Results 1 to 10 of about 28 (28)

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

open access: yesOpen 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.
doaj   +1 more source

C0‐continuity of the Fröbenius‐Perron semigroup

open access: yesInternational 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

open access: yesAdvanced 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
Some of the next articles are maybe not open access.

DISTRIBUTION COSINE FUNCTIONS

Taiwanese Journal of Mathematics, 2006
Marko Kostic
exaly  

LOCAL $K$-CONVOLUTED $C$-SEMIGROUPS AND ABSTRACT CAUCHY PROBLEMS

Taiwanese Journal of Mathematics, 2015
Chung-Cheng Kuo
exaly  

ON PERTURBATION OF LOCAL INTEGRATED COSINE FUNCTIONS

Taiwanese Journal of Mathematics, 2012
Chung-Cheng Kuo
exaly  

Perturbation of non-exponentially-bounded a-times integrated C-semigroups

Journal of the Mathematical Society of Japan, 2003
Sen-Yen Shaw
exaly  

GENERATION OF LOCAL $C$-SEMIGROUPS AND SOLVABILITY OF THE ABSTRACT CAUCHY PROBLEMS

Taiwanese Journal of Mathematics, 2005
Sen-Yen Shaw, Chung-Cheng Kuo
exaly  

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