Periodic solutions of a nonlinear wave equation with Neumann and Dirichlet boundary conditions
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2007), pp. 46-55.

Voir la notice de l'article provenant de la source Math-Net.Ru

@article{IVM_2007_2_a5,
     author = {I. A. Rudakov},
     title = {Periodic solutions of a nonlinear wave equation with {Neumann} and {Dirichlet} boundary conditions},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {46--55},
     publisher = {mathdoc},
     number = {2},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2007_2_a5/}
}
TY  - JOUR
AU  - I. A. Rudakov
TI  - Periodic solutions of a nonlinear wave equation with Neumann and Dirichlet boundary conditions
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2007
SP  - 46
EP  - 55
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2007_2_a5/
LA  - ru
ID  - IVM_2007_2_a5
ER  - 
%0 Journal Article
%A I. A. Rudakov
%T Periodic solutions of a nonlinear wave equation with Neumann and Dirichlet boundary conditions
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2007
%P 46-55
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2007_2_a5/
%G ru
%F IVM_2007_2_a5
I. A. Rudakov. Periodic solutions of a nonlinear wave equation with Neumann and Dirichlet boundary conditions. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2007), pp. 46-55. http://geodesic.mathdoc.fr/item/IVM_2007_2_a5/

[1] Brezis H., Nirenberg L., “Characterizations of the ranges of some nonlinear operators and applications to boundary value problems”, Ann. Scuola Norm. Sup. Pisa, 5:2 (1978), 225–325 | MR

[2] Brezis H., Nirenberg L., “Forced vibration for a nonlinear wave equations”, Comm. Pure Apll. Math., 31:1 (1978), 1–30 | MR | Zbl

[3] Rabinowitz P., “Free vibration for a semilinear wave equation”, Comm. Pure Apll. Math., 31:1 (1980), 31–68 | MR

[4] Plotnikov P. I., “Suschestvovanie schetnogo mnozhestva periodicheskikh reshenii zadachi o vynuzhdennykh kolebaniyakh dlya slabo nelineinogo volnovogo uravneniya”, Matem. sb., 136:4 (1988), 546–560 | MR

[5] Rudakov I. A., “Nelineinye kolebaniya struny”, Vestn. Mosk. un-ta. Ser. 1. Matem. Mekhan., 1984, no. 2, 9–13 | MR | Zbl

[6] Rudakov I. A., “Zadacha o svobodnykh periodicheskikh kolebaniyakh struny s nemonotonnoi nelineinostyu”, UMN, 40:1 (1985), 215–216 | MR | Zbl

[7] Rudakov I. A., “Periodicheskoe po vremeni reshenie uravneniya vynuzhdennykh kolebanii struny s odnorodnymi granichnymi usloviyami”, Differents. uravneniya, 39:11 (2003), 1556–1561 | MR

[8] Barby V., Pavel N. H., “Periodic solutions to nonlinear one dimensional wave equation with $x$-dependent coefficients”, Trans. Amer. Math. Soc., 349:5 (1997), 2035–2048 | DOI | MR

[9] Rudakov I. A., “Periodicheskoe po vremeni reshenie nelineinogo volnovogo uravneniya s nepostoyannymi koeffitsientami”, Fundament. i prikl. matem., 8:3 (2002), 877–886 | MR | Zbl

[10] Rudakov I. A., “Periodicheskie resheniya nelineinogo volnovogo uravneniya s nepostoyannymi koeffitsientami”, Matem. zametki, 76:3 (2004), 427–438 | MR | Zbl

[11] Rabinowitz P., “Periodic solutions of nonlinear hyperbolic partial differential equations”, Comm. Pure Apll. Math., 20 (1967), 145–205 | DOI | MR | Zbl