This article is cited in 10 papers

On the Spectral Properties of Differential Operators with Unbounded Operator Coefficients Determined by a Linear Relation

V. B. Didenko

Voronezh State University

Abstract: Necessary and sufficient conditions for the invertibility and the Fredholm property of operators generated by a family of evolution operators and by the boundary conditions determined by a linear relation are obtained.

Keywords: linear relation, invertibility, Fredholm property, Banach space, Banach algebra, evolution operator, Fredholm relation, resolvent set.

UDC: 517

Received: 13.01.2009

DOI: 10.4213/mzm6612

 English version: Mathematical Notes, 2011, 89:2, 224–237

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