Results 71 to 80 of about 3,328,865 (187)
On the Compactness of Strongly Continuous Semigroups and Cosine Functions of Operators [PDF]
Proceedings of the American Mathematical Society, 1995 In this note we relate two notions of compactness for strongly continuous semigroups of linear operators and cosine functions of linear operators. Specifically, if T denotes a strongly continuous semigroup of linear operators defined on a Banach space X
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A new look at boundary perturbations of generators
Electronic Journal of Differential Equations, 2004 In this paper we show that Greiner's results on boundary perturbation can be obtained systematically and partially generalised by applying additive perturbation theorems to appropriate operator matrices.
Gregor Nickel
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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
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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
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A Desch-Schappacher perturbation theorem for bi-continuous semigroups
, 2018 We prove a Desch-Schappacher type perturbation theorem for one-parameter semigroups on Banach spaces which are not strongly continuous for the norm, but possess a weaker continuity property.
Christian, Budde, Farkas, Bálint
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Strongly continuous and locally equi-continuous semigroups on locally convex spaces [PDF]
, 2015 We consider locally equi-continuous strongly continuous semigroups on locally convex spaces (X,?) that are also equipped with a ‘suitable’ auxiliary norm. We introduce the set N of ? -continuous semi-norms that are bounded by the norm.
Richard Kraaij, Kraaij, R.C. (author)
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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 +2 more
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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 +2 more
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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
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Fractal and FractionalIn the qualitative theory of differential equations in Banach spaces, the resolving families of operators of such equations play an important role.
Vladimir E. Fedorov +4 more
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