On periodic solutions of some equations of mathematical physics
Applications of Mathematics, Tome 18 (1973) no. 1, pp. 33-42
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

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.
DOI : 10.21136/AM.1973.103446
Classification : 35B10, 35G30, 35L35, 35L99
@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  - 
%0 Journal Article
%A Kopáčková, Marie
%T On periodic solutions of some equations of mathematical physics
%J Applications of Mathematics
%D 1973
%P 33-42
%V 18
%N 1
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.1973.103446/
%R 10.21136/AM.1973.103446
%G en
%F 10_21136_AM_1973_103446
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 :