Results 91 to 100 of about 193,737 (236)

A semigroup perturbation theorem with application to a singular perturbation problem in nonlinear ordinary differential equations

, 1979
LetB denote the infinitesimal operator of a strongly continuous semigroup S(t), with resolvent Rλ, on Banach space L. We define related operators P and V so that λRλf = Pf + λVf + o(λ), as λ → 0+.
Kertz, Robert P.
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Shape-preserving properties and asymptotic behaviour of the semigroup generated by the Black-Scholes operator [PDF]

, 2008
summary:The paper is devoted to a careful analysis of the shape-preserving properties of the strongly continuous semigroup generated by a particular second-order differential operator, with particular emphasis on the preservation of higher order ...
Rasa, Ioan, Attalienti, Antonio
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Existence of solutions to a nonlinear fractional diffusion equation with exponential growth

Nonlinear Analysis
In this paper, we study a Cauchy problem for a space–time fractional diffusion equation with exponential nonlinearity. Based on the standard Lp-Lq estimates of strongly continuous semigroup generated by fractional Laplace operator, we investigate the ...
Jia Wei He, Yong Zhou, Ahmed Alsaedi, Bashir Ahmad   +3 more
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Semigroup Properties and the Crandall Liggett Approximation for a Class of Differential Equations with State-Dependent Delays

, 2002
We present an approach for the resolution of a class of differential equations with state-dependent delays by the theory of strongly continuous nonlinear semigroups. We show that this class determines a strongly continuous semigroup in a closed subset of
Arino, O., Louihi, M., Hbid, M.L.
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Preservation of Mean-Square Lyapunov Exponents for Nonautonomous Stochastic Evolution Equations

Axioms
We study the long-time behavior of nonlinear stochastic evolution equations in a separable Hilbert space driven by a Q-Wiener process. The linear part of the equation is generated by a strongly continuous semigroup with an exponential dichotomy, which ...
Dmytro Shtefan, Oleksandr Stanzhytskyi, Svitlana Kushnirenko   +2 more
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On the reduction of a contraction semigroup to a completely non unitary semigroup

, 1979
According to a Theorem of B. Sz.-Nagy and C. Foiaş, every strongly continuous semigroup of contraction operators on a Hilbert space, can be decomposed into a completely non unitary part and a unitary part.
Levan, N, Rigby, L
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The Semigroup and the Inverse of the Laplacian on the Heisenberg Group

Cubo, 2010
By decomposing the Laplacian on the Heisenberg group into a family of parametrized partial differential operators Lt ,t ∈ R {0}, and using parametrized Fourier-Wigner transforms, we give formulas and estimates for the strongly continuous one ...
APARAJITA DASGUPTA, M.W WONG
doaj  

Strong continuity of semigroup homomorphisms

, 1999
Let J be an abelian topological semigroup and C a subset of a Banach space X. Let L(X) be the space of bounded linear operators on X and Lip(C) the space of Lipschitz functions ⨍: C → C.
Basit, Bolis, Pryde, A.
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Strong Convergence Theorems of the General Iterative Methods for Nonexpansive Semigroups in Banach Spaces

International Journal of Mathematics and Mathematical Sciences, 2011
Let E be a real reflexive Banach space which admits a weakly sequentially continuous duality mapping from E to E*.
Rattanaporn Wangkeeree
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A New Proof for a Rolewicz's Type Theorem: An Evolution Semigroup Approach

, 2001
Let $varphi$ be a positive and non-decreasing function defined on the real half-line and $mathcal{U}$ be a strongly continuous and exponentially bounded evolution family of bounded linear operators acting on a Banach space. We prove that if $varphi$ and $
Constantin Buse, S. S. Dragomir, Sever S. Dragomir, Dragomir, Sever S, C. Buse, Buşe, Constantin   +5 more
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