Results 31 to 40 of about 458 (65)
On a mild solution of a semilinear functional‐differential evolution nonlocal problem
International Journal of Stochastic Analysis, Volume 10, Issue 3, Page 265-271, 1997., 1997 The existence, uniqueness, and continuous dependence of a mild solution of a nonlocal Cauchy problem for a semilinear functional‐differential evolution equation in a general Banach space are studied. Methods of a C0 semigroup of operators and the Banach contraction theorem are applied.
Ludwik Byszewski, Haydar Akca
wiley +1 more source
Regularized functional calculi, semigroups, and cosine functions for pseudodifferential operators
Abstract and Applied Analysis, Volume 2, Issue 1-2, Page 121-136, 1997., 1997 Let iAj(1 ≤ j ≤ n) be generators of commuting bounded strongly continuous groups, A ≡ (A1, A2, …, An). We show that, when f has sufficiently many polynomially bounded derivatives, then there exist k, r > 0 such that f(A) has a ‐regularized BCk(f(Rn)) functional calculus.
Ralph Delaubenfels, Yansong Lei
wiley +1 more source
A class of singularly perturbed evolution systems
International Journal of Stochastic Analysis, Volume 7, Issue 2, Page 179-190, 1994., 1994 In this paper we study a class of evolution equations where the semigroup generators are singularly perturbed by a nonnegative real valued function of time. Sufficient conditions for existence of evolution operators and their compactness are given including continuous dependence on the perturbation. Further, for a coupled system of singularly perturbed
N. U. Ahmed
wiley +1 more source
Asymptotic parabolicity for strongly damped wave equations
, 2013 For $S$ a positive selfadjoint operator on a Hilbert space, \[ \frac{d^2u}{dt}(t) + 2 F(S)\frac{du}{dt}(t) + S^2u(t)=0 \] describes a class of wave equations with strong friction or damping if $F$ is a positive Borel function.
Fragnelli, Genni +3 more
core +1 more source
Dynamical Systems on Hilbert C*-Modules [PDF]
, 2005 We investigate the generalized derivations and show that every generalized derivation on a simple Hilbert $C^*$-module either is closable or has a dense range.
Abbaspour, Gh. +2 more
core +3 more sources
Existence of positive periodic solutions for evolution equations with delay in ordered Banach spaces
Open MathematicsThe main focus of this study is to discuss the existence of positive ω\omega -periodic mild solutions for evolution equation with delay in an ordered Banach space EE. Under the ordered conditions of the growth exponent of the nonlinearity gg with respect
Zhang Jing, Gou Haide
doaj +1 more source
Hypercontractivity of heat semigroups on free quantum groups
, 2016 In this paper we study two semigroups of completely positive unital self-adjoint maps on the von Neumann algebras of the free orthogonal quantum group $O_N^+$ and the free permutation quantum group $S_N^+$.
Franz, Uwe +4 more
core +3 more sources
Generation of subordinated holomorphic semigroups via Yosida's theorem
, 2014 Using functional calculi theory, we obtain several estimates for $\|\psi(A)g(A)\|$, where $\psi$ is a Bernstein function, $g$ is a bounded completely monotone function and $-A$ is the generator of a holomorphic $C_0$-semigroup on a Banach space, bounded ...
Gomilko, Alexander, Tomilov, Yuri
core +1 more source
Sundual characterizations of the translation group of R [PDF]
, 2003 We characterize the first three sundual spaces of C-0(R), with respect to the translation group of ...
Jackson, Frances Y., Luxemburg, W. A. J.
core
Mapping Cones are Operator Systems
, 2011 We investigate the relationship between mapping cones and matrix ordered *-vector spaces (i.e., abstract operator systems). We show that to every mapping cone there is an associated operator system on the space of n-by-n complex matrices, and furthermore
Johnston, Nathaniel, Størmer, Erling
core +1 more source