EIGENVALUES AND EIGENFUNCTIONS OF CERTAIN INTEGRAL OPERATORS
Choriyeva Sarvinoz MamatmurodovnaTermez University of Economics and Service 70540101-Mathematics Master's Student
Zenodo (CERN European Organization for Nuclear Research)repository2026
ABI
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.
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