This article is cited in 9 papers

On the continuous invertibility and the Fredholm property of differential operators with multi-valued impulse effects

V. B. Didenko

Voronezh State University

Abstract: We obtain necessary and sufficient conditions for the continuous invertibility and the Fredholm property of operators generated by a family of evolution operators, with boundary conditions given by a linear relation and impulse effects also given by a linear relation.

Keywords: continuous invertibility, Fredholm property, family of evolution operators, linear relation, impulse effect.

UDC: 517.9

MSC: Primary 34A37; Secondary 47E05, 93B99

Received: 09.06.2011
Revised: 18.11.2011

DOI: 10.4213/im7800

 English version: Izvestiya: Mathematics, 2013, 77:1, 3–19

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