On some classes of integro-differential equations on the half-line and related operator functions

DOI10.1090/S0077-1554-2013-00197-1zbMath1285.47054OpenAlexW2045556825MaRDI QIDQ2837775

V. V. Vlasov

Publication date: 11 July 2013

Published in: Transactions of the Moscow Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0077-1554-2013-00197-1

zbMATH Keywords

integro-differential equationoperator functionexponential solution

Mathematics Subject Classification ID

Functional-differential equations in abstract spaces (34K30) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Growth, boundedness, comparison of solutions to functional-differential equations (34K12) Integro-differential operators (47G20)

Cites Work

• Elliptic equations in Hilbert space and associated spectral problems
• Introduction to functional differential equations
• Functional-differential equations in Sobolev spaces and related problems of spectral theory
• A phragmén-lindelöf theorem in harmonic analysis and its application to some questions in the theory of elliptic equations
• Solubility and properties of solutions of functional-differential equations in Hilbert space
• Properties of solutions of ordinary differential equations in banach space
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