Article

On Unique Solvability of a Boundary-Value Problem for a Viscous Transonic Equation

Yu. P. ApakovInstitute of Mathematics, Namangan Regional Department, Uzbekistan Academy of Sciences, 160136, Namangan, Uzbekistan

Lobachevskii Journal of Mathematicsjournal2020en

ABI

Abstract

We consider the second boundary-value problem for a third-order equation with multiple characteristics containing the second derivative with respect to time in a rectangular domain. Uniqueness of the solution is proved by the energy integral method. The Green’s function is constructed for the second boundary-value problem, through which an explicit solution of the problem is written.

Topics

Differential Equations and Boundary Problems Differential Equations and Numerical Methods Advanced Mathematical Modeling in Engineering

Identifiers

DOI: 10.1134/s1995080220090036

Citations and references

Cited by 8 12 references

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