English).
Archivum Mathematicum,
vol. 52
(2016),
issue 1,
pp. 21-33
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Došlý, Ondřej; Jansová, Eva; Kalas, Josef:
Eighty fifth anniversary of birthday and scientific legacy of Professor Miloš Ráb.
(English).
Archivum Mathematicum,
vol. 50
(2014),
issue 1,
pp. 1-19
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Omeike, M. O.:
Stability and boundedness of solutions of nonlinear vector differential equations of third order.
(English).
Archivum Mathematicum,
vol. 50
(2014),
issue 2,
pp. 101-106
-
Bartušek, Miroslav; Kokologiannaki, Chrysi G.:
Monotonicity properties of oscillatory solutions of differential equation $(a(t)\vert y^{\prime }\vert ^{p-1}y^{\prime })^{\prime }+f(t,y,y^{\prime })=0$.
(English).
Archivum Mathematicum,
vol. 49
(2013),
issue 3,
pp. 199-207
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Vampolová, Jana:
On Existence and Asymptotic Properties of Kneser Solutions to Singular Second Order ODE.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 52
(2013),
issue 1,
pp. 135-152
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Došlá, Zuzana; Marini, Mauro; Matucci, Serena:
On some boundary value problems for second order nonlinear differential equations.
(English).
Mathematica Bohemica,
vol. 137
(2012),
issue 2,
pp. 113-122
-
Rohleder, Martin:
On the Existence of Oscillatory Solutions of the Second Order Nonlinear ODE.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 51
(2012),
issue 2,
pp. 107-127
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Bartušek, Miroslav; Cecchi, Mariella; Došlá, Zuzana; Marini, Mauro:
Positive solutions of third order damped nonlinear differential equations.
(English).
Mathematica Bohemica,
vol. 136
(2011),
issue 2,
pp. 205-213
-
Sugie, Jitsuro; Onitsuka, Masakazu:
Global asymptotic stability for half-linear differential systems with coefficients of indefinite sign.
(English).
Archivum Mathematicum,
vol. 44
(2008),
issue 4,
pp. 317-334
-
Mustafa, Octavian G.:
On the oscillatory integration of some ordinary differential equations.
(English).
Archivum Mathematicum,
vol. 44
(2008),
issue 1,
pp. 23-36
-
Kamo, Ken-ichi; Usami, Hiroyuki:
Positive unbounded solutions of second order quasilinear ordinary differential equations and their application to elliptic problems.
(English).
Czechoslovak Mathematical Journal,
vol. 58
(2008),
issue 4,
pp. 1153-1165
-
Preda, Petre; Pogan, Alin; Preda, Ciprian:
Functionals on function and sequence spaces connected with the exponential stability of evolutionary processes.
(English).
Czechoslovak Mathematical Journal,
vol. 56
(2006),
issue 2,
pp. 425-435
-
Sadek, A. I.:
On the stability of the solutions of certain fifth order non-autonomous differential equations.
(English).
Archivum Mathematicum,
vol. 41
(2005),
issue 1,
pp. 93-106
-
Bartušek, Miroslav:
Singular solutions for the differential equation with $p$-Laplacian.
(English).
Archivum Mathematicum,
vol. 41
(2005),
issue 1,
pp. 123-128
-
Kamo, Ken-ichi:
Asymptotic equivalence for positive decaying solutions of the generalized Emden-Fowler equations and its application to elliptic problems.
(English).
Archivum Mathematicum,
vol. 40
(2004),
issue 2,
pp. 209-217
-
Megan, Mihail; Sasu, Bogdan; Sasu, Adina Luminiţa:
Exponential expansiveness and complete admissibility for evolution families.
(English).
Czechoslovak Mathematical Journal,
vol. 54
(2004),
issue 3,
pp. 739-749
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Megan, Mihail; Sasu, Adina Luminiţa; Sasu, Bogdan:
Exponential stability and exponential instability for linear skew-product flows.
(English).
