Published February 15, 2026 | Version v1
Dataset Open

EIGENVALUES AND EIGENFUNCTIONS OF CERTAIN INTEGRAL OPERATORS

Authors/Creators

  • 1. Termez University of Economics and Service 70540101-Mathematics Master's Student

Description

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.

Files

315-316.pdf

Files (249.4 kB)

Name Size Download all
md5:1d85d70ef1a560e4fb4dfefc9fd25820
249.4 kB Preview Download

Additional details

References

  • Kress R. Linear Integral Equations. Springer, New York, 2014.
  • Kreyszig E. Introductory Functional Analysis with Applications. Wiley, New York, 1978.
  • Atkinson K.E. The Numerical Solution of Integral Equations of the Second Kind. Cambridge University Press, 1997.
  • Tricomi F.G. Integral Equations. Dover Publications, New York, 1985.
  • Gohberg I., Goldberg S., Kaashoek M.A. Basic Classes of Linear Operators. Birkhäuser, Basel, 2003.