DOAJ Open Access 2021

Boundary value problem for the four-dimensional Gellerstedt equation

A.S. Berdyshev A.R. Ryskan

Abstrak

In this work, the solvability of the problem with Neumann and Dirichlet boundary conditions for the Gellerstedt equation in four variables is investigated. The energy integral method is used to prove the uniqueness of the solution to the problem. In addition to it, formulas for differentiation, autotransformation, and decomposition of hypergeometric functions are applied. The solution is obtained explicitly and is expressed by Lauricella’s hypergeometric function.

Topik & Kata Kunci

Analysis Analytic mechanics Probabilities. Mathematical statistics

Penulis (2)

A.S. Berdyshev

A.R. Ryskan

Format Sitasi

APA MLA BibTeX

Berdyshev, A., Ryskan, A. (2021). Boundary value problem for the four-dimensional Gellerstedt equation. https://doi.org/10.31489/2021m4/35-48

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Informasi Jurnal

Tahun Terbit: 2021
Sumber Database: DOAJ
DOI: 10.31489/2021m4/35-48
Akses: Open Access ✓