| Title:
|
Über die Trichotomie von Lösungen einer nichtlinearen Vektordifferentialgleichung zweiter Ordnung (German) |
| Title:
|
On the trichotomy of solutions of a nonlinear second-order vector differential equation (English) |
| Title:
|
O trichotomii řešení nelineární vektorové diferenciální rovnice druhého řádu (Czech) |
| Author:
|
Andres, Ján |
| Author:
|
Mikołajski, Jarosław |
| Author:
|
Palát, Jindřich |
| Language:
|
German |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
27 |
| Issue:
|
1 |
| Year:
|
1988 |
| Pages:
|
211-224 |
| Summary lang:
|
Czech |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
34A34 |
| MSC:
|
34C11 |
| MSC:
|
34C99 |
| idZBL:
|
Zbl 0707.34030 |
| idMR:
|
MR1039891 |
| . |
| Date available:
|
2009-01-29T15:34:01Z |
| Last updated:
|
2012-05-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120194 |
| . |
| Reference:
|
[1] Ding T.: Unbounded solutions of conservative oscillations under roughly periodic perturbations.Chin. Ann. Math. B5, 4, 1984, 687-694. MR 0795476 |
| Reference:
|
[2] Ding T.: Boundedness of solutions of Duffing's equation.J. Diff. Eqns 61, 2, 1986, 178-207. Zbl 0619.34038, MR 0823401 |
| Reference:
|
[3] Ding T.: An answer to Littlewood’s problem on boundedness for super-linear Duffing's equation.Preprint, 1986. |
| Reference:
|
[4] 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). MR 1033332 |
| Reference:
|
[5] Andres J.: A useful proposition to nonlinear differential systems with a solution of the prescribed properties.Acta URO 85, Math. 25, 1986, 157-164. MR 0918373 |
| Reference:
|
[б] Bebernes O. W., Jackson L. K.: Infinite interval boundary value problems for y'' = f(x, y).Duke Math. J. 34, 1, 1967, 39-48. Zbl 0145.33102, MR 0206386 |
| Reference:
|
[7] 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. MR 0248398 |
| Reference:
|
[8] Abduvaitov, Ch.: Někotorye dostatočnye uslovija suščestvovanija periodičeskich i ograničennych rešenij nělinějnych differencialnych uravněnij vtorogo porjadka.Diff. Uгav. 21, 12, 1985, 2027-2036. MR 0821843 |
| Reference:
|
[9] Jackson L.: Subfunctions and second order ordinary differential inequalities.Adv. Math. 2, 1968, 307-363. MR 0229896 |
| Reference:
|
[10] Bernfeld S. R., Lakshmikantham V.: An introduction to nonlinear boundary value problems.Academic Press, Inc., New York - London 1974, 44-46. Zbl 0286.34018, MR 0445048 |
| Reference:
|
[11] Schrader K.: Second and third order boundary value problems.Proceed. Amer. Math. Soc. 32, 1972, 247-252. Zbl 0212.11303, MR 0291548 |
| Reference:
|
[12] Hille E.: On the Landau - Kallman - Rota inequality.J. Approx. Theory 6, 1972, 117-122. Zbl 0238.47007, MR 0343095 |
| Reference:
|
[13] Hartman P.: Ordinary differential equations.Wiley, New York, 1964, 429. Zbl 0125.32102, MR 0171038 |
| Reference:
|
[14] 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. Zbl 0594.34019, MR 0842804 |
| . |