Mathematica Bohemica,
vol. 129
(2004),
issue 3,
pp. 225-243
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Megan, Mihail; Sasu, Luminita; Sasu, Bogdan:
Banach function spaces and exponential instability of evolution families.
(English).
Archivum Mathematicum,
vol. 39
(2003),
issue 4,
pp. 277-286
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Palumbíny, Oleg:
On oscillation criteria of fourth order linear differential equations.
(English).
Czechoslovak Mathematical Journal,
vol. 53
(2003),
issue 2,
pp. 467-477
-
Naulin, Raúl:
On the instability of linear nonautonomous delay systems.
(English).
Czechoslovak Mathematical Journal,
vol. 53
(2003),
issue 3,
pp. 497-514
-
Lin, C. S.:
Asymptotic behavior of solutions of a $2n^{th}$ order nonlinear differential equation.
(English).
Czechoslovak Mathematical Journal,
vol. 52
(2002),
issue 3,
pp. 665-672
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Sobalová, Monika:
Asymptotic behaviour of nonoscillatory solutions of the fourth order differential equations.
(English).
Archivum Mathematicum,
vol. 38
(2002),
issue 4,
pp. 311-317
-
Bartušek, M.; Osička, J.:
Asymptotic behaviour of oscillatory solutions of a fourth-order nonlinear differential equation.
(English).
Mathematica Bohemica,
vol. 127
(2002),
issue 3,
pp. 385-396
-
Došlý, Ondřej:
Qualitative theory of half-linear second order differential equations.
(English).
Mathematica Bohemica,
vol. 127
(2002),
issue 2,
pp. 181-195
-
Adamec, Ladislav:
On asymptotic properties of a strongly nonlinear differential equation.
(English).
Czechoslovak Mathematical Journal,
vol. 51
(2001),
issue 1,
pp. 121-126
-
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Diblík, Josef; Růžičková, Miroslava:
Existence of positive solutions of $n$-dimensional system of nonlinear differential equations entering into a singular point.
(English).
Archivum Mathematicum,
vol. 36
(2000),
issue 5,
pp. 435-446
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Kirane, M.; Tatar, N.-E.:
Global existence and stability of some semilinear problems.
(English).
Archivum Mathematicum,
vol. 36
(2000),
issue 1,
pp. 33-44
-
Matucci, Serena:
On asymptotic decaying solutions for a class of second order differential equations.
(English).
Archivum Mathematicum,
vol. 35
(1999),
issue 3,
pp. 275-284
-
Palumbíny, Oleg:
On oscillatory solutions of fourth order ordinary differential equations.
(English).
Czechoslovak Mathematical Journal,
vol. 49
(1999),
issue 4,
pp. 779-790
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Koliha, J. J.; Straškraba, Ivan:
Power bounded and exponentially bounded matrices.
(English).
Applications of Mathematics,
vol. 44
(1999),
issue 4,
pp. 289-308
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Elbert, Árpád:
Additive groups connected with asymptotic stability of some differential equations.
(English).
Archivum Mathematicum,
vol. 34
(1998),
issue 1,
pp. 49-58
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Adamec, Ladislav:
Kinetical systems—local analysis.
(English).
Applications of Mathematics,
vol. 43
(1998),
issue 2,
pp. 111-117
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Tiryaki, Aydın; Çelebi, A. Okay:
Nonoscillation and asymptotic behaviour for third order nonlinear differential equations.
(English).
Czechoslovak Mathematical Journal,
vol. 48
(1998),
issue 4,
pp. 677-685
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Palumbíny, Oleg:
On existence of Kneser solutions of a certain class of $n$-th order nonlinear differential equations.
(English).
Mathematica Bohemica,
vol. 123
(1998),
issue 1,
pp. 49-65
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Parhi, N.; Das, P.:
On the oscillation of a class of linear homogeneous third order differential equations.
(English).
