Multi-component mathematical models in multilayer fields by the transformation operators method

TL;DR

This paper explores vector transform operators used to solve boundary value problems in multilayer spherically symmetric fields, providing specific examples for third vector boundary and Dirichlet problems in the right half-plane.

Contribution

It introduces and analyzes vector transform operators for boundary value problems in multilayer fields, with new examples for specific boundary conditions.

Findings

Development of vector transform operators for multilayer spherical fields

Explicit examples for third vector boundary value problem

Solutions for Dirichlet problem in the right half-plane

Abstract

The vector transform operators are investigated; these operators are used at the solution of boundary value problems in piecewise homogeneous spherically symmetric areas. In particular, examples of transformation operators for vector boundary value problems are given for third vector boundary value problem in the the right half-plane and for the Dirichlet problem in the the right half-plane.