On periodic solutions of some equations of mathematical physics
Applications of Mathematics, Tome 18 (1973) no. 1, pp. 33-42
Some linear and weakly nonlinear partial differential equations with Dirichlet boundary conditions are treated. The necessary and sufficient conditions for the existence and uniqueness of a periodic solution are given and several examples from classical physics are included.
Some linear and weakly nonlinear partial differential equations with Dirichlet boundary conditions are treated. The necessary and sufficient conditions for the existence and uniqueness of a periodic solution are given and several examples from classical physics are included.
@article{10_21136_AM_1973_103446,
author = {Kop\'a\v{c}kov\'a, Marie},
title = {On periodic solutions of some equations of mathematical physics},
journal = {Applications of Mathematics},
pages = {33--42},
year = {1973},
volume = {18},
number = {1},
doi = {10.21136/AM.1973.103446},
mrnumber = {0312044},
zbl = {0249.35057},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1973.103446/}
}
TY - JOUR AU - Kopáčková, Marie TI - On periodic solutions of some equations of mathematical physics JO - Applications of Mathematics PY - 1973 SP - 33 EP - 42 VL - 18 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.21136/AM.1973.103446/ DO - 10.21136/AM.1973.103446 LA - en ID - 10_21136_AM_1973_103446 ER -
Kopáčková, Marie. On periodic solutions of some equations of mathematical physics. Applications of Mathematics, Tome 18 (1973) no. 1, pp. 33-42. doi: 10.21136/AM.1973.103446
[1] O. Vejvoda: Periodic solution of a linear and weakly nonlinear wave equation in one dimension. Czech. Mat. Journ. 14 (89), 1964. | MR | Zbl
[2] M. Sova: Abstract semilinear equations with small nonlinearities. CMUC, no 4, p. 685,1971. | MR | Zbl
[3] N. Krylová: Periodic solutions of hyperbolic partial differential equation with quadratic dissipative term. Czech. Mat. Journ. 20 (95), 1970. | MR
Cité par Sources :