Periodic solutions of nonlinear vibrating strings and duality principles
Periodic solutions of nonlinear vibrating strings and duality principles
Introduction.Our lecture deals with the study of T-periodic solutions for the nonlinear vibrating string equation:Here g denotes a continuous function on R such that g(0) = 0 and f(x, t) is a given T-periodic function of t.Problem (1) may be viewed as an infinite-dimensional Hamiltonian system (let us recall that …