On the trichotomy of solutions of a nonlinear second-order vector differential equation
Ján Andres; Jarosław Mikołajski; Jindřich Palát
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (1988)
- Volume: 27, Issue: 1, page 211-224
- ISSN: 0231-9721
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topAndres, Ján, Mikołajski, Jarosław, and Palát, Jindřich. "Über die Trichotomie von Lösungen einer nichtlinearen Vektordifferentialgleichung zweiter Ordnung." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 27.1 (1988): 211-224. <http://eudml.org/doc/23473>.
@article{Andres1988,
author = {Andres, Ján, Mikołajski, Jarosław, Palát, Jindřich},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {bounded solutions},
language = {ger},
number = {1},
pages = {211-224},
publisher = {Palacký University Olomouc},
title = {Über die Trichotomie von Lösungen einer nichtlinearen Vektordifferentialgleichung zweiter Ordnung},
url = {http://eudml.org/doc/23473},
volume = {27},
year = {1988},
}
TY - JOUR
AU - Andres, Ján
AU - Mikołajski, Jarosław
AU - Palát, Jindřich
TI - Über die Trichotomie von Lösungen einer nichtlinearen Vektordifferentialgleichung zweiter Ordnung
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 1988
PB - Palacký University Olomouc
VL - 27
IS - 1
SP - 211
EP - 224
LA - ger
KW - bounded solutions
UR - http://eudml.org/doc/23473
ER -
References
top- Ding T., Unbounded solutions of conservative oscillations under roughly periodic perturbations, Chin. Ann. Math. B5, 4, 1984, 687-694. (1984) MR0795476
- Ding T., Boundedness of solutions of Duffing's equation, J. Diff. Eqns 61, 2, 1986, 178-207. (1986) Zbl0619.34038MR0823401
- Ding T., An answer to Littlewood’s problem on boundedness for super-linear Duffing's equation, Preprint, 1986. (1986)
- Andres O., Palát O., Über die Existenz einer begrenzten und periodischen Lösung der nichtlinearisierte Jacobischen Gleichung mit negativ Definitivem Träger, Acta UPO 88, Math.26, 1987 (im Druck). (1987) MR1033332
- Andres J., A useful proposition to nonlinear differential systems with a solution of the prescribed properties, Acta URO 85, Math. 25, 1986, 157-164. (1986) MR0918373
- Bebernes O. W., Jackson L. K., Infinite interval boundary value problems for y'' = f(x, y), Duke Math. J. 34, 1, 1967, 39-48. (1967) Zbl0145.33102MR0206386
- Kiguradze I. T., On the non-negative non-increasing solutions of non-linear second order differential equations, Ann. Math. Pura Appl. 4, 81, 1969, 162-192. (1969) MR0248398
- Abduvaitov, Ch., Někotorye dostatočnye uslovija suščestvovanija periodičeskich i ograničennych rešenij nělinějnych differencialnych uravněnij vtorogo porjadka, Diff. Uгav. 21, 12, 1985, 2027-2036. (1985) MR0821843
- Jackson L., Subfunctions and second order ordinary differential inequalities, Adv. Math. 2, 1968, 307-363. (1968) MR0229896
- Bernfeld S. R., Lakshmikantham V., An introduction to nonlinear boundary value problems, Academic Press, Inc., New York - London 1974, 44-46. (1974) Zbl0286.34018MR0445048
- Schrader K., Second and third order boundary value problems, Proceed. Amer. Math. Soc. 32, 1972, 247-252. (1972) Zbl0212.11303MR0291548
- Hille E., On the Landau - Kallman - Rota inequality, J. Approx. Theory 6, 1972, 117-122. (1972) Zbl0238.47007MR0343095
- Hartman P., Ordinary differential equations, Wiley, New York, 1964, 429. (1964) Zbl0125.32102MR0171038
- Granas A., Guenther R. B., Lee J.W., O'Regan D., Boundary value problems on infinite intervals and semiconductor devices, J. Math. Anal. Appl. 116, 2, 1986, 335-348. (1986) Zbl0594.34019MR0842804
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