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Sectrum of order one for a hyperbolic problem and applications. (Spectre d’ordre un pour un problème hyperbolique et applications.) (French) Zbl 1042.35039
Authors’ abstract: We define and determine the spectrum of order one of the d’Alembertian operator. We resolve the Fredholm alternative and the nonlinear problem at resonance.
MSC:
35P20 Asymptotic distributions of eigenvalues in context of PDEs
35L70 Second-order nonlinear hyperbolic equations
35B34 Resonance in context of PDEs
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