DOAJ Open Access 2021

On the solvability of a semi-periodic boundary value problem for the nonlinear Goursat equation

N.T. Orumbayeva T.D. Tokmagambetova Zh.N. Nurgalieva

Abstrak

In this paper, by means of a change of variables, a nonlinear semi-periodic boundary value problem for the Goursat equation is reduced to a linear gravity problem for hyperbolic equations. Reintroducing a new function, the obtained problem is reduced to a family of boundary value problems for ordinary differential equations and functional relations. When solving a family of boundary value problems for ordinary differential equations, the parameterization method is used. The application of this approach made it possible to establish the coefficients of the unique solvability of the semi-periodic problem for the Goursat equation and to propose constructive algorithms for finding an approximate solution.

Topik & Kata Kunci

Analysis Analytic mechanics Probabilities. Mathematical statistics

Penulis (3)

N.T. Orumbayeva

T.D. Tokmagambetova

Zh.N. Nurgalieva

Format Sitasi

APA MLA BibTeX

Orumbayeva, N., Tokmagambetova, T., Nurgalieva, Z. (2021). On the solvability of a semi-periodic boundary value problem for the nonlinear Goursat equation. https://doi.org/10.31489/2021M4/110-117

Akses Cepat

PDF tidak tersedia langsung

Cek di sumber asli →

Lihat di Sumber doi.org/10.31489/2021M4/110-117

Informasi Jurnal

Tahun Terbit: 2021
Sumber Database: DOAJ
DOI: 10.31489/2021M4/110-117
Akses: Open Access ✓