Results 11 to 20 of about 28 (28)

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

On the Gevrey ultradifferentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator of orders less than one

Open Mathematics, 2019
It is shown that, if all weak solutions of the evolution ...
Markin Marat V.
doaj   +1 more source

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
core   +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
doaj   +1 more source

On the Gevrey ultradifferentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator on the open semi-axis

Open Mathematics, 2019
Given the abstract evolution ...
Markin Marat V.
doaj   +1 more source

Local C-semigroups and complete second order abstract Cauchy problems

, 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, 2022
Zhen-Qing Chen, Chen Zhen-Qing
exaly  

DISTRIBUTION COSINE FUNCTIONS

Taiwanese Journal of Mathematics, 2006
Marko Kostic
exaly  

A PERTURBATION THEOREM OF MIYADERA TYPE FOR LOCAL $C$-REGULARIZED SEMIGROUPS

Taiwanese Journal of Mathematics, 2006
Ti-Jun Xiao, Jin Liang
exaly  

ON PERTURBATION OF LOCAL INTEGRATED COSINE FUNCTIONS

Taiwanese Journal of Mathematics, 2012
Chung-Cheng Kuo
exaly