Izv. Vyssh. Uchebn. Zaved. Mat., 2013, Number 7, Pages 16–30
This article is cited in 2 scientific papers (total in 2 papers)
A mixed problem with Tricomi and Frankl conditions for the Gellerstedt equation with a singular coefficient
Gulbakhor M. Mirsaburova
Chair of Differential Equations and Geometry, Termez State University, 43 F. Khodzhaev str., Termez, 190111 Republic of Uzbekistan
We consider a generalized Tricomi equation with a singular coefficient. For this equation in a mixed domain we study the corresponding problem, where 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.
gluing condition, uniqueness of solution, Tricomi singular integral equation, isolated singularity of the first order, Wiener–Hopf equation, index, residue.
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Russian Mathematics (Izvestiya VUZ. Matematika), 2013, 57:7, 13–26
Gulbakhor M. Mirsaburova, “A mixed problem with Tricomi and Frankl conditions for the Gellerstedt equation with a singular coefficient”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 7, 16–30; Russian Math. (Iz. VUZ), 57:7 (2013), 13–26
Citation in format AMSBIB
\paper A mixed problem with Tricomi and Frankl conditions for the Gellerstedt equation with a~singular coefficient
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\jour Russian Math. (Iz. VUZ)
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This publication is cited in the following articles:
M. Mirsaburov, S. T. Chorieva, “On a problem with shift for degenerate equation of mixed type”, Russian Math. (Iz. VUZ), 59:4 (2015), 38–45
Mirsaburova G.M., “Problem With An Analog of the Frankl Condition on the Boundary Characteristic and General Transmission Conditions on the Degeneration Segment For a Class of Mixed Type Equations”, Differ. Equ., 55:12 (2019), 1598–1610
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