Results 101 to 110 of about 2,840,866 (277)

On the approximate controllability of fractional evolution equations with compact analytic semigroup

Journal of Computational and Applied Mathematics, 2014
N. Mahmudov, Sonuç Zorlu
semanticscholar   +1 more source

On the uniqueness of mild solutions and an averaging principle results for partial functional differential equations with infinite delay using the α-norm

Electronic Journal of Qualitative Theory of Differential Equations
In this paper, we study a class of partial functional differential equations with infinite delay within an abstract phase space framework. By employing the $\alpha$-norm, we establish the existence and uniqueness of mild solutions under a more general ...
Zakaria Elhafiane, Khalil Ezzinbi
doaj   +1 more source

Derivations and KMS-Symmetric Quantum Markov Semigroups. [PDF]

Commun Math Phys, 2023
Vernooij M, Wirth M.
europepmc   +1 more source

Impulsive fractional order integrodifferential equation via fractional operators. [PDF]

PLoS One, 2023
Al-Omari A, Al-Saadi H.
europepmc   +1 more source

Well-posedness and stability analysis of an epidemic model with infection age and spatial diffusion. [PDF]

J Math Biol, 2023
Walker C.
europepmc   +1 more source

Analytic semigroups generated by square Hörmander operators

, 1996
Summary: We show that degenerate elliptic operators of Hörmander type realized in \(\mathbb{R}^n\) generate analytic semigroups in proper Sobolev spaces and we characterize some real interpolation spaces related to the original problem.
U. GIANAZZA, VESPRI, VINCENZO
openaire   +3 more sources

An Equivalent Condition for Analytic C0-Semigroups

Journal of Mathematical Analysis and Applications, 1993
The paper studies the conditions on the infinitesimal generator of a \(C_ 0\)-semigroup under which it can be extended to an analytic semigroup. The condition is given by the following theorem. Theorem. Let \(T(t)\) be a \(C_ 0\)-semigroup with infinitesimal generator \(A\).
openaire   +2 more sources

Heat and Laplace type equations with complex spatial variables in weighted Fock spaces

Electronic Journal of Differential Equations, 2020
In a recent book co-authored by the authors of this article, we studied by semigroup theory methods several classical evolution equations, including the heat and Laplace equations, with real time variable and complex spatial variable, under the ...
Ciprian G. Gal, Sorin G. Gal
doaj  

Analyticity of Semigroups generated by Degenerate Mixed Differential Operators

, 2011
Adel Saddi
openalex   +2 more sources

On analyticity of semigroups on Bochner spaces and on vector-valued noncommutative $\mathrm{L}^p$-spaces [PDF]

, 2018
Cédric Arhancet
openalex   +1 more source