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A mixed problem with Tricomi and Frankl conditions for the gellerstedt equation with a singular coefficient

Гулбахор М. МирсабуроваTermez State University, ul. F. Khodzhaeva 43, Termez, 190111, Republic of Uzbekistan
Russian Mathematicsjournal2013en
ABI

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We consider a generalized Tricomi equation with a singular coefficient. For this equation in a mixed domain we study the corresponding problem in the case, when a part of the boundary characteristic is free of boundary conditions; the deficient Tricomi condition is equivalently substituted by a nonlocal Frankl condition on a segment of the degeneration line. We prove that the stated problem is well-posed.

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