| Title:
|
A linear and weakly nonlinear equation of a beam: the boundary-value problem for free extremities and its periodic solutions (English) |
| Author:
|
Krylová, Naděžda |
| Author:
|
Vejvoda, Otto |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
21 |
| Issue:
|
4 |
| Year:
|
1971 |
| Pages:
|
535-566 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| MSC:
|
35.12 |
| MSC:
|
42.00 |
| idZBL:
|
Zbl 0226.35008 |
| idMR:
|
MR0289918 |
| DOI:
|
10.21136/CMJ.1971.101055 |
| . |
| Date available:
|
2008-06-09T13:53:40Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101055 |
| . |
| Reference:
|
[1] N. Krylová О. Vejvoda: Periodic solutions to partial diff. equations, especially to a biharmonic wave equation.Atti del Convegno sui problemi di evoluzione. Maggio, 1970. Roma. |
| Reference:
|
[2] W. S. Hall: On the Existence of Periodic solutions for the Equations $D_{tt} u + (- 1)^p D^{2p}_x u = \varepsilon f(., ., m)$.Journal of Differential Equations, Vol. 7, No 3 May 1970, 509-526. MR 0265738, 10.1016/0022-0396(70)90098-7 |
| Reference:
|
[3] W. S. Hall: Periodic Solutions of a class of Weakly Nonlinear Evolution Equations.Archive for Rational Mechanics and Analysis, Vol. 39, N. 4, 1970, 294-322. Zbl 0211.12704, MR 0274914, 10.1007/BF00281367 |
| Reference:
|
[4] H. Petceltová: Periodic solutions of the equation $u_{tt} + u_{xxxx} = \varepsilon f(., ., u)$.to appear. |
| Reference:
|
[5] O. Vejvoda: Periodic solutions of a linear and weakly nonlinear wave equation in one dimension.I, Czech. Math. J., 14 (89), 1964, 341-382. MR 0174872 |
| Reference:
|
[6] D. Ch. Karimov: On the periodical solutions of nonlinear equations of the fourth order.Dokl. Akad. Nauk SSSR, 49 (1945), 618-621. MR 0016195 |
| Reference:
|
[7] D. Ch. Karimov: On the periodical solutions of nonlinear equations of the fourth order.(Russian), Dokl. Akad. Nauk SSSR, 57 (1947), 651-653. MR 0022649 |
| Reference:
|
[8] D. Ch. Karimov: On the periodical solutions of nonlinear equations of the fourth order.(Russian), Dokl. Akad. Nauk Uz. SSR, 1949, No 8, 3-7. MR 0057418 |
| Reference:
|
[9] A. P. Mitrjakov: On the periodic solution of nonlinear partial differential equations of higher order.(Russian), Trudy Uzb. Gos. Univ., 1956, No 65, 31 - 44. |
| Reference:
|
[10] P. V. Solovieff: Sur les solutions périodique de certaines équations non-linéaires du quatrième ordre.Dokl. Akad. Nauk SSSR, 25 (1939), 731-734. MR 0001892 |
| . |
