| Title:
|
Abstract semilinear equations with small nonlinearities (English) |
| Author:
|
Sova, Miroslav |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
12 |
| Issue:
|
4 |
| Year:
|
1971 |
| Pages:
|
785-805 |
| . |
| Category:
|
math |
| . |
| MSC:
|
35L05 |
| MSC:
|
35Q99 |
| MSC:
|
47H10 |
| MSC:
|
47H15 |
| MSC:
|
47J05 |
| idZBL:
|
Zbl 0235.47034 |
| idMR:
|
MR0291912 |
| . |
| Date available:
|
2008-06-05T20:37:07Z |
| Last updated:
|
2012-04-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105384 |
| . |
| Reference:
|
[1] J. K. HALE: Periodic solutions of a class of hyperbolic equations containing a small parameter.Arch. Ration. Mech. Anal. 23 (1967), 380-398. Zbl 0152.10002, MR 0206503 |
| Reference:
|
[2] H. LOVICAROVÁ: Periodic solutions of a weakly nonlinear wave equation in one dimension.Czech. Math. J. 19 (1969), 324-342. MR 0247249 |
| Reference:
|
[3] L. de SIMON G. TORELLI: Soluzioni periodiche di equazioni a derivate parziali di tipo iperbolico non lineari.Ren. Sem. Mat. Univ. Padova 40 (1968), 380-401. MR 0228836 |
| Reference:
|
[4] G. TORELLI: Soluzioni periodiche dell'equazione non lineare $u\sb{tt}-u\sb{xx}+\varepsilon F(x,\,t,\,u)=0$.Rend. Ist. di Matem. Univ. Trieste. 1 (1969), 123-137. MR 0271520 |
| Reference:
|
[5] S. BANCROFT J. K. HALE D. SWEET: Alternative problems for nonlinear functional equations.J. of Diff. Equations 4 (1968), 40-56. MR 0220118 |
| Reference:
|
[6] W. S. HALL: On the existence of periodic solutions for the equations $D\sb{tt}u+(-1)\sp{p}\,D\sb{x}\sp{2p}u=\varepsilon f(·,·,u)$.J. of Diff. Equations 7 (1970), 509-526. MR 0265738 |
| . |
