This article is cited in 5 papers

The problem with missing condition of shift for singular coefficiensy Gellerstedt equation

M. Mirsaburov

Termez State University, 43 F. Khodzhaev str., Termez, 190111 Republic of Uzbekistan

Abstract: For Gellerstedt equation with singular coefficient we prove theorems of uniqueness and existence of solution to the problem with the missing condition of shift on the boundary characteristics and Frankl type condition on degeneration segment of the equation.

Keywords: missing condition of shift, Frankl type condition, Tricomi non-standard singular integral equation, Wiener–Hopf equation, index.

UDC: 517.956

Received: 07.03.2017

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2018, 62:5, 44–54

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