Zobrazeno 1 - 10
of 69
pro vyhledávání: '"S. K. Kumykova"'
Autor:
O. A. Repin, S. K. Kumykova
Publikováno v:
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, Vol 4(29), Pp 17-25 (2012)
The unique solvability of boundary value problem with Saigo operators for the third-order equation with multiple characteristics was investigated. The uniqueness theorem with constraints of inequality type on the known functions and different orders
Externí odkaz:
https://doaj.org/article/1c64e83bcb1443d4ba7b4982241b35c8
Autor:
O. A. Repin, S. K. Kumykova
Publikováno v:
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, Vol 4(25), Pp 25-36 (2011)
The unique solvability of internally boundary value problem for equation of mixed type of third order with multiple characteristics is investigated. The uniqueness theorem is proved with the restrictions on certain features and different orders of fr
Externí odkaz:
https://doaj.org/article/4f7baf9dd6a44710ba38738024596570
Autor:
S. K. Kumykova
Publikováno v:
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, Vol 1(22), Pp 140-150 (2011)
In this paper we prove the unique solution of the problem with a shift to a Lykov's type system of differential equations of first order. The proof is given for different values of the generalized operators of fractional integro-differentiation inclu
Externí odkaz:
https://doaj.org/article/0718c1dc26a747288ea043f7994e25e9
Autor:
S. K. Kumykova, O. A. Repin
Publikováno v:
Differential Equations. 53:1045-1053
We study the unique solvability of a nonlocal problem with generalized fractional differentiation operators in the boundary condition for a hyperbolic equation degenerating in the interior of the domain.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6f47762395355a9dada091a746bdd85b
https://doi.org/10.1134/s0012266117080092
https://doi.org/10.1134/s0012266117080092
Autor:
O. A. Repin, S. K. Kumykova
Publikováno v:
Russian Mathematics. 61:43-48
We consider a nonlocal problem for a degenerate equation in a domain bounded by characteristics of this equation. The boundary-value conditions of the problem include linear combination of operators of fractional integro-differentiation in the Rieman
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c58700a4a289af69a343b6a2d8a07f9f
https://doi.org/10.3103/s1066369x17070064
https://doi.org/10.3103/s1066369x17070064
A problem with operators of fractional differentiation in boundary condition for mixed-type equation
Autor:
O. A. Repin, S. K. Kumykova
Publikováno v:
Russian Mathematics. 61:35-40
We consider a question on unique solvability of a boundary-value problem with fractional derivatives for a mixed-type equation of second order. We prove first a uniqueness theorem. The existence theorem is proved by means of reduction to Fredholm equ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4db506e7a3d08b77ca833fb6f356b214
https://doi.org/10.3103/s1066369x17040065
https://doi.org/10.3103/s1066369x17040065
Autor:
O. A. Repin, S. K. Kumykova
Publikováno v:
Russian Mathematics. 60:46-52
In the characteristic triangle for a hyperbolic equation of the second kind we study a nonlocal problem, where the boundary value condition contains a linear combination of Riemann–Liouville fractional integro-differentiation operators. We establis
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cdacaf68b9d6b84ab38cd0b26704c463
https://doi.org/10.3103/s1066369x1609005x
https://doi.org/10.3103/s1066369x1609005x
Autor:
S. K. Kumykova, O. A. Repin
Publikováno v:
Journal of Applied Analysis. 22:27-36
The paper is devoted to the study of a boundary-value problem for an equation of mixed type with generalized operators of fractional differentiation in boundary conditions. We prove uniqueness of solutions under some restrictions on the known functio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6c05fc567226af4ca78d8d4f51b2dd33
https://doi.org/10.1515/jaa-2016-0003
https://doi.org/10.1515/jaa-2016-0003
Autor:
O. A. Repin, S. K. Kumykova
Publikováno v:
Russian Mathematics. 59:44-51
We study a boundary-value problem with shift formixed-type equation of the third order. In the hyperbolic field boundary condition contains a linear combination of generalized operators of fractional integro-differentiation. We prove a unique solvabi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bac41341819390344e2ee391fd1d1c34
https://doi.org/10.3103/s1066369x15070051
https://doi.org/10.3103/s1066369x15070051
Autor:
O. A. Repin, S. K. Kumykova
Publikováno v:
Differential Equations. 51:767-775
We study an interior-boundary value problem for a third-order equation for the case in which, in the hyperbolic part of the domain boundary, the values of generalized fractional derivatives of the solution on the characteristics are related point by
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4111d3bb90122bad352b547f33d78044
https://doi.org/10.1134/s0012266115060075
https://doi.org/10.1134/s0012266115060075