Article

Problem with displacement conditions on internal characteristics and the Frankl condition on a segment of the degeneration line for the Gellerstedt equation with a singular coefficient

М. МирсабуровTermez State University, Termez, UzbekistanZh. T. KhudzhaevTermez State University, Termez, Uzbekistan

Differential Equationsjournal2013en

ABI

Abstract

We study the well-posedness of a problem with displacement conditions on internal characteristics and an analog of the Frankl condition on a segment of the degeneration line for the Gellerstedt equation with a singular coefficient. The uniqueness of a solution is proved with the use of an extremum principle. The proof of the existence uses the method of integral equations.

Topics

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

Identifiers

DOI: 10.1134/s0012266113120082

Citations and references

Cited by 05 references

Metrics — AkademScholar · Coming soon