Now showing items 1-6 of 6
Hölder regularity for the Moore-Gibson-Thompson equation with infinite delay
(American Institute of Mathematical Sciences (AIMS), 2018-01)
We characterize the well-posedness of a third order in time equation with infinite delay in Holder spaces, solely in terms of spectral properties concerning the data of the problem. Our analysis includes the case of the ...
Highly tempering infinite matrices
(Springer Milan, 2017-02)
In this short note, it is proved the existence of in nite matrices that not only preserve convergence and limits of sequences but also convert every mem- ber of some dense vector space consisting, except for zero, of ...
Sensitive dependence for nonautonomous discrete dynamical systems
Given a nonautonomous discrete dynamical system (NDS) we show that transitivity and density of periodic points do not imply sensitivity in general, i.e., in the definition of Devaney chaos there are no redundant conditions ...
Maximal lp-regularity for discrete time Volterra equations with delay
(Taylor & Francis, 2019-07-08)
In this paper, we investigate the existence and uniqueness of solutions belonging to the vector-valued space ℓp(Z,X) by using Blunck's theorem on the equivalence between operator-valued ℓp-multipliers and the notion of ...
Well-posedness for degenerate third order equations with delay and applications to inverse problems
(SpringerThe Hebrew University Magnes Press, 2018-10)
In this paper, we study well-posedness for the following third-order in time equation with delay (0.1)α(Mu′)′′(t)+(Nu′)′(t)=βAu(t)+γBu′(t)+Gu′t+Fut+f(t),t∈[0,2π] where α, β, γ are real numbers, A and B are linear operators ...
[S]-linear and convex structures in function families
In this paper, the notion of [S]-lineability (originally coined by Vladimir I. Gurariy) is introduced and developed in a general abstract setting. This new notion is, then, applied to specific situations, as for instance, ...