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A formula for the sum of $n$ weak$^\star $ closed sets in $L^\infty $
Comptes Rendus. Mathématique, 2023 In this note, we derive an equation which describes the closure of a particular set comprising $n-$valued functions. This result provides an answer to a long standing question for which the particular case $n=2$ had been known and used frequently in the ...
Zivari-Rezapour, Mohsen +2 more
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Nonlinear Eigenvalue Problems with Specified Eigenvalues [PDF]
SIAM Journal on Matrix Analysis and Applications, 2014 This work considers eigenvalue problems that are nonlinear in the eigenvalue parameter. Given such a nonlinear eigenvalue problem T, we are concerned with finding the minimal backward error such that T has a set of prescribed eigenvalues with prescribed algebraic multiplicities.
Michael Karow +2 more
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Generalized eigenvalue problems with specified eigenvalues [PDF]
IMA Journal of Numerical Analysis, 2013 We consider the distance from a (square or rectangular) matrix pencil to the nearest matrix pencil in 2-norm that has a set of specified eigenvalues. We derive a singular value optimization characterization for this problem and illustrate its usefulness for two applications.
D. Kressner +3 more
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On a Class of Positive Definite Operators and Their Application in Fractional Calculus
Axioms, 2022 This paper is devoted to the spectral analysis of one class of integral operators, associated with the boundary value problems for differential equations of fractional order. Approximation matrices are also investigated.
Temirkhan Aleroev
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Adomian decomposition method for solving nonlinear fractional sturm-liouville problem
Cumhuriyet Science Journal, 2020 In the present paper, the Adomian decomposition method is employed for solving nonlinear fractional Sturm-Liouville equation. The numerical results for the eigenfunctions and the eigenvalues are obtained. Also, the present results are demonstrated by the
Ahu Ercan
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021 We study a sequence of differential operators of high even order whose potentials converge to the Dirac delta-function. One of the types of separated boundary conditions is considered.
Sergei I. Mitrokhin
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Calculus of Variations and Partial Differential Equations, 2013 We study a non-local eigenvalue problem related to the fractional Sobolev spaces for large values of p and derive the limit equation as p goes to infinity. Its viscosity solutions have many interesting properties and the eigenvalues exhibit a strange behaviour.
Lindgren, Erik, Lindqvist, Peter
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Synchronizability of Multi-Layer Dual-Center Coupled Star Networks
Frontiers in Physics, 2021 In the research on complex networks, synchronizability is a significant measurement of network nature. Several research studies center around the synchronizability of single-layer complex networks and few studies on the synchronizability of multi-layer ...
Jian Zhu +4 more
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Guaranteed Eigenvalue Bounds for the Steklov Eigenvalue Problem [PDF]
SIAM Journal on Numerical Analysis, 2019 To provide mathematically rigorous eigenvalue bounds for the Steklov eigenvalue problem, an enhanced version of the eigenvalue estimation algorithm developed by the third author is proposed, which removes the requirements of the positive definiteness of bilinear forms in the formulation of eigenvalue problems.
Chun'guang You, Hehu Xie, Xuefeng Liu
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Eigenvalue-eigenfunction problem for Steklov's smoothing operator and differential-difference equations of mixed type [PDF]
Opuscula Mathematica, 2013 It is shown that any \(\mu \in \mathbb{C}\) is an infinite multiplicity eigenvalue of the Steklov smoothing operator \(S_h\) acting on the space \(L^1_{loc}(\mathbb{R})\).
Serguei I. Iakovlev, Valentina Iakovleva
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