DOAJ Open Access 2022

Asymptotic Behavior of Solutions of Integral Equations with Homogeneous Kernels

Oleg Avsyankin

Abstrak

The multidimensional integral equation of second kind with a homogeneous of degree (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>−</mo><mi>n</mi></mrow></semantics></math></inline-formula>) kernel is considered. The special class of continuous functions with a given asymptotic behavior in the neighborhood of zero is defined. It is proved that, if the free term of the integral equation belongs to this class and the equation itself is solvable, then its solution also belongs to this class. To solve this problem, a special research technique is used. The above-mentioned technique is based on the decomposition of both the solution and the free term in spherical harmonics.

Topik & Kata Kunci

Mathematics

Penulis (1)

Oleg Avsyankin

Format Sitasi

APA MLA BibTeX

Avsyankin, O. (2022). Asymptotic Behavior of Solutions of Integral Equations with Homogeneous Kernels. https://doi.org/10.3390/math10020180

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Informasi Jurnal

Tahun Terbit: 2022
Sumber Database: DOAJ
DOI: 10.3390/math10020180
Akses: Open Access ✓