Results 21 to 30 of about 457,280 (245)
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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On One Method of Studying Spectral Properties of Non-selfadjoint Operators
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
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ON THE RESOLVENT OF SOME CLASS OF GENERALIZED DIFFERENTIAL OPERATOR
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
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Resolvent Positive Operators and Positive Fractional Resolvent Families
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
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Iterative Methods for Computing the Resolvent of Composed Operators in Hilbert Spaces
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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On some local spectral theory and bounded local resolvent of operator matrices [PDF]
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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Resolvent Approximations in L2-Norm for Elliptic Operators Acting in a Perforated Space
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
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Mean resolvent operator of statistically steady flows [PDF]
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
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Wronskians, dualities and FZZT-Cardy branes
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
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H(⋅,⋅)-Cocoercive Operator and an Application for Solving Generalized Variational Inclusions
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
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