Results 31 to 40 of about 29,973 (286)
Schur functions and their realizations in the slice hyperholomorphic setting [PDF]
, 2011 we start the study of Schur analysis in the quaternionic setting using the theory of slice hyperholomorphic functions. The novelty of our approach is that slice hyperholomorphic functions allows to write realizations in terms of a suitable resolvent, the
A.H. Sayed +52 more
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H(⋅,⋅)-Cocoercive Operator and an Application for Solving Generalized Variational Inclusions
Abstract 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
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A tale of two airfoils: resolvent-based modelling of an oscillator vs. an amplifier from an experimental mean [PDF]
, 2019 The flows around a NACA 0018 airfoil at a Reynolds number of 10250 and angles of attack of alpha = 0 (A0) and alpha = 10 (A10) are modelled using resolvent analysis and limited experimental measurements obtained from particle image velocimetry.
McKeon, Beverley J. +2 more
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Study Strong Convergence and Acceleration of New Iteration Type Three – Step
Ibn 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
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RESOLVENT ESTIMATES OF THE DIRAC OPERATOR
Analysis, 1995 We shall investigate the asymptotic behavior of the extended resolvent R(s) of the Dirac operator as |s| increases to infinity, where s is a real parameter. It will be shown that the norm of R(s), as a bounded operator between two weighted Hilbert spaces of square integrable functions on the 3-dimensional Euclidean space, stays bounded.
Pladdy, Chris +2 more
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Resolvent expansions of 3D magnetic Schrödinger operators and Pauli operators [PDF]
Journal of Mathematical PhysicsWe obtain asymptotic resolvent expansions at the threshold of the essential spectrum for magnetic Schrödinger and Pauli operators in dimension three. These operators are treated as perturbations of the Laplace operator in L2(R3) and L2(R3;C2), respectively.
Arne Jensen, Hynek Kovařík
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$(C,B)$-resolvents of closed linear operators
Novi Sad Journal of Mathematics, 2022 Summary: In this note, we analyze \((C,B)\)-resolvents of closed linear operators in sequentially complete locally convex spaces. We provide a simple application in the qualitative analysis of solutions of abstract degenerate Volterra integro-differential equations.
Chaouchi, Belkacem, Kostić, Marko
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, 2013 We introduce the concepts of the Fourier transform and convolution generated by an arbitrary restriction of the differentiation operator in the space $L_{2}(0,b).$ In contrast to the classical convolution, the introduced convolution explicitly depends on
Kanguzhin, Baltabek +1 more
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, 2015 We prove operator-norm resolvent convergence estimates for one-dimensional periodic differential operators with rapidly oscillating coefficients in the non-uniformly elliptic high-contrast setting, which has been out of reach of the existing ...
Cherednichenko, Kirill D. +1 more
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Nonlocal Problems for Fractional Differential Equations via Resolvent Operators
International 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
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