On the limit amplitude principle for the 1d
Matematičeskoe obrazovanie, no. 4 (2015), pp. 53-58
Cet article a éte moissonné depuis la source Math-Net.Ru
The limit amplitude principle for the 1D non-linear wave equation is proven.
Keywords:
The one-dimensional nonlinear wave equation, periodic initial data, the principle of limiting amplitude.
@article{MO_2015_4_a3,
author = {T. V. Dudnikova},
title = {On the limit amplitude principle for the 1d},
journal = {Matemati\v{c}eskoe obrazovanie},
pages = {53--58},
year = {2015},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MO_2015_4_a3/}
}
T. V. Dudnikova. On the limit amplitude principle for the 1d. Matematičeskoe obrazovanie, no. 4 (2015), pp. 53-58. http://geodesic.mathdoc.fr/item/MO_2015_4_a3/
[1] H. Lamb, “On a peculiarity of the wave-system due to the free vibrations of a nucleus in an extended medium”, Proc. London Math. Soc., 32 (1900), 208–211 | DOI | MR | Zbl
[2] A.I. Komech, “On stabilization of string–nonlinear oscillator interaction”, J. Math. Anal. Appl., 196 (1995), 384–409 | DOI | MR | Zbl
[3] V.A. Pliss, Nelokalnye problemy teorii kolebanii, Nauka, M., 1964, 368 pp. | MR
[4] V.A. Pliss, Integralnye mnozhestva periodicheskikh sistem differentsialnykh uravnenii, Nauka, M., 1977, 304 pp. | MR