Results 21 to 30 of about 3,180,909 (182)

Characterizations of Stability for Strongly Continuous Semigroups by Convolutions [PDF]

, 1999
Lupulescu, V, Dragomir, Sever S, Buşe, Constantin   +2 more
core   +6 more sources

Particular case of operator calculus for generalized functions with supports in cone

Karpatsʹkì Matematičnì Publìkacìï, 2012
In this work the construction of functional calculus for strongly continuous semigroups of operators in Schwartz distribution algebra on some cone is generalized.
A. V. Solomko
doaj   +1 more source

On the global existence of mild solutions of nonlinear delay systems associated with continuous and analytic semigroups

Electronic Journal of Qualitative Theory of Differential Equations, 2008
In this paper we prove sufficient conditions for the existence of global solutions of nonlinear functional-differential evolution equations whose linear parts are infinitesimal generators of strongly continuous and analytic semigroups.
Milan Medved
doaj   +1 more source

Common fixed points of one-parameter nonexpansive semigroups in strictly convex Banach spaces

Abstract and Applied Analysis, 2006
One of our main results is the following convergence theorem for one-parameter nonexpansive semigroups: let C be a bounded closed convex subset of a Hilbert space E, and let {T(t):t∈ℝ+} be a strongly continuous semigroup of nonexpansive mappings on C ...
Tomonari Suzuki
doaj   +2 more sources

Existence of Mild Solutions for Fuzzy Fractional Evolution Equations via Krasnosel’skii Fixed Point Theorem [PDF]

Sahand Communications in Mathematical Analysis
The primary purpose of this paper is to investigate the existence of two distinct types of fuzzy mild solutions for fuzzy fractional evolution equations under Caputo's $gH-$differentiability.
Ismail Airou, Ali El Mfadel, Elomari Mhamed   +2 more
doaj   +1 more source

The Stability and Stabilization of Infinite Dimensional Caputo-Time Fractional Differential Linear Systems

Mathematics, 2020
We investigate the stability and stabilization concepts for infinite dimensional time fractional differential linear systems in Hilbert spaces with Caputo derivatives.
Hanaa Zitane, Ali Boutoulout, Delfim F. M. Torres   +2 more
doaj   +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.   +7 more
core   +1 more source

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

Stability of Viscous Three‐Dimensional Stratified Couette Flow via Dispersion and Mixing

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT This article explores the stability of stratified Couette flow in the viscous 3d$3d$ Boussinesq equations. In this system, mixing effects arise from the shearing background, and gravity acts as a restoring force leading to dispersive internal gravity waves.
Michele Coti Zelati, Augusto Del Zotto, Klaus Widmayer   +2 more
wiley   +1 more source