Geodesic
Periodic solutions of a~quasilinear wave equation with homogeneous boundary conditions
Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 5, pp. 189-201

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In this paper, we prove the existence of time-periodic weak solutions for the wave equation with homogeneous boundary conditions. This paper deals with the cases where a nonlinear term has a superlinear and sublinear growth. 
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     author = {I. A. Rudakov},
     title = {Periodic solutions of a~quasilinear wave equation with homogeneous boundary conditions},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {189--201},
     publisher = {mathdoc},
     volume = {12},
     number = {5},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2006_12_5_a14/}
}
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I. A. Rudakov. Periodic solutions of a~quasilinear wave equation with homogeneous boundary conditions. Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 5, pp. 189-201. http://geodesic.mathdoc.fr/item/FPM_2006_12_5_a14/