Bulletin KRASEC. Phys. & Math. Sci. 2016. V. 12. no. 1. pp. 27-34. ISSN 2313-0156
DOI: 10.18454/2313-0156-2016-12-1-27-34
MSC 35M13
STATEMENT AND STUDY OF SOME BOUNDARY VALUE PROBLEMS FOR THIRD ORDER PARABOLIC-HYPERBOLIC EQUATION OF TYPE ∂(Lu)/∂x = 0 IN A PENTAGONAL DOMAIN
M. Mamazhonov, Kh. B. Mamadalieva
Kokand State Pedagogical Institute. Muqimiy, 113000, Uzbekistan, Kokand, st. Amir Temur, 37
E-mail: bek84-08@mail.ru
The paper paper considers two boundary value problems, and examines one of these problems for a third order parabolic-hyperbolic equation of type ∂(Lu)/∂x=0 in a pentagonal domain. The unique solvability of the problem is proved.
Key words: differential and integral equations, boundary value problems, parabolichyperbolic type
References
- Dzhuraev T. D., Mamazhonov M. O korrektnoy postanovke kraevykh zadach dlya odnogo klassa uravneniy tret’ego poryadka parabolo-giperbolicheskogo tipa [On correct statement of boundary value problems for one class of third order parabolic-hyperbolic equations]. Differentsial’nye uravneniya – Differential Equations. 1983. vol. 19. no 1. pp. 37–50
2. Mamazhonov M., Shermatova Kh. M., Mukadasov Kh. Postanovka i metod resheniya nekotorykh kraevykh zadach dlya odnogo klassa uravneniy tret’ego poryadka parabolo-giperbolicheskogo tipa [Statement and methods of solution of some boundary value problems of one class of third order parabolic-hyperbolic equations]. Vestnik KRAUNTs. Fiz.-mat. nauki – Bulletin KRASEC. Phys. & Math. Sci. 2014. no 1(8). pp. 7–13
For citation: Mamazhonov M., Mamadalieva Kh. B. Statement and study of some boundary value problems for third order parabolic-hyperbolic equation of type ∂(Lu)/∂x = 0 in a pentagonal domain. Bulletin KRASEC. Physical and Mathematical Sciences 2016, vol. 12, no 1, 27-34. DOI: 10.18454/2313-0156-2016-12-1-27-34
Original article submitted: 10.03.2016
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Mamajonov Mirza – Ph.D. (Phys. & Math.), Associate Professor of the Kokand Pedagogical Institute by Mukini, Uzbekistan.
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Mamadalieva Khosiyatkhon Botirovna – Master of first-year physics and mathematics department of the Kokand Pedagogical Institute. Mukinje, Uzbekistan.
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