Geodesic
On the existence of periodic solutions of a semilinear wave equation with a superlinear forcing term
Czechoslovak Mathematical Journal, Tome 38 (1988) no. 1, pp. 78-87
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

DOI : 10.21136/CMJ.1988.102202
Classification : 35B10, 35L70, 58E05, 58F22 
@article{10_21136_CMJ_1988_102202,
     author = {Feireisl, Eduard},
     title = {On the existence of periodic solutions of a semilinear wave equation with a superlinear forcing term},
     journal = {Czechoslovak Mathematical Journal},
     pages = {78--87},
     year = {1988},
     volume = {38},
     number = {1},
     doi = {10.21136/CMJ.1988.102202},
     mrnumber = {925942},
     zbl = {0665.35050},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1988.102202/}
}
TY  - JOUR
AU  - Feireisl, Eduard
TI  - On the existence of periodic solutions of a semilinear wave equation with a superlinear forcing term
JO  - Czechoslovak Mathematical Journal
PY  - 1988
SP  - 78
EP  - 87
VL  - 38
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1988.102202/
DO  - 10.21136/CMJ.1988.102202
LA  - en
ID  - 10_21136_CMJ_1988_102202
ER  - 
%0 Journal Article
%A Feireisl, Eduard
%T On the existence of periodic solutions of a semilinear wave equation with a superlinear forcing term
%J Czechoslovak Mathematical Journal
%D 1988
%P 78-87
%V 38
%N 1
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1988.102202/
%R 10.21136/CMJ.1988.102202
%G en
%F 10_21136_CMJ_1988_102202
Feireisl, Eduard. On the existence of periodic solutions of a semilinear wave equation with a superlinear forcing term. Czechoslovak Mathematical Journal, Tome 38 (1988) no. 1, pp. 78-87. doi: 10.21136/CMJ.1988.102202

[1] Bahri A., Berestycki H.: Forced vibrations of superquadratic Hamiltonian systems. Preprint, Université Paris VI, 1981. | MR

[2] Bahri A., Brezis H.: Periodic solutions of a nonlinear wave equation. Proc. Roy. Soc. Edinburgh Sect. A., 85 (1980), 313-320. | MR | Zbl

[3] Lions J. L: Quelques méthodes de resolution des problèmes aux limites non linéaires. Dunod,Gauthier-willars, Paris (1969). | MR | Zbl

[4] Lovicar V.: Free vibrations for the equation $u\sb{tt}-u\sb{xx}+f(u)=0$ with $f$ sublinear. Proc. of Equadiff 5 (Bratislava, 1981), Teubner-Texte zur Mathematik, Band 47, 228-230. | MR

[5] Palais R. S.: Critical point theory and the minimax principle. Proc. Sympos. Pure Math. 15 (1970), 185-212. | MR | Zbl

[6] Rabinowitz P. H.: Large amplitude time periodic solutions of a semilinear wave equation. Comm. Pure. Appl. Math. 37 (1984), 189-206. | DOI | MR | Zbl

[7] Tanaka K.: Infinitely many periodic solutions for the equation $u\sb {tt}-u\sb {xx}±\vert u\vert \sp {s-1}u=f(x,t)$. Proc. Japan. Acad. 61 (1985), Ser. A, 70-73. | MR

Cité par Sources :