Дженалиев М.Т.   Ramazanov M.I.   Amangaliyeva M.M.   Kosmakova M.T.  

Uniqueness and nonuniqueness of the solutions of the boundary value problems of the heat

Reporter: Дженалиев М.Т.

UNIQUENESS AND NON UNIQUENESS OF THE SOLUTIONS
OF THE BOUNDARY VALUE PROBLEMS OF THE HEAT

M.M. Amangaliyeva 1, M.T. Jenaliyev 1, M.T. Kosmakova 1, M.I. Ramazanov 2
1IMMM CS MES, Almaty
2 IAM CS MES, Karaganda
muvasharkhan@gmail.com, ramamur@mail.ru

In applications it is often necessary for solving boundary value problems of heat conduction in the degenerated areas. This leads to the study of special Volterra integral equations of the second kind, when the norm of the integral operator is equal to one.
The work was supported by the Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan (project 0823 / GF4).

REFERENCES
1. Akhmanova D.M., Dzhenaliev MT, Ramazanov M.I. On special Volterra integral equations of the second kind with a spectral // Sib.math.journal. T.52. 2011. №1. P.3-14.
2. Amangaliyeva MM, Jenaliyev MT, Kosmakova MT, Ramazanov MI About Dirichlet boundary value problem for the heat equation in the infinite angular domain // Boundary Value Problems. 2014: 213, 21p. (2014).


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