Zobrazeno 1 - 10
of 22
pro vyhledávání: '"Nicolae Lupa"'
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2020, Iss 58, Pp 1-19 (2020)
For an arbitrary noninvertible evolution family on the half-line and for $\rho \colon [0, \infty)\to [0, \infty)$ in a large class of rate functions, we consider the notion of a $\rho$-dichotomy with respect to a family of norms and characterize it i
Externí odkaz:
https://doaj.org/article/6ec59144e5bc4c79a0398510079211d4
Autor:
Nicolae Lupa
Publikováno v:
Mathematics, Vol 8, Iss 7, p 1095 (2020)
We provide a sequence of projections on the linear space of all sequences and connect the existence of nonuniform exponential stability to the restrictions of these projections on a class of Banach sequence spaces defined by a discrete dynamics. As a
Externí odkaz:
https://doaj.org/article/b697b201e9c64c0492aea77a25fe4e06
Autor:
Nicolae Lupa
Publikováno v:
The Scientific World Journal, Vol 2014 (2014)
In this paper we study the roughness of (ℤ+,ℤ-)-nonuniform exponential dichotomy for nonautonomous difference equations in the general context of infinite-dimensional spaces. An explicit form is given for each of the dichotomy constants of the pe
Externí odkaz:
https://doaj.org/article/5e9bbf2416494d10a40cbd2f47af1ed8
Autor:
Nicolae Lupa, Mihail Megan
Publikováno v:
Journal of Function Spaces and Applications, Vol 2013 (2013)
This paper considers two trichotomy concepts in the context of abstract evolution operators. The first one extends the notion of exponential trichotomy in the sense of Elaydi-Hajek for differential equations to abstract evolution operators, and it is
Externí odkaz:
https://doaj.org/article/0040fabafeea4f4e914dd44a371393a5
Autor:
Nicolae Lupa, Liviu Horia Popescu
We introduce a special class of real semiflows, which is used to define a general type of evolution semigroups, associated to not necessarily exponentially bounded evolution families. Giving spectral characterizations of the corresponding generators,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::486fd7256183d452794d66b5d5e63629
http://arxiv.org/abs/2206.05996
http://arxiv.org/abs/2206.05996
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2020, Iss 58, Pp 1-19 (2020)
For an arbitrary noninvertible evolution family on the half-line and for $\rho \colon [0, \infty)\to [0, \infty)$ in a large class of rate functions, we consider the notion of a $\rho$-dichotomy with respect to a family of norms and characterize it i
Autor:
Emanuel-Ciprian Cismas, Nicolae Lupa
Publikováno v:
Monatshefte für Mathematik. 192:333-353
We study the local well-posedness in the smooth category for a class of Euler equations. A Nash–Moser approach is used to extend, for the case of an invertible elliptic pseudo-differential operator, some results obtained by Escher and Kolev, with t
Autor:
Liviu Popescu, Nicolae Lupa
Publikováno v:
Mediterranean Journal of Mathematics. 17
For nonuniform exponentially bounded evolution families defined on Banach spaces, we introduce a class of Banach function spaces, whose norms are completely determined by the nonuniform behaviour of the corresponding evolution family. We generalize a
Publikováno v:
Discrete & Continuous Dynamical Systems - B. 22:3063-3077
We give necessary integral conditions and sufficient ones for the existence of a general concept of $μ$-dichotomy for evolution operators defined on the half-line which includes as particular cases the well-known concepts of nonuniform exponential d
Publikováno v:
Linear Algebra and its Applications
Linear Algebra and its Applications, Elsevier, 2015, 469, pp.276-304. ⟨10.1016/j.laa.2014.11.031⟩
Linear Algebra and its Applications, Elsevier, 2015, 469, pp.276-304. ⟨10.1016/j.laa.2014.11.031⟩
We study the problem of whether all bipartite quantum states having a prescribed spectrum remain positive under the reduction map applied to one subsystem. We provide necessary and sufficient conditions, in the form of a family of linear inequalities