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Sur un probleme aux valeurs propres non line aire

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Abstract

In this paper, we give some sufficient conditions for which the differential operatorP(λ=P 0+λP 1+...+λm−1 P m−1+λm, depending polynomially on the complex parameter λ, verifies the following statement: there exists λ0 ∈ ℂ,u o=0,u 0 ∈ ℒ(ℝn) a Schwartz space of rapidly decreasing functions, such thatP(λ0)u 0=0-.

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Authors and Affiliations

  1. Institut de Mathematiques et d'Informatique, Universite de Nantes, Nantes, France

    Pham The Lai & D. Robert

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  1. Pham The Lai
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  2. D. Robert
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Lai, P.T., Robert, D. Sur un probleme aux valeurs propres non line aire. Israel J. Math. 36, 169–186 (1980). https://doi.org/10.1007/BF02937354

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  • DOI: https://doi.org/10.1007/BF02937354

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