Results 1 to 10 of about 54 (30)
Open Mathematics, 2020 Given the abstract evolution equation y′(t)=Ay(t),t∈ℝ,y^{\prime} (t)=Ay(t),t\in {\mathbb{R}}, with a scalar type spectral operator A in a complex Banach space, we find conditions on A, formulated exclusively in terms of the location of its spectrum in ...
Markin Marat V.
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Multiplicative perturbations of local C-cosine functions [PDF]
, 2021 We establish some left and right multiplicative perturbations of a local C-cosine function C(·) on a complex Banach space X with non-densely defined generator, which can be applied to obtain some new additive perturbation results concerning C ...
KUO, Chung-Cheng, YEH, Nai-Sher
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Stability analysis in continuous and discrete time, using the Cayley transform [PDF]
, 2010 For semigroups and for bounded operators we introduce the new notion of Bergman distance. Systems with a finite Bergman distance share the same stability properties, and the Bergman distance is preserved under the Cayley transform.
Besseling, Niels, Zwart, Hans
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Perturbations of local C-cosine functions [PDF]
, 2020 We show that A+B is a closed subgenerator of a local C-cosine function T (·) on a complex Banach space X defined by ∞ t T (t)x = \u27\" Bn n=0 0 jn−1 (s)jn(t − s)C(|t − 2s|)xds for all x ∈ X and 0 ≤ t < T0, if A is a closed subgenerator of a local C ...
KUO, Chung-Cheng
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The Perron Problem for C-Semigroups [PDF]
, 2004 <p>Characterizations of Perron-type for the exponential stability of exponentially bounded C-semigroups are given. Also, some applications for the asymptotic behavior of the integrated semigroups are obtained.</p>
Pogan, Alin +2 more
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Comments on the Chernoff √ n-Lemma [PDF]
, 2016 Dedicated to Pavel Exner on the occasion of his 70th anniversary.International audienceThe Chernoff √ n-Lemma is revised. This concerns two aspects: an improvement of the Chernoff estimate in the strong operator topol-ogy and an operator-norm estimate ...
Zagrebnov, Valentin
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C0‐continuity of the Fröbenius‐Perron semigroup
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 5, Page 307-319, 2002., 2002 We consider the Fröbenius‐Perron semigroup of linear operators associated to a semidynamical system defined in a topological space X endowed with a finite or a σ‐finite regular measure. We prove that if there exists a faithful invariant measure for the semidynamical system, then the Fröbenius‐Perron semigroup of linear operators is C0‐continuous in the
Andrés Navas, Sergio Plaza
wiley +1 more source
Open Mathematics, 2019 It is shown that, if all weak solutions of the evolution ...
Markin Marat V.
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Almost Periodic Solutions of C-well-posed Evolution Equations [PDF]
, 2006 This paper is concerned with the existence and uniqueness of almost periodic mild solutions of evolution equations of the form u(t) = Au(t) + ƒ(t) where A is the generator of a holomorphic Csemigroup on a Banach space and ƒ is an almost periodic function.
Minh, Nguyen Van
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Solving Becker’s Problem on Periodic Solutions of Parabolic Evolution Equations
Advanced Nonlinear Studies, 2018 We present existence and multiplicity theorems for periodic mild solutions to parabolic evolution equations. Their peculiarity is a link with the spectrum of the generator of the semigroup rather than with the spectrum of the linearized periodic BVP for ...
Vidossich Giovanni
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