Results 11 to 20 of about 844 (219)

(F, G, C)-Resolvent Operator Families and Applications

open access: yesMathematics, 2023
In this paper, we introduce and investigate several new classes of (F,G,C)-regularized resolvent operator families subgenerated by multivalued linear operators in locally convex spaces.
Vladimir E. Fedorov, Marko Kostić
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

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

On generalized Yosida inclusion problem with application

open access: yesResults in Control and Optimization, 2023
Herein, a generalized Yosida inclusion problem involving Φ-relaxed co-accretive mapping is investigated. The resolvent and analogous generalized Yosida approximation operator is explicated and its characteristics are outlined.
Mohammad Akram
doaj   +1 more source

Study Strong Convergence and Acceleration of New Iteration Type Three – Step

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences, 2023
The aim of this article, we define new iterative methods called three-step type in which Jungck resolvent CR-iteration and resolvent Jungck SP-iteration are discussed and study rate convergence and strong convergence in Banach space to reach the fixed ...
Zena H. Maibed, Alaa M. Al-Hameedwi
doaj   +1 more source

Nonlocal Problems for Fractional Differential Equations via Resolvent Operators

open access: yesInternational Journal of Differential Equations, 2013
We discuss the continuity of analytic resolvent in the uniform operator topology and then obtain the compactness of Cauchy operator by means of the analytic resolvent method.
Zhenbin Fan, Gisèle Mophou
doaj   +1 more source

The significant contribution of stochastic forcing to nonlinear energy transfer in resolvent analysis

open access: yesTheoretical and Applied Mechanics Letters
Nonlinear energy transfer is represented through eddy viscosity and stochastic forcing within the framework of resolvent analysis. Previous investigations estimate the contribution of eddy-viscosity-enhanced resolvent operator to nonlinear energy ...
Youhua Wang, Ting Wu, Guowei He
doaj   +1 more source

Analysis Of Korteweg-Type Compressible Fluid Model With Slip Boundary Conditions In 3-Dimensional Half-Space

open access: yesCauchy: Jurnal Matematika Murni dan Aplikasi
The Korteweg fluid model is typically used to describe the flow of two-phase fluids, where phase transitions occur at the interface, recognized by capillary effects.
Suma Inna   +2 more
doaj   +1 more source

Approximation of point interactions by geometric perturbations in two-dimensional domains

open access: yesBulletin of Mathematical Sciences, 2023
In this paper, we present a new type of approximation of a second-order elliptic operator in a planar domain with a point interaction. It is of a geometric nature that the approximating family consists of operators with the same symbol and regular ...
D. I. Borisov, P. Exner
doaj   +1 more source

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