DOAJ Open Access 2022

Existence and smoothness of solutions of a singular differential equation of hyperbolic type

M.B. Muratbekov Ye.N. Bayandiyev

Abstrak

This paper investigates the question of the existence of solutions to the semiperiodic Dirichlet problem for a class of singular differential equations of hyperbolic type. The problem of smoothness of solutions is also considered, i.e., maximum regularity of solutions. Such a problem will be interesting when the coefficients are strongly growing functions at infinity. For the first time, a weighted coercive estimate was obtained for solutions to a differential equation of hyperbolic type with strongly growing coefficients.

Topik & Kata Kunci

Analysis Analytic mechanics Probabilities. Mathematical statistics

Penulis (2)

M.B. Muratbekov

Ye.N. Bayandiyev

Format Sitasi

APA MLA BibTeX

Muratbekov, M., Bayandiyev, Y. (2022). Existence and smoothness of solutions of a singular differential equation of hyperbolic type. https://doi.org/10.31489/2022M3/98-104

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Informasi Jurnal

Tahun Terbit: 2022
Sumber Database: DOAJ
DOI: 10.31489/2022M3/98-104
Akses: Open Access ✓