S
Sidorov D.
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A NOTE ON SPECTRAL THEORY OF INTEGRAL-FUNCTIONAL VOLTERRA OPERATORS

Abstract

A concise overview of the spectral theory of integral-functional operators is provided. In the context of analysis, a technique is described for deriving solutions to equations involving operators in a closed form. A constructive theorem has been established, outlining a procedure for determining the eigenvalues and eigenfunctions of these operators. Based on this theory, an analytical approach for generating solutions to a Volterra-type integro-functional inhomogeneous equation is proposed. The example illustrates the proposed theory.

article Article
date_range 2024
language English
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Sidorov D.
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Volterra operator
eigenvalue
asymptotic approximation
integral-functional operator
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