Zobrazeno 1 - 10
of 13
pro vyhledávání: '"A. V. Frolenkov"'
Publikováno v:
Научно-практическая ревматология, Vol 43, Iss 3 (2005)
Externí odkaz:
https://doaj.org/article/f4b807762a60468fbbccea99d2fdee82
Autor:
V I Goryachev, A. V. Frolenkov
Publikováno v:
Научно-практическая ревматология, Vol 43, Iss 3 (2005)
Externí odkaz:
https://doaj.org/article/f07ce1620ec04a24a2cd8f6652bc1557
Autor:
Igor V. Frolenkov, E. N. Kriger
Publikováno v:
Journal of Mathematical Sciences. 254:743-760
In this paper, we examine the solvability of a new class of nonclassical direct problems for multidimensional loaded parabolic equations with Cauchy data. We obtain sufficient conditions for the solvability of the problem; the proof is based on the m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cf3f4ed7d4456b87d262f9d917398ddf
https://doi.org/10.1007/s10958-021-05337-y
https://doi.org/10.1007/s10958-021-05337-y
Autor:
M. A. Yarovaya, Igor V. Frolenkov
Publikováno v:
Journal of Mathematical Sciences. 254:761-775
In this paper, we consider a loaded parabolic equation of a special form in an unbounded domain with Cauchy data. The equation is one-dimensional and its right-hand side depends on the unknown function u(t, x) and traces of this function and its deri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::28c6c76caac5e3918b24fbc31c1104b1
https://doi.org/10.1007/s10958-021-05338-x
https://doi.org/10.1007/s10958-021-05338-x
Autor:
Ekaterina N. Kriger, Igor V. Frolenkov
Publikováno v:
Journal of Siberian Federal University. Mathematics & Physics. 9:180-191
In this paper we investigate an identification problem of a coefficient at the nonlinear lowest term in a 2D semilinear parabolic equation with overdetermination conditions given on a smooth curve. The unknown coefficient has the form of a product of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4b1def7dc17082102f803ccb8b79b3a2
https://doi.org/10.17516/1997-1397-2016-9-2-180-191
https://doi.org/10.17516/1997-1397-2016-9-2-180-191
Autor:
Ekaterina N. Kriger, Igor V. Frolenkov
Publikováno v:
Russian Mathematics. 59:17-31
In this paper we consider the problem of identification of coefficient at nonlinear lowest term for two-dimensional semilinear parabolic equation. The desired coefficient depends on all variables and has the form of the sum of two functions each of t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dbc296265eefb2a6fc5a3e059835298a
https://doi.org/10.3103/s1066369x15050035
https://doi.org/10.3103/s1066369x15050035
Autor:
Igor V. Frolenkov, Ekaterina N. Kriger
Publikováno v:
Journal of Mathematical Sciences. 203:464-477
We establish the existence of a solution of the problem of identification of the source function for the two-dimensional parabolic equation with the Cauchy data and two overdetermination conditions on two intersecting hyperplanes.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7da8049996b279c382199f9455a2e91d
https://doi.org/10.1007/s10958-014-2150-2
https://doi.org/10.1007/s10958-014-2150-2
Autor:
Igor V. Frolenkov, Galina V. Romanenko
Publikováno v:
Journal of Applied and Industrial Mathematics. 8:196-207
We study a one-dimensional system of two parabolic loaded equations of a special kind and a one-dimensional composite-type system of a special kind. Both systems are considered with Cauchy data. We obtain sufficient conditions for the existence of a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::332177bd6c0eca7888f75a5d4772ef67
https://doi.org/10.1134/s1990478914020069
https://doi.org/10.1134/s1990478914020069
Autor:
Igor V. Frolenkov, Galina V. Romanenko
We study a multidimensional system of two loaded parabolic equations of a special kind with the Cauchy data. Sufficient conditions for the existence of a solution in the class of smooth bounded functions are obtained. The splitting method at differen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7d0da21907b1434352c7491f294c77cc
https://openrepository.ru/article?id=755631
https://openrepository.ru/article?id=755631
Autor:
Igor V. Frolenkov, Vera G. Kopylova
Publikováno v:
Journal of Siberian Federal University. Mathematics & Physics. 14:483-491
The paper considers the problem of identification for a source function in one of two equations of parabolic quasilinear system. The case of Cauchy data in an unbounded domain and the case of boundary conditions of the first kind in a rectangular dom
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ebe0099abf8d3d53a5d5b86324245c3f
https://doi.org/10.17516/1997-1397-2021-14-4-483-491
https://doi.org/10.17516/1997-1397-2021-14-4-483-491