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pro vyhledávání: '"Peano existence theorem"'
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In this article, we extend the foundations of the theory of differential inclusions in the space of probability measures with compact support, laid down recently in one of our previous work, to the setting of general Wasserstein spaces. Anchoring our
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4fd51e81d6eb8382dbeaf7041fb8fdeb
http://arxiv.org/abs/2302.00963
http://arxiv.org/abs/2302.00963
Autor:
Yu. A. Iljin, V. V. Basov
Publikováno v:
Vestnik St. Petersburg University, Mathematics. 53:180-190
The initial-value problem (the Cauchy problem) for an ordinary differential equation of the first order is considered. It is assumed that the right-hand side of the equation is a continuous function defined on a set consisting of a connected open set
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8f21333cb2c97033fb1911081178addd
https://doi.org/10.1134/s1063454120020053
https://doi.org/10.1134/s1063454120020053
Autor:
Yurii A. Iljin, Vladimir V. Basov
Publikováno v:
Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy. 65:636-648
In this paper we investigate the existence of solution of the initial-value problem with an initial point located at the boundary of the domain of definition for the first-order differential equation. This initial-value problem differs from the one a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::498704f8d76e8cdd42679f17022508a6
https://doi.org/10.21638/spbu01.2020.406
https://doi.org/10.21638/spbu01.2020.406
Autor:
Benjamin L. Jeffers, Jeffrey W. Lyons
In this paper, we discuss differentiation of solutions to the boundary value problem $y^{(n)} = f(x, y, y^{'}, y^{''}, \ldots, y^{(n-1)}), \; a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f8edeb84ea1d8fb85d2dc2274a99071b
Autor:
Pour-El, Marian Boykan
Publikováno v:
Transactions of the American Mathematical Society, 1974 Nov 01. 199, 1-28.
Externí odkaz:
https://www.jstor.org/stable/1996870
Autor:
Andrey Pilipenko, Ilya Pavlyukevich
Publikováno v:
Electron. Commun. Probab.
We revisit the zero-noise Peano selection problem for Lévy-driven stochastic differential equation considered in [Pilipenko and Proske, Statist. Probab. Lett., 132:62–73, 2018] and show that the selection phenomenon pertains in the multiplicative
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d803ceac7fef64225b9fa0a83a9c69e8
https://doi.org/10.1214/20-ecp365
https://doi.org/10.1214/20-ecp365
Autor:
Senjo Shimizu, Hideo Kozono
Publikováno v:
Journal of Mathematical Analysis and Applications. 458:1693-1708
We show existence theorem of global mild solutions with small initial data and external forces in Lorentz spaces with scaling invariant norms. If the initial data have more regularity in another scaling invariant class, then our mild solution is actu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0a1602ef4495b27a61aea1ef62a2ba68
https://doi.org/10.1016/j.jmaa.2017.10.048
https://doi.org/10.1016/j.jmaa.2017.10.048
Autor:
Tariel Kiguradze, I. T. Kiguradze
Publikováno v:
Differential Equations. 53:996-1004
We study the existence of solutions continuously depending on a parameter for higher-order nonlinear ordinary differential equations with linear boundary conditions. In particular, we prove a theorem of Fredholm type providing tests for the unique so
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a3520c8da5c57b1e0154012f953c9668
https://doi.org/10.1134/s0012266117080043
https://doi.org/10.1134/s0012266117080043
Publikováno v:
Advances in Difference Equations, Vol 2017, Iss 1, Pp 1-9 (2017)
In this paper, we prove the existence of solutions for a boundary value problem involving both left Riemann-Liouville and right Caputo-type fractional derivatives. For this, we convert the posed problem to a sum of two integral operators, then we app
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8560f6c5ddf9e418e694276edeb27246
http://link.springer.com/article/10.1186/s13662-017-1226-y
http://link.springer.com/article/10.1186/s13662-017-1226-y