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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

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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.

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