Zobrazeno 1 - 10
of 19
pro vyhledávání: '"A. S. Kalitvin"'
Publikováno v:
Journal of Mathematical Sciences. 249:954-966
We obtain Fredholm criteria for linear equations with multidimensional partial integrals in the space of continuous functions of three variables provided that the kernels are continuous vector-valued functions on a rectangle with the values in spaces
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5cff0c19d99b2d2cf26a5347021da94f
https://doi.org/10.1007/s10958-020-04987-8
https://doi.org/10.1007/s10958-020-04987-8
Autor:
V A Kalitvin, A. S. Kalitvin
Publikováno v:
Contemporary Mathematics. Fundamental Directions. 65:390-433
We consider linear operators and equations with partial integrals in Banach ideal spaces, spaces of vector functions, and spaces of continuous functions. We study the action, regularity, duality, algebras, Fredholm properties, invertibility, and spec
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::48780b6ebc717b153f81af500dff8ead
https://doi.org/10.22363/2413-3639-2019-65-3-390-433
https://doi.org/10.22363/2413-3639-2019-65-3-390-433
Autor:
A. S. Kalitvin, V.A. Kalitvin
Publikováno v:
Scientific and Technical Volga region Bulletin. 8:25-28
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::255215c5f239ec89fa92426f76df7a38
https://doi.org/10.24153/2079-5920-2018-8-5-25-28
https://doi.org/10.24153/2079-5920-2018-8-5-25-28
Autor:
V. A. Kalitvin, A. S. Kalitvin
Publikováno v:
Far East Journal of Mathematical Sciences (FJMS). 102:2587-2598
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::964e268edd4e57955e596903722712ca
https://doi.org/10.17654/ms102112587
https://doi.org/10.17654/ms102112587
Publikováno v:
Journal of Mathematical Sciences. 219:133-142
We establish the existence and uniqueness of continuous solutions to systems of linear and nonlinear integral equations with partial integrals, with partial integrals and potential type kernels, and fractional partial integrals. We obtain conditions
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f7a6a6bbeda2420d59de8efaee21eb98
https://doi.org/10.1007/s10958-016-3089-2
https://doi.org/10.1007/s10958-016-3089-2
Autor:
V. A. Kalitvin, A. S. Kalitvin
Publikováno v:
Journal of Mathematical Sciences. 219:125-132
We establish the existence and uniqueness conditions for the weighted Cauchy type problem and the Cauchy problem for the linear Barbashin integro-differential equation with fractional partial derivative of order 0 < α ≤ 1 in the sense of Riemann
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2fc2d49930d7a9ee8033e1119e5b774a
https://doi.org/10.1007/s10958-016-3088-3
https://doi.org/10.1007/s10958-016-3088-3
Autor:
V.A. Kalitvin, A. S. Kalitvin
Publikováno v:
Scientific and Technical Volga region Bulletin. 7:28-30
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7a4d357a07317eacbed3d2c725e94a23
https://doi.org/10.24153/2079-5920-2017-7-6-28-30
https://doi.org/10.24153/2079-5920-2017-7-6-28-30
Autor:
A. S. Kalitvin
Publikováno v:
Journal of Mathematical Sciences. 208:160-167
We establish the existence and uniqueness of a generalized solution to the Cauchy problem for the Barbashin integro-differential equation and a system of such equations. The results are illustrated by examples. Bibliography: 6 titles.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e87e2ff6a41fdad6ffa3c50baa6b8b18
https://doi.org/10.1007/s10958-015-2433-2
https://doi.org/10.1007/s10958-015-2433-2
Autor:
A. S. Kalitvin
Publikováno v:
Journal of Mathematical Sciences. 188:241-249
We study the solvability conditions for the Cauchy problem for the Barbashin integro-differential equation in the space of bounded continuous functions and in the space of continuous vector-valued functions with the values in an ideal Banach space. W
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::eac9e870c1002f9592c1c272266e1815
https://doi.org/10.1007/s10958-012-1122-7
https://doi.org/10.1007/s10958-012-1122-7
Autor:
A. S. Kalitvin
Publikováno v:
Journal of Mathematical Sciences. 157:496-503
The unique solvability of systems of linear and nonlinear Volterra integral equations with partial integrals is studied in this paper.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::54bdaec8c98171c33cd7b336cd055715
https://doi.org/10.1007/s10958-009-9330-5
https://doi.org/10.1007/s10958-009-9330-5