Work

On the smoothness of a generalized solution of a semi-nonlocal boundary value problem for a fourth-order mixed type equation of the second kind

Year: 2024

Type: article

Abstract: In this paper, we investigate the unique solvability of a regular solution and the smoothness of a generalized solution of a semi-nonlocal boundary value problem for a fourth-order mixed-type equation of the second kind in Sobolev spaces.Theorems of uniqueness are proved by the energy integral method, and the existence and smoothness of the solution are proved by the methods of "ε-regularization", a priori estimates, modified Galerkin methods, and the Fourier method.

Source: Journal of contemporary applied mathematics.

DOI: 10.69624/2222-5498.2024.2.108

Authors: Sirojiddin Z. Dzhamalov, Bakhtiyor B. Khalkhadzhaev, Sayyora T. Tuychiyeva

Institutions: Academy of Sciences Republic of Uzbekistan, Tashkent Institute of Management and Economics, Tashkent State Transport University

Language: English

Topic: Differential Equations and Boundary Problems

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4405598780

FWCI: 0.934

Cites: 7

Cited by: 3

Related to: 10