Results 31 to 40 of about 461 (64)
UNIVERSALITY AND TRANSITIVITY OF SEMIGROUPS OF OPERATORS
, 2016 Let B(X) denote the algebra of all bounded linear operators on a infinitedimensional separable complex Banach space X and M a nonzero subspace of X. In this paper we study the notion of disjoint or diagonally subspace universal respect to M ( in short d ...
A. Tajmouati +3 more
semanticscholar +1 more source
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
On a class of (a; k)-regularized C-resolvent families
, 2012 In this paper, we investigate the basic structural properties of (analytic) q-exponentially equicontinuous (a, k)-regularized C-resolvent families in sequentially complete locally convex spaces.
M. Kostic
semanticscholar +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
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
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
A modification to the conformable fractional calculus with some applications
Alexandria Engineering Journal, 2020 In the conformable fractional calculus, TαTβ≠TβTα and IαIβ≠IβIα, where Tα and Iα are conformable fractional differential and integral operators, respectively. Also, Tβ≠Tnα and Iβ≠Inα, where β=nα for some n∈N.
Ahmad El-Ajou
doaj
Uniqueness of a pre-generator for $C_0$-semigroup on a general locally convex vector space [PDF]
, 2006 The main purpose is to generalize a theorem of Arendt about uniqueness of $C_0$-semigroups from Banach space setting to the general locally convex vector spaces, more precisely, we show that cores are the only domains of uniqueness for $C_0$-semigroups ...
Lemle, Ludovic Dan, Wu, Liming
core +2 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