| Title:
|
A note on existence of bounded solutions of an $n$-th order ODE on the real line (English) |
| Author:
|
Krajc, Bohumil |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
37 |
| Issue:
|
1 |
| Year:
|
1998 |
| Pages:
|
57-67 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34B15 |
| MSC:
|
34C11 |
| MSC:
|
34C25 |
| idZBL:
|
Zbl 0967.34034 |
| idMR:
|
MR1690474 |
| . |
| Date available:
|
2009-01-29T15:51:37Z |
| Last updated:
|
2012-05-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120383 |
| . |
| Reference:
|
[1] Andres J.: Note to the paper of Fučík and Mawhin.Comment. Math. Univ. Carolinae 31, 2 (1990), 223-226. Zbl 0715.34080, MR 1077892 |
| Reference:
|
[2] Andres J.: Large-period forced oscillations to higher-order pendulum-type equations.Diff. Equations and Dynam. Systems 3, 4 (1995), 407-421. Zbl 0878.34023, MR 1386758 |
| Reference:
|
[3] Andres J., Gabor G., Górniewicz L.: Boundary value problems on infinite intervals.To appear in Trans. Amer. Math. Soc. MR 1603870 |
| Reference:
|
[4] Andres J., Krajc B.: Unified approach to bounded, periodic and almost periodic solutions of differential systems.Annal. Math. Silesianae 11 (1997), 39-53. Zbl 0899.34029, MR 1604867 |
| Reference:
|
[5] Andres J., Turský T.: Asymptotic estimates of solutions and their derivatives for n-th order nonhomogeneous ordinary differential equations with constant coefficients.Discussiones Math. Diff. Inclusions 16, 1 (1996), 75-89. MR 1429037 |
| Reference:
|
[6] Cecchi M., Furi M., Marini M.: About the solvability of ordinary differential equations with asymptotic boundary conditions.Boll. U. M. I. (6) 4-C, 1 (1985), 329-345. Zbl 0587.34013, MR 0805224 |
| Reference:
|
[7] Demidowitch B. P.: Lectures on the Mathematical Stability Theory.Nauka, Moscow, 1967, 360-364 (in Russian). |
| Reference:
|
[8] Mawhin J.: Periodic solutions of some perturbed differential equations.Boll. U. M. I. (4) 11, Suppl. 3 (1975), 299-305. Zbl 0321.34031, MR 0399586 |
| Reference:
|
[9] Reissig R.: Perturbation of a certain critical n-th order differential equation.Boll. U. M. I. (4) 11, Suppl. 3 (1975), 131-141. Zbl 0317.34033, MR 0390379 |
| Reference:
|
[10] Šeda V., Nieto J. J., Gera M.: Periodic boundary value problems for nonlinear higher order ordinary differential equations.Appl. Math. Comput. 48 (1992), 71-82. MR 1147728 |
| Reference:
|
[11] Ward J. R., Jr.: Asymptotic conditions for periodic solutions of ordinary differential equations.Proceed. Amer. Math. Soc. 81, 3 (1981), 415-420. Zbl 0461.34029, MR 0597653 |
| . |
