EIGENVALUES AND EIGENFUNCTIONS OF CERTAIN INTEGRAL OPERATORS

Zenodo (CERN European Organization for Nuclear Research) 2026 Dataset Open access

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Authors: Choriyeva Sarvinoz Mamatmurodovna
DOI: 10.5281/zenodo.18650785
Cited by: 0

Abstract

This paper investigates the problem of determining eigenvalues and eigenfunctions of certain classes of integral operators. Special attention is given to Fredholm and Volterra integral operators with continuous and separable kernels. Using analytical methods, the spectral properties of these operators are studied, and illustrative examples are provided. The obtained results play an important role in functional analysis, integral equation theory, and applications in mathematical physics.

Fields of Study & Subjects

Differential Equations and Boundary Problems Spectral Theory in Mathematical Physics Holomorphic and Operator Theory

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
15 February 2026
Language
EN
Document type
Dataset