ON VEKUA-ERDELYI-LOWNDES TYPE TRANSMUTATION
Section: GENERAL SECTION
Authors:
1.
Voronezh State University
Russian Federation
Russian Federation
2.
Voronezh State University
Russian Federation
Russian Federation
Type:
Сonference article
Pages:
from 64
to 70
Published:
30.12.2025
Subject area:
UDC 517.95
Language:
Russian
Keywords:
transformation operator, entanglement property, integral operator, kernel, Vekua-Erdelyi-Lowndes operators, Volterra operator, intertwining operator
Abstract (English):
The article develops transformation operators of the Vekua-Erdelyi-Lowndes type that operate on the first derivative. These operators are useful for addressing a broad spectrum of problems related to heat conduction equations.
The article develops transformation operators of the Vekua-Erdelyi-Lowndes type that operate on the first derivative. These operators are useful for addressing a broad spectrum of problems related to heat conduction equations.
Keywords:
transformation operator, entanglement property, integral operator, kernel, Vekua-Erdelyi-Lowndes operators, Volterra operator, intertwining operator
transformation operator, entanglement property, integral operator, kernel, Vekua-Erdelyi-Lowndes operators, Volterra operator, intertwining operator
1. Shishkina E.L. Transmutations, singular and fractional differential equations with applications to mathematical physics / E.L. Shishkina, S.M. Sitnik //. Elsevier, Amsterdam; 2020. 592 p. DOI: https://doi.org/10.1016/B978-0-12-819781-3.00017-3; EDN: https://elibrary.ru/IHZIOS
2. Shishkina E. L., Alzamili H., Kudosi A. M., Sitnik S. M. Prilozheniya operatorov preobrazovaniya tipa Vekua – Erdeyi – Laundesa k differencial'nym uravneniyam / Shishkina E. L., Alzamili H., Kudosi A. M., Sitnik S. M. // Prikladnaya matematika & Fizika. 2024. № 56 (1). S. 27–34.
