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| Open Access | EIGENVALUES AND EIGENFUNCTIONS OF CERTAIN INTEGRAL OPERATORS
Choriyeva Sarvinoz Mamatmurodovna , Termez University of Economics and Service 70540101-Mathematics Master's StudentAbstract
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.
Keywords
integral operator, eigenvalue, eigenfunction, Fredholm operator, Volterra operator, spectral theory.
References
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Gohberg I., Goldberg S., Kaashoek M.A. Basic Classes of Linear Operators. Birkhäuser, Basel, 2003.
Hackbusch W. Integral Equations: Theory and Numerical Treatment. Birkhäuser, Basel, 1995.
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This work is licensed under a Creative Commons Attribution 4.0 International License.