Anane, Aomar; Chakrone, Omar; Zerouali, Abdellah Nonresonance conditions for a nonlinear hyperbolic problem. (English) Zbl 1144.35039 Adv. Dyn. Syst. Appl. 2, No. 1, 31-40 (2007). Summary: We study the existence of periodic weak solutions of semilinear wave equations in the case of nonresonance. MSC: 35L70 Second-order nonlinear hyperbolic equations 35L20 Initial-boundary value problems for second-order hyperbolic equations 35B10 Periodic solutions to PDEs 35B34 Resonance in context of PDEs Keywords:periodic-Dirichlet problem; d’Alembertian; homotopy argument; eigenvalues PDFBibTeX XMLCite \textit{A. Anane} et al., Adv. Dyn. Syst. Appl. 2, No. 1, 31--40 (2007; Zbl 1144.35039)