Zobrazeno 1 - 10
of 31
pro vyhledávání: '"A. I. Prilepko"'
Autor:
A. I. Prilepko
Publikováno v:
Differential Equations. 55:1630-1640
In a Banach space, we study an equation of the first kind as an observation problem, with the adjoint equation considered as a control problem. The Banach uniqueness and existence method and the monotone mapping method are applied to the study of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d37b55cdcacb9e16f43c34de9cede424
https://doi.org/10.1134/s0012266119120097
https://doi.org/10.1134/s0012266119120097
Autor:
A. I. Prilepko
Publikováno v:
Доклады Академии наук. 489:11-16
Observation and control problems in Banach (B)-spaces are investigated. On the basis of the BUME method and the monotone mapping method, a criterion of controllability and optimal controllability is formulated. The inverse controllability problem is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::35ca933633c881fbbf269ffc7bc0ec13
https://doi.org/10.31857/s0869-5652489111-16
https://doi.org/10.31857/s0869-5652489111-16
Autor:
A. I. Prilepko
Publikováno v:
Doklady Mathematics. 100:508-513
Observation and control problems in Banach (B)-spaces are investigated. A criterion for controllability and optimal controllability is formulated on the basis of the BUME method and the monotone mapping method. An inverse controllability problem is i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::091da71060b860c7e879d60ac703493f
https://doi.org/10.1134/s1064562419060048
https://doi.org/10.1134/s1064562419060048
Autor:
A. I. Prilepko
Publikováno v:
Доклады Академии наук. 485:153-157
For control and observation problems considered for operator equations of the first kind in Banach spaces, an controllability criterion is stated. In the case of reflexive strictly convex (B)-spaces, the BUME method and the method of monotone mapping
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9a48bb5a5a80bfd34c6de1f35d459579
https://doi.org/10.31857/s0869-56524852153-157
https://doi.org/10.31857/s0869-56524852153-157
Autor:
A. I. Prilepko
Publikováno v:
Doklady Mathematics. 99:152-155
For control and observation problems considered for operator equations of the first kind in Banach spaces, an controllability criterion is stated. In the case of reflexive strictly convex (B)-spaces, the BUME method and the method of monotone mapping
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6cbd22b6a418204d4c48f56c889e98f9
https://doi.org/10.1134/s1064562419020091
https://doi.org/10.1134/s1064562419020091
Publikováno v:
Journal of Mathematical Sciences. 237:576-594
We review some results obtained by the authors during the last 15 years. In particular, we present the existence and uniqueness theorems for linear and nonlinear inverse problems of reconstructing unknown coefficients in elliptic and parabolic equati
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5dc1694466019bc8c081a9db25ab7bfd
https://doi.org/10.1007/s10958-019-04184-2
https://doi.org/10.1007/s10958-019-04184-2
Publikováno v:
Journal of Inverse and Ill-posed Problems. 26:523-539
We consider the inverse problem of source determination in nonuniformly parabolic equation under the additional condition of integral observation. We investigate the questions of existence and uniqueness of solution. Two types of sufficient condition
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ebcdc97403aa1e3ead5442b6e09fdd80
https://doi.org/10.1515/jiip-2017-0049
https://doi.org/10.1515/jiip-2017-0049
Autor:
A. I. Prilepko
Publikováno v:
Doklady Mathematics. 96:477-479
Control and observation problems for operator equations of the first kind in reflexive strictly convex Banach spaces are considered. A BUME (Banach uniqueness and existence) method and a method of monotone nonlinear mappings for finding optimal (i.e.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f209584b0613f493a58d40eab5008e73
https://doi.org/10.1134/s1064562417050210
https://doi.org/10.1134/s1064562417050210
Autor:
A. I. Prilepko
Publikováno v:
Differential Equations. 41:1635-1646
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fd11d11dec1926176013bf0222d7e9ba
https://doi.org/10.1007/s10625-005-0323-y
https://doi.org/10.1007/s10625-005-0323-y
Autor:
A. I. Prilepko, D. S. Tkachenko
Publikováno v:
Differential Equations. 40:1619-1626
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::45d60ca06a5498c87fc3723c959cec67
https://doi.org/10.1007/pl00021830
https://doi.org/10.1007/pl00021830