Invertibility of linear relations generated by integral equation with operator measures

DOI10.13108/2014-6-4-48zbMath1463.47011OpenAlexW2326200454MaRDI QIDQ5137203

V. M. Bruk

Publication date: 2 December 2020

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa259

zbMATH Keywords

integral equationHilbert spacespectrumlinear relationquasiderivativeoperator measureimpulse action

Mathematics Subject Classification ID

Green's functions for ordinary differential equations (34B27) Measures and integration on abstract linear spaces (46G12) Abstract integral equations, integral equations in abstract spaces (45N05) Linear relations (multivalued linear operators) (47A06)

Cites Work

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• Formally self-adjoint quasidifferential operators
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• Invertible linear relations generated by an integral equation with Nevanlinna measure
• Sturm-Liouville oscillation theory for impulsive problems
• Spectral analysis of differential operators with unbounded operator-valued coefficients, difference relations and semigroups of difference relations
• On the continuous invertibility and the Fredholm property of differential operators with multi-valued impulse effects
• Analysis of linear differential equations by methods of the spectral theory of difference operators and linear relations
• On the Characteristic Operator of an Integral Equation with a Nevanlinna Measure in the Infinite-Dimensional Case

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