Results 21 to 30 of about 457,280 (245)

Results on existence of solutions in nonlocal partial functional integrodifferential equations with finite delay in nondense domain

open access: yesAlexandria 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
doaj   +1 more source

On One Method of Studying Spectral Properties of Non-selfadjoint Operators

open access: yesAbstract and Applied Analysis, 2020
In this paper, we explore a certain class of Non-selfadjoint operators acting on a complex separable Hilbert space. We consider a perturbation of a nonselfadjoint operator by an operator that is also nonselfadjoint.
Maksim V. Kukushkin
doaj   +1 more source

ON THE RESOLVENT OF SOME CLASS OF GENERALIZED DIFFERENTIAL OPERATOR

open access: yesВестник Донского государственного технического университета, 2018
In the article is given representation of the resolvent  for generalized differential operator  with generating function in the space of holomorphic functions.
A.V. BRATISHCHEV, A.V. MORZHAKOV
doaj   +1 more source

Resolvent Positive Operators and Positive Fractional Resolvent Families

open access: yesJournal of Function Spaces, 2021
This paper is concerned with positive α-times resolvent families on an ordered Banach space E (with normal and generating cone), where ...
Nan-Ding Li, Ru Liu, Miao Li
doaj   +1 more source

Iterative Methods for Computing the Resolvent of Composed Operators in Hilbert Spaces

open access: yesMathematics, 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
doaj   +1 more source

On some local spectral theory and bounded local resolvent of operator matrices [PDF]

open access: yesMathematica 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
doaj   +1 more source

Resolvent Approximations in L2-Norm for Elliptic Operators Acting in a Perforated Space

open access: yesСовременная математика: Фундаментальные направления, 2020
We study homogenization of a second-order elliptic differential operator Aε = - div a(x/ε)∇ acting in an ε-periodically perforated space, where ε is a small parameter. Coefficients of the operator Aε are measurable ε-periodic functions. The simplest case
S. E. Pastukhova
doaj   +1 more source

Mean resolvent operator of statistically steady flows [PDF]

open access: yes, 2023
This paper introduces a new operator relevant to input-output analysis of flows in a statistically steady regime far from the steady base flow: the mean resolvent $\mathbf{R}_0$. It is defined as the operator predicting, in the frequency domain, the mean
Denis Sipp   +3 more
core   +1 more source

Wronskians, dualities and FZZT-Cardy branes

open access: yesNuclear Physics B, 2016
The resolvent operator plays a central role in matrix models. For instance, with utilizing the loop equation, all of the perturbative amplitudes including correlators, the free-energy and those of instanton corrections can be obtained from the spectral ...
Chuan-Tsung Chan   +3 more
doaj   +1 more source

H(⋅,⋅)-Cocoercive Operator and an Application for Solving Generalized Variational Inclusions

open access: yesAbstract and Applied Analysis, 2011
The purpose of this paper is to introduce a new H(⋅,⋅)-cocoercive operator, which generalizes many existing monotone operators. The resolvent operator associated with H(⋅,⋅)-cocoercive operator is defined, and its Lipschitz continuity is presented.
Rais Ahmad   +3 more
doaj   +1 more source

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