About the Resolvent Kernel of Neutral Linear Fractional System with Distributed Delays
Mathematics, 2022 The present work considers the initial problem (IP) for a linear neutral system with derivatives in Caputo’s sense of incommensurate order, distributed delay and various kinds of initial functions.
Hristo Kiskinov +2 more
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On the generalized spectrum of bounded linear operators in Banach spaces
AIMS Mathematics, 2023 Utilizing the stability characterizations of generalized inverses, we investigate the generalized resolvent of linear operators in Banach spaces. We first prove that the local analyticity of the generalized resolvent is equivalent to the continuity and ...
Jue Feng , Xiaoli Li, Kaicheng Fu
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Unique solvability of boundary value problem for functional differential equations with involution
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In this paper we consider a boundary value problem for systems of Fredholm type integral-differential equations with involutive transformation, containing derivative of the required function on the right-hand side under the integral sign.
K.Zh. Nazarova, K.I. Usmanov
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On non-normality and classification of amplification mechanisms in stability and resolvent analysis [PDF]
, 2017 We seek to quantify non-normality of the most amplified resolvent modes and predict their features based on the characteristics of the base or mean velocity profile.
Dawson, Scott T. M. +3 more
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Separability of the third-order differential operator given on the whole plane
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 In this paper, in the space L2(R2), we study a third-order differential operator with continuous coefficients in R (-∞ , +∞). Here, these coefficients can be unlimited functions at infinity.
A.O. Suleimbekova
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On the relevance of Reynolds stresses in resolvent analyses of turbulent wall-bounded flows
, 2019 The ability of linear stochastic response analysis to estimate coherent motions is investigated in turbulent channel flow at friction Reynolds number Re$_\tau$ = 1007.
Cossu, Carlo +3 more
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Resolvability and Strong Resolvability in the Direct Product of Graphs [PDF]
Results in Mathematics, 2016 Given a connected graph $G$, a vertex $w\in V(G)$ distinguishes two different vertices $u,v$ of $G$ if the distances between $w$ and $u$ and between $w$ and $v$ are different. Moreover, $w$ strongly resolves the pair $u,v$ if there exists some shortest $u-w$ path containing $v$ or some shortest $v-w$ path containing $u$.
Dorota Kuziak +2 more
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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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, 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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A study of resolvent set for a class of band operators with matrix elements
Concrete Operators, 2016 For operators generated by a certain class of infinite three-diagonal matrices with matrix elements we establish a characterization of the resolvent set in terms of polynomial solutions of the underlying second order finite-difference equations.
Osipov Andrey
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