Article

Combined Problem with Local and Nonlocal Conditions and with General Conjugation Conditions for the Gellerstedt Equation with a Singular Coefficient

М. МирсабуровTermez State University, 190111, Termez, Republic of UzbekistanB. B. AmonovTermez State University, 190111, Termez, Republic of Uzbekistan

Russian Mathematicsjournal2025en

ABI

Abstract

In the Tricomi problem, the value of the desired function is specified at all points of the boundary characteristic. In this paper, we study the correctness of the problem where part of the boundary characteristic is freed from the boundary condition and this missing Tricomi condition is replaced by a nonlocal condition with displacement on the internal characteristic and on the part of the boundary characteristic. On the degeneracy segment, a general conjugation condition is specified.

Topics

Differential Equations and Boundary Problems Numerical methods in engineering Differential Equations and Numerical Methods

Identifiers

DOI: 10.3103/s1066369x25700926

Citations and references

Cited by 08 references

Metrics — AkademScholar · Coming soon