Article

A combination of the Tricomi problem and a boundary-value problem with a shift for the Gellerstedt equation

Гулбахор М. МирсабуроваTermez State University, ul. F. Khodzhaeva 43, Termez, 190011, Republic of Uzbekistan

Russian Mathematicsjournal2012en

ABI

Abstract

We study a problem whose statement combines the Tricomi problem and the problem with a shift considered by V. I. Zhegalov and A. M. Nakhushev for the Gellerstedt equation with a singular coefficient. We prove its solvability by the method of integral equations, and we do the uniqueness of the solution with the help of the extremum principle.

Topics

Differential Equations and Boundary Problems Differential Equations and Numerical Methods Geotechnical and Geomechanical Engineering

Identifiers

DOI: 10.3103/s1066369x12090046

Citations and references

Cited by 2 5 references

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