Article ID Journal Published Year Pages File Type
4622688 Journal of Mathematical Analysis and Applications 2007 9 Pages PDF
Abstract

We shall prove a weakened Ambrosetti–Prodi type multiplicity result for a wave equation with sublinear nonlinearity and without damping. Due to infinite-dimensional kernel of the wave operator, the Leray–Schauder and coincidence degrees are not available. We use an extension of the Leray–Schauder degree to obtain multiple solutions.

Related Topics
Physical Sciences and Engineering Mathematics Analysis