Integral Transforms with Non-separated Variables and Discontinuous Coefficients

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2013
• Main Author: Yaremko, O.E.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2013
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/106772
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Integral Transforms with Non-separated Variables and Discontinuous Coefficients / O.E. Yaremko // Журнал математической физики, анализа, геометрии. — 2013. — Т. 9, № 4. — С. 594-603. — Бібліогр.: 10 назв. — англ.

Multidimensional integral transforms with non-separated variables for discontinuous coefficients problems are constructed in the case where the coefficient discontinuities are on the parallel hyperplanes. Explicit kernel formulas for ideal coupling conditions are obtained. The basic integral transfo...