New existence and localization results for the nonlinear wave equation are established by means of the Schauder fixed point theorem. The main idea is to handle two equivalent operator forms of the wave equation, one of fixed point type giving the operator to which the Schauder theorem applies and an other one of coincidence type for the localization of a solution.
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania
Nonlinear wave equation; nonlinear operator; localization
R. Precup, A note on the solvability of the nonlinear wave equation, Rev. Anal. Numér. Théor. Approx. 33 (2004) no. 2, 237-241.
About this paper
Revue d’analyse numérique et de théorie d’approximation
ISSN 1222-9024, ISSN-L 1222-9024, ISSN-E 2457-8126
MR2192473, Zbl pre05003794.
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 Precup, R., Existence and localization results for the nonlinear wave equation, to appear.