In this paper we introduce the notion of a characteristic matrix for a large class of unbounded operators and study the precise connection between characteristic matrices and spectral properties of evolutionary systems. In particular, we study so-called multiplicity theorems. Several examples will illustrate our results.
机构:
Department of Applied Mathematics, University of Campinas & INCT-GP, CampinasDepartment of Applied Mathematics, University of Campinas & INCT-GP, Campinas
Biloti R.
Ramos J.D.P.
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机构:
Instituto Kumon de Educação Ltda., São PauloDepartment of Applied Mathematics, University of Campinas & INCT-GP, Campinas
Ramos J.D.P.
Yuan J.-Y.
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机构:
Department of Mathematics, Federal University of Paraná, CuritibaDepartment of Applied Mathematics, University of Campinas & INCT-GP, Campinas