Results 21 to 30 of about 1,083,140 (374)
Abstract Impulsive Volterra Integro-Differential Inclusions
Fractal and Fractional, 2023 In this work, we provide several applications of (a, k)-regularized C-resolvent families to the abstract impulsive Volterra integro-differential inclusions.
Wei-Shih Du +2 more
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A reduced-order model of three-dimensional unsteady flow in a cavity based on the resolvent operator [PDF]
Journal of Fluid Mechanics, 2016 A novel reduced-order model for time-varying nonlinear flows arising from a resolvent decomposition based on the time-mean flow is proposed. The inputs required for the model are the mean-flow field and a small set of velocity time-series data obtained ...
F. Gómez +4 more
semanticscholar +1 more source
Alexandria Engineering Journal, 2023 In this work, to show the existence and uniqueness solution of functional integrodifferential equation with nonlocal condition and finite delay function.
Kottakkaran Sooppy Nisar +2 more
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Impulsive Fractional Semilinear Integrodifferential Equations with Nonlocal Conditions
Journal of Function Spaces, 2021 This paper is devoted to a class of impulsive fractional semilinear integrodifferential equations with nonlocal initial conditions. Based on the semigroup theory and some fixed point theorems, the existence theory of PC-mild solutions is established ...
Xue Wang, Bo Zhu
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Iterative Methods for Computing the Resolvent of Composed Operators in Hilbert Spaces
Mathematics, 2019 The resolvent is a fundamental concept in studying various operator splitting algorithms. In this paper, we investigate the problem of computing the resolvent of compositions of operators with bounded linear operators.
Yixuan Yang, Yuchao Tang, Chuanxi Zhu
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Integrated Resolvent Operators [PDF]
Journal of Integral Equations and Applications, 1995 Der Autor betrachtet die Integro-Differential-Gleichung \[ u'(t)=Au (t)+\int^t_0 B(t-s) u(s) ds+f(t), \quad t\in [ 0,T ], \quad u(0) =x. \tag{VE} \] Dabei ist \(A\) ein linearer abgeschlossener Operator mit (nicht notwendig dichtem) Definitionsbereich \(D(A)\) in einem Banachraum \(X\), der die Hille-Yoshida-Bedingung erfüllt. Es gibt reelle Konstanten
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Resolvents of elliptic cone operators [PDF]
Journal of Functional Analysis, 2006 We prove the existence of sectors of minimal growth for general closed extensions of elliptic cone operators under natural ellipticity conditions. This is achieved by the construction of a suitable parametrix and reduction to the boundary. Special attention is devoted to the clarification of the analytic structure of the resolvent.
Gil, Juan B. +2 more
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Operators in Rigged Hilbert spaces: some spectral properties [PDF]
, 2013 A notion of resolvent set for an operator acting in a rigged Hilbert space $\D \subset \H\subset \D^\times$ is proposed. This set depends on a family of intermediate locally convex spaces living between $\D$ and $\D^\times$, called interspaces.
Bellomonte, G. +2 more
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Efficient harmonic resolvent analysis via time stepping [PDF]
Theoretical and Computational Fluid Dynamics, 2023 We present an extension of the RSVD-Δt\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt ...
Ali Farghadan +3 more
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On some local spectral theory and bounded local resolvent of operator matrices [PDF]
Mathematica Bohemica, 2018 We extend and generalize some results in local spectral theory for upper triangular operator matrices to upper triangular operator matrices with unbounded entries.
Abdelaziz Tajmouati +2 more
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