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Initial value problems and time‐periodic solutions for a nonlinear wave equation
Author(s) -
Ficken F. A.,
Fleishman B. A.
Publication year - 1957
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.3160100303
Subject(s) - value (mathematics) , mathematics , engineering physics , physics , statistics
summary:For $n=2$ and 3 the existence and uniqueness of classical periodic solution of $\square_nu+2au_t+2(B,\nabla_nu)+cu=h(t,x)+\epsilon f(t,x,u,\epsilon)$ $(x=(x_1, x_2,\ldots,x_n))$ is proved assuming the periodicity of the right-hand side