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@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 -
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