Results 31 to 40 of about 3,328,865 (187)

On hypercyclicity and supercyclicity of strongly continuous semigroups induced by semiflows. Disjoint hypercyclic semigroups [PDF]

, 2020
We enquire into the basic structural properties of positively supercyclic strongly continuous semigroups induced by locally Lipschitz continuous semiflows in the setting of weighted Lp and C0-type spaces.
Kostić, Marko
core   +3 more sources

Semigroups generated by first order differential operators

Bruno Pini Mathematical Analysis Seminar
The differentiation operator in a space of continuous or $L^p$ functions defined on an interval generates a translation semigroup. Here we illustrate the generalization of this result to general first-order operators, possibly singular.
Giovanni Dore
doaj   +1 more source

Stability of strongly continuous representations of abelian semigroups

Mathematische Zeitschrift, 1992
We study the spectrum Sp(T) of a bounded, strongly continuous, representation T of a suitable Abelian semigroup S on a Banach space X. In particular, we consider the case when the unitary part of Sp(T) is countable (or scattered) and the unitary part of the point spectrum of \(T^*\) is empty.
Batty, Charles J.K., Phóng, Vu Quoc
openaire   +1 more source

Almost Periodicity on Isolated Time Scales and Applications

Mathematische Nachrichten, EarlyView.
ABSTRACT In this work, we formulate a generalized definition of almost periodicity for functions defined on isolated time scales. The introduced definition is consistent with the known formulations in the discrete and quantum calculus settings. We state two different definitions of almost periodicity and we show their relation.
Martin Bohner, Jaqueline G. Mesquita, Ronaldo Murakami   +2 more
wiley   +1 more source

Nonconstant Positive Steady States for a Predator–Prey System With Signal‐Dependent Diffusion

Mathematische Nachrichten, EarlyView.
ABSTRACT This paper investigates a highly nonlinear predator–prey reaction–diffusion system featuring signal‐dependent prey diffusion, where the motility of the prey is modulated by a chemical signal released by predators. For unbounded functional responses, we establish the global‐in‐time existence and uniform‐in‐time boundedness of classical ...
Qigang Deng, Hao Shen, Ranchao Wu, Hao Wang   +3 more
wiley   +1 more source

Exponential Stability of Higher Order Fractional Neutral Stochastic Differential Equation Via Integral Contractors

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.
ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar, Dhanalakshmi Kasinathan, Ramkumar Kasinathan, Ravikumar Kasinathan   +3 more
wiley   +1 more source

The Bergman property for semigroups [PDF]

, 2009
In this article, we study the Bergman property for semigroups and the associated notions of cofinality and strong cofinality. A large part of the paper is devoted to determining when the Bergman property, and the values of the cofinality and strong ...
Ruskuc, N., Ruskuc, Nik, Mitchell, J. D., Maltcev, Victor, J. D. Mitchell, V. Maltcev, N. Ruškuc, Maltcev, V., Mitchell, J. D.; id_orcid, Ruskuc, N.; id_orcid   +9 more
core   +1 more source

𝐶²-preserving strongly continuous Markovian semigroups [PDF]

Transactions of the American Mathematical Society, 1973
Let X X be a compact
openaire   +1 more source

Fragmentation–Coagulation Processes With Advection or Diffusion in Space

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we consider a continuous fragmentation–coagulation model in which the reacting particles can be transported in physical space through either advection or diffusion. We prove new results on the generation of C0$$ {C}_0 $$‐semigroups with parameter and use them to show that the abstract Cauchy problem associated with a more ...
Jacek Banasiak, Nduduzo Majozi
wiley   +1 more source

Feller semigroups, Lp-sub-Markovian semigroups, and applications to pseudo-differential operators with negative definite symbols [PDF]

, 2001
The question of extending L-p-sub-Markovian semigroups to the spaces L-q, q > P, and the interpolation of LP-sub-Markovian semigroups with Feller semigroups is investigated.
Farkas, Walter, Schilling, René L., Schilling, Rene L, Farkas, Walter; https://orcid.org/, Jacob, Niels   +4 more
core   +1 more source