Archivum Mathematicum,
vol. 34
(1998),
issue 4,
pp. 435-443
-
Andres, Ján; Fišer, Jiří; Jüttner, Libor; Velecká, Ivona:
Population dynamics of Bithynia tentaculata.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 37
(1998),
issue 1,
pp. 7-34
-
Medveď, Milan:
Singular integral inequalities and stability of semilinear parabolic equations.
(English).
Archivum Mathematicum,
vol. 34
(1998),
issue 1,
pp. 183-190
-
Adamec, Ladislav:
Kinetical systems.
(English).
Applications of Mathematics,
vol. 42
(1997),
issue 4,
pp. 293-309
-
Džurina, Jozef:
Property (A) of $n$-th order ODE's.
(English).
Mathematica Bohemica,
vol. 122
(1997),
issue 4,
pp. 349-356
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Šeda, Valter:
Some classes of linear $n$th-order differential equations.
(English).
Archivum Mathematicum,
vol. 33
(1997),
issue 1,
pp. 157-165
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Nikitin, S.:
Decoupling normalizing transformations and local stabilization of nonlinear systems.
(English).
Mathematica Bohemica,
vol. 121
(1996),
issue 3,
pp. 225-248
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Andres, Ján; Turský, Tomáš:
On the method of Esclangon.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 35
(1996),
issue 1,
pp. 7-20
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Futák, Ján; Haščák, Alexander:
Asymptotic and integral equivalence of multivalued differential systems.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 34
(1995),
issue 1,
pp. 21-30
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Graef, John R.; Spikes, Paul W.:
Continuability, boundedness, and convergence to zero of solutions of a perturbed nonlinear ordinary differential equation.
(English).
Czechoslovak Mathematical Journal,
vol. 45
(1995),
issue 4,
pp. 663-683
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Neustupa, Jiří:
A principle of linearization in theory of stability of solutions of variational inequalities.
(English).
Mathematica Bohemica,
vol. 120
(1995),
issue 4,
pp. 337-345
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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
-
Klebanov, Boris S.:
On $\omega$-limit sets of nonautonomous differential equations.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 35
(1994),
issue 2,
pp. 267-281
-
Švec, Marko:
Oscillatory properties of a differential inclusion of order $n>1$ and the asymptotic equivalence.
(English).
Czechoslovak Mathematical Journal,
vol. 44
(1994),
issue 3,
pp. 561-569
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Růžičková, Miroslava:
The asymptotic properties of solutions of differential system of the form $g_i(x)y'_i=u_i(y_i)+f_i(x,y_1,\cdots, y_n)$, $i=1,2,\cdots, n$ in some neighbourhood of a singular point.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 32
(1993),
issue 1,
pp. 151-158
-
Došlá, Zuzana; Háčik, Miloš; Muldoon, Martin E.:
Further higher monotonicity properties of Sturm-Liouville functions.
(English).
Archivum Mathematicum,
vol. 29
(1993),
issue 1,
pp. 83-96
-
Džurina, Jozef:
Comparison theorems for nonlinear ODE's.
(English).
Mathematica Slovaca,
vol. 42
(1992),
issue 3,
pp. 299-315
-
Fraňková, Dana:
Substitution method for generalized linear differential equations.
(English).
Mathematica Bohemica,
vol. 116
(1991),
issue 4,
pp. 337-359
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Izobov, N. A.; Stepanovich, O. P.:
Oб инвариантности характеристических показателей линейных систем при экспоненциально убывающих возмущениях.
(Russian) [On the invariance of characteristic exponents of linear systems under exponentially decreasing perturbations].
Archivum Mathematicum,
vol. 26
(1990),
issue 2,
pp. 107,108-114
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Mihalíková, Božena:
Asymptotic behaviour of all solutions of differential systems with deviating arguments.
(English).
Mathematica Slovaca,
vol. 40
(1990),
issue 1,
pp. 71-86
-
Šeda, Valter; Pekár, Ján:
On some properties of the solution of the differential equation $u''+\frac{2u'}{r}=u-u^3$.
(English).
