Zobrazeno 1 - 10
of 118
pro vyhledávání: '"Valeri Obukhovskii"'
Publikováno v:
Fixed Point Theory and Applications, Vol 2017, Iss 1, Pp 1-20 (2017)
Abstract We apply the topological degree theory for condensing maps to study approximation of solutions to a fractional-order semilinear differential equation in a Banach space. We assume that the linear part of the equation is a closed unbounded gen
Externí odkaz:
https://doaj.org/article/147214588f7a4e868970b3e0e1da0565
Publikováno v:
Mathematics, Vol 9, Iss 2, p 136 (2021)
We obtained results on the existence and uniqueness of a mild solution for a fractional-order semi-linear differential inclusion in a Hilbert space whose right-hand side contains an unbounded linear monotone operator and a Carathéodory-type multival
Externí odkaz:
https://doaj.org/article/120b78a61b7241edb3c364dbd1a19dac
Publikováno v:
Journal of Function Spaces, Vol 2015 (2015)
We provide existence results for a fractional differential inclusion with nonlocal conditions and impulses in a reflexive Banach space. We apply a technique based on weak topology to avoid any kind of compactness assumption on the nonlinear term. As
Externí odkaz:
https://doaj.org/article/9fbe5feee85942de93e247de6149eddb
Autor:
Valeri Obukhovskii, Pietro Zecca
Publikováno v:
Abstract and Applied Analysis, Vol 2003, Iss 13, Pp 769-784 (2003)
We consider the applications of the theory of condensing set-valued maps, the theory of set-valued linear operators, and the topological degree theory of the existence of mild solutions for a class of degenerate differential inclusions in a reflexive
Externí odkaz:
https://doaj.org/article/0df4f0695e354f99ab1890972e246c72
Publikováno v:
Abstract and Applied Analysis, Vol 7, Iss 6, Pp 295-322 (2002)
Externí odkaz:
https://doaj.org/article/77328c3fc7394b498849661ca6f76f48
Publikováno v:
Abstract and Applied Analysis, Vol 2012 (2012)
We study the abstract Cauchy problem for a class of integrodifferential equations in a Banach space with nonlinear perturbations and nonlocal conditions. By using MNC estimates, the existence and continuous dependence results are proved. Under some a
Externí odkaz:
https://doaj.org/article/041f0aa7b7564748adba9758c46fb173
Publikováno v:
Abstract and Applied Analysis, Vol 2006 (2006)
We suggest the construction of an oriented coincidence index for nonlinear Fredholm operators of zero index and approximable multivalued maps of compact and condensing type. We describe the main properties of this characteristic, including applicatio
Externí odkaz:
https://doaj.org/article/69b3a9a7b645442c87398e2cb9690281
Publikováno v:
Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki. 31:167-185
We consider a non-local boundary value problem for a feedback control system described by a semilinear functional-differential inclusion of fractional order with infinite delay in a separable Banach space. The general principle of existence of soluti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::23e10d918e946090e37bd2938539cb67
https://doi.org/10.35634/vm210201
https://doi.org/10.35634/vm210201
Publikováno v:
Fixed Point Theory. 22:279-298
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2910ee8082f74fc6ad94759cc4866b2b
https://doi.org/10.24193/fpt-ro.2021.1.20
https://doi.org/10.24193/fpt-ro.2021.1.20
Publikováno v:
Russian Universities Reports. Mathematics. :250-270
In this paper, we study a periodic boundary value problem for a class of semilinear differential inclusions of fractional order in a Banach space for which the multivalued nonlinearity satisfies the regularity condition expressed in terms of measures
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::24b3da0eedf7b0a6d587f25417b0a6d5
https://doi.org/10.20310/2686-9667-2021-26-135-250-270
https://doi.org/10.20310/2686-9667-2021-26-135-250-270