Bulletin KRASEC. Phys. & Math. Sci. 2016. V. 12. no. 1. pp. 21-26. ISSN 2313-0156
DOI: 10.18454/2313-0156-2016-12-1-21-26
MSC 35M10
PROBLEM WITH A SHIFT FOR A MIXED-TYPE EQUATION OF THE SECOND KIND IN AN UNBOUNDED DOMAIN
R. T. Zunnunov¹, A. A. Ergashev²
¹Institute of Earthquake Engineering, Academy of Sciences of Uzbekistan, 100125, Uzbekistan, Tashkent, Akademgorodok, Durmonyuli str., 31
²Kokand State Pedagogical Institute. Muqimiy, 113000, Uzbekistan, Kokand, st. Amir Temur, 37
E-mail: zunnunov@mail.ru
The paper investigates a non-local problem in the mixed area the elliptical part of which is a vertical half-strip. The non-local conditions in this problem connect pointwise the values of a fractional derivative of an unknown function at the points of a boundary characteristic.
Key words: problem with a shift, mixed-type equation of the second kind, uniqueness and existence of a solution, singular integral equation, unbounded domain.
References
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For citation: Zunnunov R. T., Ergashev A. A. Problem with a shift for a mixed type equation of the second kind in an unbounded domain. Bulletin KRASEC. Physical and Mathematical Sciences 2016, vol. 12, no 1, 21-26. DOI: 10.18454/2313-0156-2016-12-1-21-26
Original article submitted: 01.03.2016
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Zunnunov Rahimzhon Temirbekovich – Ph.D. (Phys. & Math.), Researcher, Institute of Earthquake Engineering, Academy of Sciences of Uzbekistan, Uzbekistan.
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Ergashev Akrakhmkhon Akhmadkhozhaevich – Senior Lecturer, Department of Mathematics of the Kokand Pedagogical Institute, Mukinje, Uzbekistan.
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