Results 11 to 20 of about 8,783 (264)

INTEGRAL RESOLVENT FOR VOLTERRA EQUATIONS AND FAVARD SPACES

open access: yesПроблемы анализа, 2021
The objective of this work is to give a characterization of the domain 𝐷 (𝐴) of 𝐴 in terms of the integral resolvent family of the equation 𝑥 (𝑡) = 𝑥_0 +∫︀^𝑡_0 𝑎 (𝑡 − 𝑠) 𝐴𝑥(𝑠)𝑑𝑠, 𝑡 > 0, where 𝐴 is a linear closed densely defined operator, 𝑎 ∈ 𝐿^1_(𝑙𝑜𝑐 ...
A. Fadili, F. Maragh
doaj   +1 more source

Spectral projections and resolvent bounds for partially elliptic quadratic differential operators [PDF]

open access: yes, 2012
We study resolvents and spectral projections for quadratic differential operators under an assumption of partial ellipticity. We establish exponential-type resolvent bounds for these operators, including Kramers-Fokker-Planck operators with quadratic ...
B Helffer   +8 more
core   +1 more source

Properties of the resolvent of a linear Abel integral equation: implications for a complementary fractional equation

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2016
New and known properties of the resolvent of the kernel of linear Abel integral equations of the form \begin{equation} \tag{A$_\lambda$} x(t) = f(t) - \lambda \int_0^t (t - s)^{q-1}x(s)\,ds, \end{equation} where $\lambda > 0$ and $q \in (0,1)$, are ...
Leigh Becker
doaj   +1 more source

Resolving Resolvins

open access: yesChemistry & Biology, 2013
In this issue of Chemistry & Biology, Dalli and colleagues report the chemical structures of resolvin D3 (RvD3) and aspirin-triggered RvD3, derived from the ω3-fatty acid docosahexaenoic acid. These compounds have a specific temporal appearance within inflammation resolution and display anti-inflammatory and proresolving properties.
Haeggström, Jesper Z., Hamberg, Mats
openaire   +2 more sources

Compositions and Averages of Two Resolvents: Relative Geometry of Fixed Points Sets and a Partial Answer to a Question by C. Byrne [PDF]

open access: yes, 2010
We show that the set of fixed points of the average of two resolvents can be found from the set of fixed points for compositions of two resolvents associated with scaled monotone operators.
Bauschke, Heinz H., Wang, Xianfu
core   +1 more source

Non-universality of compact support probability distributions in random matrix theory [PDF]

open access: yes, 1999
The two-point resolvent is calculated in the large-n limit for the generalized fixed and bounded trace ensembles. It is shown to disagree with that of the canonical Gaussian ensemble by a nonuniversal part that is given explicitly for all monomial ...
A. Khorunzhy   +14 more
core   +2 more sources

Solving matrix models using holomorphy [PDF]

open access: yes, 2003
We investigate the relationship between supersymmetric gauge theories with moduli spaces and matrix models. Particular attention is given to situations where the moduli space gets quantum corrected. These corrections are controlled by holomorphy.
D. Berenstein   +41 more
core   +3 more sources

Existence of Fixed Points of Firmly Nonexpansive-Like Mappings in Banach Spaces

open access: yesFixed Point Theory and Applications, 2010
The aim of this paper is to obtain some existence theorems related to a hybrid projection method and a hybrid shrinking projection method for firmly nonexpansive-like mappings (mappings of type (P)) in a Banach space.
Fumiaki Kohsaka, Koji Aoyama
doaj   +2 more sources

Solutions to Riemann–Liouville fractional integrodifferential equations via fractional resolvents

open access: yesAdvances in Difference Equations, 2019
This paper is concerned with the semilinear fractional integrodifferential system with Riemann–Liouville fractional derivative. Firstly, we introduce the suitable C1−α $C_{1-\alpha }$-solution to Riemann–Liouville fractional integrodifferential equations
Shaochun Ji, Dandan Yang
doaj   +1 more source

On confinement in a light-cone Hamiltonian for QCD [PDF]

open access: yes, 1998
The canonical front form Hamiltonian for non-Abelian SU(N) gauge theory in 3+1 dimensions and in the light-cone gauge is mapped non-perturbatively on an effective Hamiltonian which acts only in the Fock space of a quark and an antiquark.
Pauli, Hans-Christian
core   +3 more sources

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