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Fractional Sturm–Liouville Eigenvalue Problems, II [PDF]

open access: yesFractal and Fractional, 2022
We continue the study of a non-self-adjoint fractional three-term Sturm–Liouville boundary value problem (with a potential term) formed by the composition of a left Caputo and left Riemann–Liouville fractional integral under Dirichlet type boundary ...
Mohammad Dehghan, Angelo B. Mingarelli
doaj   +3 more sources

Non linear eigenvalue problems [PDF]

open access: yesMatemática Contemporânea, 2004
In this paper we consider generalized eigenvalue problems for a family of operators with a polynomial dependence on a complex parameter. This problem is equivalent to a genuine non self-adjoint operator.
Robert, Didier
core   +5 more sources

An optimal mass transport approach for limits of eigenvalue problems for the fractional p-Laplacian [PDF]

open access: yesAdvances in Nonlinear Analysis, 2015
We find an interpretation using optimal mass transport theory for eigenvalue problems obtained as limits of the eigenvalue problems for the fractional p-Laplacian operators as p → +∞. We deal both with Dirichlet and Neumann boundary conditions.
Del Pezzo Leandro   +3 more
doaj   +4 more sources

Eigenvalue inclusion sets for linear response eigenvalue problems

open access: yesDemonstratio Mathematica, 2022
In this article, some inclusion sets for eigenvalues of a matrix in the linear response eigenvalue problem (LREP) are established. It is proved that the inclusion sets are tighter than the Geršgorin-type sets.
He Jun, Liu Yanmin, Lv Wei
doaj   +1 more source

Structured Eigenvalue Problems [PDF]

open access: yesGAMM-Mitteilungen, 2006
AbstractMost eigenvalue problems arising in practice are known to be structured. Structure is often introduced by discretization and linearization techniques but may also be a consequence of properties induced by the original problem. Preserving this structure can help preserve physically relevant symmetries in the eigenvalues of the matrix and may ...
Fassbender, Heike, Kressner, Daniel
openaire   +2 more sources

Pareto Z-eigenvalue inclusion theorems for tensor eigenvalue complementarity problems

open access: yesJournal of Inequalities and Applications, 2022
This paper presents some sharp Pareto Z-eigenvalue inclusion intervals and discusses the relationships among different Pareto Z-eigenvalue inclusion intervals for tensor eigenvalue complementarity problems.
Ping Yang   +3 more
doaj   +1 more source

Generalized eigenvalue problems with specified eigenvalues [PDF]

open access: yesIMA 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
openaire   +6 more sources

Nonlinear Eigenvalue Problems with Specified Eigenvalues [PDF]

open access: yesSIAM 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
openaire   +5 more sources

Stability of Heterogeneous Beams with Three Supports—Solutions Using Integral Equations

open access: yesApplied Mechanics, 2023
It is our main objective to find the critical load for three beams with cross sectional heterogeneity. Each beam has three supports, of which the intermediate one is a spring support.
László Kiss   +2 more
doaj   +1 more source

Quadratic Eigenvalue Problems [PDF]

open access: yesMathematische Nachrichten, 1995
We consider the quadratic eigenvalue problem \[ (\mu^2 R+\mu S+T) y= 0\tag{1} \] with selfadjoint operators \(R\), \(S\) and \(T\) in the Hilbert space \({\mathcal G}\). The operator \(S\) is supposed to be ``large'' with respect to the operators \(R\) and \(T\). For simplicity we assume that \(R\) and \(T\) have bounded inverses. If, additionally, \(S\
Ćurgus, Branko, Najman, Branko
openaire   +2 more sources

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