Email this article On Integral Equations the Kernels of Which are Homogeneous Functions of Degree (−1)
- Authors: Barseghyan A.G.1
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Affiliations:
- Institute of Mathematics of Armenian NAS
- Issue: Vol 53, No 1 (2018)
- Pages: 47-55
- Section: Integral Equations
- URL: https://journals.rcsi.science/1068-3623/article/view/228134
- DOI: https://doi.org/10.3103/S1068362318010089
- ID: 228134
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Abstract
The present paper deals with integral equations the kernels of which are homogeneous functions of degree (−1). Factorization approach to such equations is developed. The constructed operator factorization is applied to the equation with a positive symmetric kernel. We prove that in the conservative case, both the homogeneous equation and the corresponding nonhomogeneous equation with a positive free term can possess positive solutions simultaneously.
About the authors
A. G. Barseghyan
Institute of Mathematics of Armenian NAS
Author for correspondence.
Email: anibarseghyan@mail.ru
Armenia, Yerevan
