Results 71 to 80 of about 3,180,909 (182)

Non-power bounded generators of strongly continuous semigroups

Journal of Mathematical Analysis and Applications, 2016
It is folklore that a power bounded operator on a sequentially complete locally convex space generates a uniformly continuous $C_0$-semigroup which is given by the corresponding power series representation. Recently, Domański asked if in this result the assumption of being power bounded can be relaxed. We employ conditions introduced by Żelazko to give
Golińska, Anna, Wegner, Sven-Ake
openaire   +3 more sources

The eigenstructure of some positive linear operators

Journal of Numerical Analysis and Approximation Theory, 2014
Of concern is the study of the eigenstructure of some classes of positive linear operators satisfying particular conditions. As a consequence, some results concerning the asymptotic behaviour as \(t\to +\infty\) of particular strongly continuous ...
Antonio Attalienti, Ioan Raşa
doaj   +2 more sources

Classification and enumeration of finite semigroups [PDF]

, 2010
The classification of finite semigroups is difficult even for small orders because of their large number. Most finite semigroups are nilpotent of nilpotency rank 3.
Distler, Andreas
core   +2 more sources

Global and local versions for a Phong Vu theorem for periodic evolution families in Hilbert spaces

Electronic Journal of Differential Equations, 2018
A theorem of Gearhart concerning strongly continuous semigroups in Hilbert spaces is extremely useful for stability analysis of concrete equations; see e.g. [20]), and for control theory [27] or [13, page 475].
Constantin Buse, Lan Thanh Nguyen, Donal O'Regan   +2 more
doaj  

Strong convergence theorems for strongly continuous semigroups of pseudocontractions

Applied Mathematics Letters, 2011
Let \(E\) be a Banach space and \(K\) be a closed convex subset of \(E\). Let \((T(t): t\geq 0)\) be a strongly continuous semigroup of Lipschitz pseudocontractions from \(K\) to itself with \(F:=\bigcap\{\text{Fix}(T(t)): t\geq 0\}\neq \emptyset\). The strong convergence of the implicit iterative process \[ x_0\in K,\;x_{n}=\alpha_nx_{n-1}+\beta_nT ...
Ravi P. Agarwal, Xiaolong Qin, Shin Min Kang   +2 more
openaire   +3 more sources

Variation of constants formula for functional parabolic partial differential equations

Electronic Journal of Differential Equations, 2007
This paper presents a variation of constants formula for the system of functional parabolic partial differential equations $$displaylines{ frac{partial u(t,x)}{partial t} = DDelta u+Lu_t+f(t,x), quad t>0,; uin mathbb{R}^n cr frac{partial u(t,x ...
Hugo Leiva, Alexander Carrasco
doaj  

Criterion of the Existence of a Strongly Continuous Resolving Family for a Fractional Differential Equation with the Hilfer Derivative

Fractal and Fractional
In the qualitative theory of differential equations in Banach spaces, the resolving families of operators of such equations play an important role.
Vladimir E. Fedorov, Wei-Shih Du, Marko Kostić, Marina V. Plekhanova, Anton S. Skorynin   +4 more
doaj   +1 more source

A characterization of polynomially Riesz strongly continuous semigroups [PDF]

, 2006
summary:In this paper we characterize the class of polynomially Riesz strongly continuous semigroups on a Banach space $X$. Our main results assert, in particular, that the generators of such semigroups are either polynomially Riesz (then bounded) or ...
Paoli, J. Martin, Latrach, Khalid, Taoudi, M. A.   +2 more
core   +1 more source

Existence and Uniqueness of Global Mild Solutions for Nonlocal Cauchy Systems in Banach Spaces.

Revista Politécnica, 2015
Resumen: El objetivo de este artículo es estudiar la existencia y unicidad de soluciones de sistemas no-locales cuando los términos de difusión están dados por un generador infinitesimal de operadores fuertemente continuos de operadores lineales acotados.
Miguel Yangari
doaj  

Unary FA-presentable semigroups [PDF]

, 2012
Automatic presentations, also called FA-presentations, were introduced to extend nite model theory to innite structures whilst retaining the solubility of interesting decision problems.
Cain, Alan James, Ruskuc, Nik, Thomas, R.M.   +2 more
core   +1 more source