Results 41 to 50 of about 300 (51)

A note on the spectral operators of scalar type and semigroups of bounded linear operators

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 10, Page 635-640, 2002., 2002
It is shown that, for the spectral operators of scalar type, the well‐known characterizations of the generation of C0‐ and analytic semigroups of bounded linear operators can be reformulated exclusively in terms of the spectrum of such operators, the conditions on the resolvent of the generator being automatically met and the corresponding semigroup ...
Marat V. Markin
wiley   +1 more source

A Dichotomy for Ordinary Differential Equations in a Banach Space [PDF]

open access: yes, 2010
A dichotomysimilar property for a class of homogeneous differential equations in an arbitrary Banach space is introduced.
Kiskinov, Hristo, Kostadinov, Stepan
core  

Abstract fractional integro-differential equations involving nonlocal initial conditions in α-norm

open access: yesAdvances in Difference Equations, 2011
In the present paper, we deal with the Cauchy problems of abstract fractional integro-differential equations involving nonlocal initial conditions in α-norm, where the operator A in the linear part is the generator of a compact analytic semigroup ...
Wang Rong-Nian, Liu Jun, Chen De-Han
doaj  

Lyapunov theorems for Banach spaces [PDF]

open access: yes, 2011
The final version of this paper appears in: "Bulletin of the American Mathematical Society" 31 (1994): 44-49. Print.We present a spectral mapping theorem for semigroups on any Banach space E.
Latushkin, Yuri, 1956-   +1 more
core  

Addendum to "Maximal regularity and Hardy spaces"

open access: yes, 2008
We correct an inaccuracy in a previous article [Auscher, Pascal; Bernicot, Fr\'ed\'eric; Zhao, Jiman. Maximal regularity and Hardy spaces. Collect. Math. 59 (2008), no. 1, 103-127.
Auscher, Pascal   +2 more
core   +1 more source

Numerical Range and Quadratic Numerical Range for Damped Systems [PDF]

open access: yes, 2017
We prove new enclosures for the spectrum of non-selfadjoint operator matrices associated with second order linear differential equations $\ddot{z}(t) + D \dot{z} (t) + A_0 z(t) = 0$ in a Hilbert space.
Jacob, Birgit   +3 more
core   +1 more source

Regulatory modules mediating the complex neural expression patterns of the homeobrain gene during Drosophila brain development. [PDF]

open access: yesHereditas, 2022
Hildebrandt K   +8 more
europepmc   +1 more source

Ultradifferentiable classes of entire functions. [PDF]

open access: yesAdv Oper Theory, 2023
Nenning DN, Schindl G.
europepmc   +1 more source

Maximal regularity and Hardy spaces

open access: yes, 2007
In this work, we consider the Cauchy problem for $u' - Au = f$ with $A$ the Laplacian operator on some Riemannian manifolds or a sublapacian on some Lie groups or some second order elliptic operators on a domain.
Auscher, Pascal   +2 more
core   +1 more source

Isolation and characterization of lymphocyte-like cells from a lamprey. [PDF]

open access: yesProc Natl Acad Sci U S A, 2002
Mayer WE   +5 more
europepmc   +1 more source

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