Aplikace matematiky,
vol. 35
(1990),
issue 4,
pp. 315-336
-
Greguš, Michal:
On the asymptotic properties of solutions of nonlinear third order differential equation.
(English).
Archivum Mathematicum,
vol. 26
(1990),
issue 2,
pp. 101-105
-
Kalas, Josef:
Asymptotic behaviour of the equation $\dot z=G(t,z)[h(z)+g(t,z)]$.
(English).
Archivum Mathematicum,
vol. 25
(1989),
issue 3,
pp. 195-206
-
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
-
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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
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Vojtenko, Sergej S.:
Existence conditions for stabilizing and antistabilizing solutions to the nonautonomous matrix Riccati differential equation.
(English).
Kybernetika,
vol. 23
(1987),
issue 1,
pp. 32-43
-
Osička, Jan:
On the asymptotic stability of two-dimensional linear systems.
(English).
Archivum Mathematicum,
vol. 23
(1987),
issue 3,
pp. 171-180
-
Andres, Ján:
Symmetry in a certain simply perturbed Hamiltonian system.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 26
(1987),
issue 1,
pp. 131-138
-
Meisters, Gary H.; Olech, Czesław:
Global asymptotic stability for plane polynomial flows.
(English).
Časopis pro pěstování matematiky,
vol. 111
(1986),
issue 2,
pp. 123-126
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Miklo, Jozef:
On an asymptotic behaviour of solutions of the differential equation of the fourth order.
(English).
Mathematica Slovaca,
vol. 36
(1986),
issue 1,
pp. 69-83
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Andres, Ján:
A useful proposition to nonlinear differential systems with a solution of the prescribed asymptotic properties.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 25
(1986),
issue 1,
pp. 157-164
-
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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
-
Kuben, Jaromír:
Asymptotic equivalence of second order differential equations.
(English).
Czechoslovak Mathematical Journal,
vol. 34
(1984),
issue 2,
pp. 189-202
-
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Kalas, Josef:
On certain asymptotic properties of the solutions of the equation $\dot z=f(t,z)$ with a complex-valued function $f$.
(English).
Czechoslovak Mathematical Journal,
vol. 33
(1983),
issue 3,
pp. 390-407
-
Rovder, Jozef:
Oscillatory properties of the fourth order linear differential equation.
(English).
Mathematica Slovaca,
vol. 33
(1983),
issue 4,
pp. 371-379
-
Kalas, Josef:
On a “Liapunov like” function for an equation $\dot z=f(t,z)$ with a complex-valued function $f$.
(English).
Archivum Mathematicum,
vol. 18
(1982),
issue 2,
pp. 65-76
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Tesařová, Zuzana:
The Riccati differential equation with complex-valued coefficients and application to the equation $x''+P(t)x'+Q(t)x=0$.
(English).
Archivum Mathematicum,
vol. 18
(1982),
issue 3,
pp. 133-143
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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
-
Kalas, Josef:
Asymptotic properties of the solutions of the equation $\dot z=f(t,z)$ with a complex-valued function $f$.
(English).
Archivum Mathematicum,
vol. 17
(1981),
issue 3,
pp. 113-123
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Kalas, Josef:
On the asymptotic behaviour of the equation $dz/dt=f(t,z)$ with a complex-valued function $f$.
(English).
Archivum Mathematicum,
vol. 17
(1981),
issue 1,
pp. 11-22
-
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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
-
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Regenda, Ján:
On some properties of third-order linear differential equation.
(English).
Mathematica Slovaca,
vol. 26
(1976),
issue 1,
pp. 3-18
-
Ráb, Miloš:
Asymptotic behaviour of the equation $x''+p(t)x'+q(t)x=0$ with complex-valued coefficients.
(English).
Archivum Mathematicum,
vol. 11
(1975),
issue 4,
pp. 193-204
-
Kalas, Josef:
Asymptotic behaviour of the system of two differential equations.
(English).
Archivum Mathematicum,
vol. 11
(1975),
issue 3,
pp. 175-186
-
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
-
Zabczyk, Jerzy:
A note on the exponential stability of a matrix Riccati equation of stochastic control.
