%0 Journal Article %J SIAM J. Math. Anal. 40 (2008) 382-412 %D 2008 %T Forced Vibrations of a Nonhomogeneous String %A P Baldi %A Massimiliano Berti %X We prove existence of vibrations of a nonhomogeneous string under a nonlinear time periodic forcing term in the case in which the forcing frequency avoids resonances with the vibration modes of the string (nonresonant case). The proof relies on a Lyapunov-Schmidt reduction and a Nash-Moser iteration scheme. %B SIAM J. Math. Anal. 40 (2008) 382-412 %G en_US %U http://hdl.handle.net/1963/2643 %1 1480 %2 Mathematics %3 Functional Analysis and Applications %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2008-05-07T08:29:52Z\\nNo. of bitstreams: 1\\nBaldiBerti06-1.pdf: 277037 bytes, checksum: 6abb75a412da123c87879c25714e41b2 (MD5) %R 10.1137/060665038