Zobrazeno 1 - 10
of 234
pro vyhledávání: '"Aram V. Arutyunov"'
Publikováno v:
Axioms, Vol 11, Iss 2, p 40 (2022)
This article concerns the optimality conditions for a smooth optimal control problem with an endpoint and mixed constraints. Under the normality assumption, which corresponds to the full-rank condition of the associated controllability matrix, a simp
Externí odkaz:
https://doaj.org/article/e5b8c8dc9caa44109b3a6132af96f377
Publikováno v:
IFAC-PapersOnLine. 55:231-235
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::22f82605a1c25f16cb1aa8c5180a6a84
https://doi.org/10.1016/j.ifacol.2022.09.029
https://doi.org/10.1016/j.ifacol.2022.09.029
Autor:
S. E. Zhukovskiy, Aram V. Arutyunov
Publikováno v:
Sbornik: Mathematics. 213:1-41
We consider continuous mappings between two Banach spaces that depend on a parameter with values in a topological space. These mappings are assumed to be continuously differentiable for each value of the parameter. Under normality (regularity) assump
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::176a986048ca909a640fedae541affe3
https://doi.org/10.1070/sm9483
https://doi.org/10.1070/sm9483
Publikováno v:
Russian Universities Reports. Mathematics. :205-213
The paper is devoted to the investigation of the antiperiodic boundary value problem for an implicit nonlinear ordinary differential equation $$f(t,x,\dot x)=0, \quad x(0)+x(\tau)=0.$$ We assume that the mapping $f:\mathbb{R}\times \mathbb{R}^n \time
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::af6b38e582315b1abdf97ad524d3c881
https://doi.org/10.20310/2686-9667-2022-27-139-205-213
https://doi.org/10.20310/2686-9667-2022-27-139-205-213
Autor:
S. E. Zhukovskiy, Aram V. Arutyunov
Publikováno v:
Trudy Matematicheskogo Instituta imeni V.A. Steklova. 315:19-25
Исследуется вопрос о разрешимости уравнения, порожденного отображением, действующим из метрического пространства в нормированное про
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::86d077129a1c8009c070530d0e6619ec
https://doi.org/10.4213/tm4233
https://doi.org/10.4213/tm4233
Publikováno v:
Trudy Matematicheskogo Instituta imeni V.A. Steklova. 315:26-33
Исследуется существование неявной функции, заданной уравнением $G(x,\sigma )=0$, в окрестности анормальной точки $(x_0,\sigma _0)$. Доказано, что если
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::db51dc36bd0b7a359ff024b7ee710e9c
https://doi.org/10.4213/tm4228
https://doi.org/10.4213/tm4228
Publikováno v:
Set-Valued and Variational Analysis. 30:397-423
The fixed points and coincidence points of mappings of v-metric spaces, i.e., sets on which a vector metric is defined, are investigated. The values of such a metric are elements of a cone of a Banach space rather than real nonnegative numbers. Analo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8f98b0801d4c3d999d63571d6899cff9
https://doi.org/10.1007/s11228-021-00588-y
https://doi.org/10.1007/s11228-021-00588-y
Publikováno v:
2022 16th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference).
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8d45a4b4d16331b24fdd6d295dc02fc6
https://doi.org/10.1109/stab54858.2022.9807599
https://doi.org/10.1109/stab54858.2022.9807599
Autor:
S. E. Zhukovskiy, Aram V. Arutyunov
Publikováno v:
Trudy Matematicheskogo Instituta imeni V.A. Steklova. 312:7-21
Для нелинейных отображений, действующих в банаховых пространствах, при различных предположениях гладкости рассмотрены теоремы об обра
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9579862133e7c9569c0734068470d620
https://doi.org/10.4213/tm4149
https://doi.org/10.4213/tm4149
Autor:
Aram V. Arutyunov, S. E. Zhukovskiy
Publikováno v:
Proceedings of the Steklov Institute of Mathematics. 312:1-15
For nonlinear mappings acting in Banach spaces, we examine inverse and implicit function theorems under various smoothness assumptions. For various regularity (normality) conditions imposed on such mappings, we prove that the corresponding equations
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b4e2b43b437ec0a249741215962b60dd
https://doi.org/10.1134/s0081543821010016
https://doi.org/10.1134/s0081543821010016