Construction of periodic solutions of nonlinear wave equations with Dirichlet boundary conditions by the Lindstedt series method
نویسندگان
چکیده
منابع مشابه
Construction of periodic solutions of the nonlinear wave equation under strong irrationality conditions by the Lindstedt series method
We prove the existence of oscillatory solutions of the nonlinear wave equation, under irrationality conditions stronger than the usual Diophantine one, by perturbative techniques inspired by the Lindstedt series method originally introduced in classical mechanics to study the existence of invariant tori in quasi-integrable Hamiltonian systems.
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ژورنال
عنوان ژورنال: Journal de Mathématiques Pures et Appliquées
سال: 2004
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2004.01.007