(English).
Kybernetika,
vol. 11
(1975),
issue 3,
pp. (218)-222
-
Moravský, Ladislav:
Некоторые колеблющиеся свойства решений нелинейного дифференциального уравнения вида $y'''+p(x)y''+q(x)f(y')+r(x)h(y)=0$.
(Russian) [Some oscillation properties of the solutions of the nonlinear differential equation $y'''+p(x)y''+q(x)f(y')+r(x)h(y)=0$].
Archivum Mathematicum,
vol. 11
(1975),
issue 3,
pp. 139-149
-
Res, Ivo:
Asymptotische Eigenschaften einer perturbierten iterierten Differentialgleichung.
(German) [Asymptotic properties of a perturbed iterated differential equation].
Archivum Mathematicum,
vol. 10
(1974),
issue 3,
pp. 149-157
-
Švec, Marko:
Asymptotic relationship between solutions of two systems of differential equations.
(English).
Czechoslovak Mathematical Journal,
vol. 24
(1974),
issue 1,
pp. 44-58
-
Res, Ivo:
Asymptotische Eigenschaften der Lösungen des Systems $\{A^{-1}_{n-1}(x)\dots[A^{-1}_1(x)y']\dots\}'=A_n(x)y$.
(German) [Asymptotic properties of solutions of the system $\{A^{-1}_{n-1}(x)\dots[A^{-1}_1(x)y']\dots\}'=A_n(x)y$].
Archivum Mathematicum,
vol. 9
(1973),
issue 3,
pp. 105-114
-
Šoltés, Pavol:
A Remark on the Oscillatoriness of Solutions of a Non-Linear Third-Order Equation.
(English).
Matematický časopis,
vol. 23
(1973),
issue 4,
pp. 326-332
-
Voráček, Jan:
Über $D'$-divergente Lösungen der Differentialgleichung $x^{(n)}=f(x,x',\ldots,x^{(n-1)};t)$.
(German) [On the $D'$-divergent solution of the differential equation $x^{(n)} = f(x,x',\dots,x^{(n-1)}; t)$].
Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika,
vol. 13
(1973),
issue 1,
pp. 83-89
-
Ráb, Miloš:
Asymptotic expansions of solutions of the equation $(p(x)y')'-q(x)y=0$ with complex-valued coefficients.
(English).
Archivum Mathematicum,
vol. 8
(1972),
issue 1,
pp. 1-15
-
Bartušek, Miroslav:
Connection between asymptotic properties and zeros of solutions of $y''=q(t)y$.
(English).
Archivum Mathematicum,
vol. 8
(1972),
issue 3,
pp. 113-124
-
Ráb, Miloš:
Second order differential equations with complex-valued coefficients.
(English).
Czechoslovak Mathematical Journal,
vol. 22
(1972),
issue 4,
pp. 590-599
-
-
Voráček, Jan:
On the solution of certain non-linear differential equations of the third order.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica-Physica-Chemica,
vol. 11
(1971),
issue 1,
pp. 147-156
-
Zeman, Jiří:
Über asymptotische Eigenschaften von Integralen der Sturm- Liouvilleschen Differentialgleichung mit sog. Übergangspunkt.
(German) [On asymptotic properties of integrals of Sturm-Liouville differential equations with so called transition point].
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica-Physica-Chemica,
vol. 11
(1971),
issue 1,
pp. 163-177
-
Voráček, Jan:
Poznámka o jistých nelineárních diferenciálních rovnicích 3. a 4. řádu.
(Czech) [A note on certain third and fourth order nonlinear differential equations].
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica-Physica-Chemica,
vol. 9
(1968),
issue 1,
pp. 93-101
-
Voráček, Jan:
O některých nelineárních diferenciálních rovnicích třetího řádu.
(Czech) [Certain third order nonlinear differential equations].
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica-Physica-Chemica,
vol. 7
(1966),
issue 1,
pp. 109-127