DOAJ Open Access 2022

Solvability of an initial-boundary value problem for a nonlinear pseudoparabolic equation with degeneration

S.E. Aitzhanov Zh. Tileuberdi G. Sanat

Abstrak

This article is devoted to the solvability of degenerate nonlinear equations of pseudoparabolic type. Such problems appear naturally in physical and biological models. The article aims to study the solvability in the classes of regular solutions of (all derivatives generalized in the sense of S.L. Sobolev included in the equation) initial-boundary value problems for differential equations. For the problems under consideration, We have found conditions on parameters ensuring the existence of solutions and we have proved existence and uniqueness theorems. The main method for proving the solvability of boundary value problems is the regularization method.

Topik & Kata Kunci

Analysis Analytic mechanics Probabilities. Mathematical statistics

Penulis (3)

S.E. Aitzhanov

Zh. Tileuberdi

G. Sanat

Format Sitasi

APA MLA BibTeX

Aitzhanov, S., Tileuberdi, Z., Sanat, G. (2022). Solvability of an initial-boundary value problem for a nonlinear pseudoparabolic equation with degeneration. https://doi.org/10.31489/2022m1/4-12

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Informasi Jurnal

Tahun Terbit: 2022
Sumber Database: DOAJ
DOI: 10.31489/2022m1/4-12
Akses: Open Access ✓