| Title:
|
Periodic solutions of hyperbolic partial differential equation with quadratic dissipative term (English) |
| Author:
|
Krylová, Naděžda |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
20 |
| Issue:
|
3 |
| Year:
|
1970 |
| Pages:
|
375-405 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| MSC:
|
35.12 |
| idZBL:
|
Zbl 0214.10402 |
| idMR:
|
MR0283358 |
| DOI:
|
10.21136/CMJ.1970.100974 |
| . |
| Date available:
|
2008-06-09T13:47:49Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/100974 |
| . |
| Reference:
|
[1] L. Amerio: Soluzioni quasi-periodiche, o limitate, di sistemi diflferenziali non lineari quasi-periodiche, o limitati.Ann. di Mat., vol 39 (1955), 97-120. MR 0079687, 10.1007/BF02410765 |
| Reference:
|
[2] И. M. Бабаков: Теория колебаний.Москва, 1958. Zbl 0995.62501 |
| Reference:
|
[3] Е. Hille R. S. Phillips: Functional Analysis and Semi-Groups.Amer. Math. Soc. (1957). MR 0089373 |
| Reference:
|
[4] J. L. Lions: Equations différentielles opérationnelles et problèmes aux limites.Springer-Verlag, Berlin 1961. Zbl 0098.31101, MR 0153974 |
| Reference:
|
[5] J. Nečas: Les méthodes direct en théorie des equations elliptiques.Academia, Praha 1967. MR 0227584 |
| Reference:
|
[6] L. Nirenberg: Remarks on strongly elliptic partial differential equations.Comm. Pure Applied Math., 8 (1955), 649-675. Zbl 0067.07602, MR 0075415, 10.1002/cpa.3160080414 |
| Reference:
|
[7] G. Prodi: Soluzioni periodiche dell'equazioni delle onde con termine dissipativo non lineare.Rend. Sem. Mat. Padova XXXVI, 1, 1966, 37-49. MR 0204822 |
| Reference:
|
[8] G. Prouse: Soluzioni periodiche dell'equazione delle onde non omogenea con termine dissipativo quadratico.Richerche di Mat., Vol. XIII, 2, 1964, 261 - 280. Zbl 0141.28804, MR 0194753 |
| Reference:
|
[9] J. Sather: The intial-boundary value problem for a non-linear hyperbolic equation in relativistic quantum mechanics.Journal of Mathematics and Mechanics, Vol. 16, No 1, 1966, 27-50. MR 0196301 |
| Reference:
|
[10] Taylor A. E., Bochner S.: Linear functionals on certain spaces of abstractly-valued functions.Annals of Math., 39, 1938, 913-944. Zbl 0020.37101, MR 1503445, 10.2307/1968472 |
| Reference:
|
[11] C. H. Wilcox: Initial-boundary value problem for linear hyperbolic partial differential equations of the second order.Arch. Rational Mech. Analysis, 10 (1962), 364-400. MR 0145203 |
| . |
