Bulletin KRASEC. Phys. & Math. Sci. 2017. vol. 16, issue. 1. pp. 11-16. ISSN 2313-0156

DOI: 10.18454/2313-0156-2017-16-1-11-16

MSC 35R06

ON A BOUNDARY-VALUE PROBLEM FOR A THIRD-ORDER PARABOLIC-HYPERBOLIC EQUATION IN A CONCAVE HEXAGONAL DOMAIN

M. Mamazhonov¹, Kh. M. Shermatova²

¹Kokand Pedagogical Institute named after Mukimiy. 113000„ Kokand, Republic of Uzbekistan, Amir Temur str., 37.
²Fergana State University. 150100, Fergana, Republic of Uzbekistan, Murabhillar str., 19.
E-mail: hilola-1978@mail.ru

In the study of mathematical physics problems, methods of differential and integral equations are used. This paper is an example of application of these methods to the solution of one boundary-value problem for a third-order parabolic-hyperbolic equation in a concave hexagonal domain.

Keywords: parabolic-hyperbolic equations, concave hexagonal domain, rectangle, triangle, integral and differential equations.

References

  1. Dzhuraev T. D., Sopuev A., Mamazhanov M. Kraevye zadachi dlya uravneniy parabolo-giperbolicheskogo tipa [Boundary-value problems for parabolic-hyperbolic equations]. Tashkent. Fan. 1986. 220 p.
    2. Dzhuraev T. D., Mamazhanov M. Differents. uravneniya [Differential equations]. 1986. vol 22. no. 1. pp. 25-31.
    3. 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 method of solution of a boundary-value problem for one-class third-order parabolichyperbolic equation]. Vestnik KRAUNTs. Fiziko-matematicheskie nauki – Bulletin KRASEC. Physical and Mathematical Sciences. 2014. no. 1(8). pp. 7-13.
    4. 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. pp. 27-34.
    5. Mamazhonov M., Mamazhonov S. M., Mamadalieva Kh. B. On some boundary-value problems for a third-order parabolic-hyperbolic equation in a pentagonal domain. Bulletin KRASEC. Physical and Mathematical Sciences. 2016. vol. 13. no. 2. pp. 31-38.

For citation: Mamazhonov M., Shermatova Kh. M. On a boundary-value problem for a third-order parabolic-hyperbolic equation in a concave hexagonal domain. Bulletin KRASEC. Physical and Mathematical Sciences 2017, vol. 16, issue 1, 11-16. DOI: 10.18454/2313-0156-2017-16-1-11-16.

Original article submitted: 20.03.2016.

   Momag

Mamajonov Mirza – Ph.D. (Phys. & Math.) Associate Professorof the Kokand Pedagogical Institute by Mukini, Kokand, Respublic of Uzbekistan.

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Shermatova

   

   Shermatova Hilolahon Mirzaevna — Senior Lecturer Fergana State University, Fergana, Republic Uzbeksitan.

 

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