Results 1 to 10 of about 28 (26)
Multiplicative perturbations of local C-cosine functions
, 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
core +1 more source
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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Open Mathematics, 2019 It is shown that, if all weak solutions of the evolution ...
Markin Marat V.
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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
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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Perturbations of local C-cosine functions
, 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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Local C-semigroups and complete second order abstract Cauchy problems [PDF]
, 2016 Let C : X ! X be an injective bounded linear operator on a Banach space X over the field F(=R or C) and 0 < T0 1. Under some suitable assumptions, we deduce some relationship between the generation of a local (or an exponentially bounded) C 0 0 C ...
KUO, Chung-Cheng
core
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On Strongly Continuous Markovian Semigroups
Springer Proceedings in Mathematics and Statistics, 2022Zhen-Qing Chen
exaly