On a boundary value problem for the heat equation and a singular integral equation associated with it
| dc.contributor.author | Amangaliyeva, M. | |
| dc.contributor.author | Jenaliyev, M. | |
| dc.contributor.author | Iskakov, S. | |
| dc.contributor.author | Ramazanov, M. | |
| dc.date.accessioned | 2022-03-10T11:26:42Z | |
| dc.date.available | 2022-03-10T11:26:42Z | |
| dc.date.issued | 2021-06 | |
| dc.description.abstract | In this paper we study the solvability of a singular integral equation arising in the theory of boundary value problems for the heat equation in an infinite angular domain. The par- ticular case of the corresponding homogeneous integral equation was investigated earlier in [1, 2] and it was shown that in a weight class of essentially bounded functions it has, along with a trivial solution, a family of non-trivial solutions up to a constant factor. In this paper we study the more general case of a nonhomogeneous integral equation for which a representation of the general solution is found with using the resolvent constructed by us. Estimates of the resolvent and of the solution of the boundary value problem are es- tablished. | ru_RU |
| dc.identifier.citation | On a boundary value problem for the heat equation and a singular integral equation associated with it/ Amangaliyeva M. [et al.] // Applied Mathematics and Computation. - 2021. - Vol.399. | ru_RU |
| dc.identifier.issn | 0096-3003 | |
| dc.identifier.uri | https://rep.buketov.edu.kz//handle/data/11983 | |
| dc.language.iso | en | ru_RU |
| dc.publisher | Applied Mathematics and Computation | ru_RU |
| dc.relation.ispartofseries | Applied Mathematics and Computation;№399 | |
| dc.subject | Heat equation | ru_RU |
| dc.subject | Degenerate domain | ru_RU |
| dc.subject | Volterra integral equation | ru_RU |
| dc.subject | Singular integral equation | ru_RU |
| dc.subject | Integral operator | ru_RU |
| dc.subject | Resolvent | ru_RU |
| dc.title | On a boundary value problem for the heat equation and a singular integral equation associated with it | ru_RU |
| dc.type | Article | ru_RU |