Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4622688 | Journal of Mathematical Analysis and Applications | 2007 | 9 Pages |
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.
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