Results 11 to 20 of about 29,968 (263)
Nonlinear Analysis, 2022 In this paper, we are concerned with the eigenvalue problem of Hadamard-type singular fractional differential equations with multi-point boundary conditions.
Xinguang Zhang +4 more
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Structured Eigenvalue Problems [PDF]
GAMM-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
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Product Eigenvalue Problems [PDF]
SIAM Review, 2005 Summary: Many eigenvalue problems are most naturally viewed as product eigenvalue problems. The eigenvalues of a matrix \(A\) are wanted, but \(A\) is not given explicitly. Instead it is presented as a product of several factors: \(A = A_{k}A_{k-1}\dots A_{1}\). Usually more accurate results are obtained by working with the factors rather than forming \
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Three spectra inverse Sturm–Liouville problems with overlapping eigenvalues
Electronic Journal of Qualitative Theory of Differential Equations, 2017 In the paper we show that the Dirichlet spectra of three Sturm–Liouville differential operators defined on the intervals $[0,1]$, $[0,a]$ and $[a,1]$ for some $a\in (0,1)$ fixed, together with the knowledge of the normalizing constants corresponding to ...
Shouzhong Fu, Zhong Wang, Guangsheng Wei
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On the spectrum structure for one difference eigenvalue problem with nonlocal boundary conditions
Mathematical Modelling and Analysis, 2023 The difference eigenvalue problem approximating the one-dimensional differential equation with the variable weight coefficients in an integral conditions is considered.
Mifodijus Sapagovas +3 more
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Quadratic Eigenvalue Problems [PDF]
Mathematische 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
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MATEC Web of Conferences, 2017 The problem of finding the minimal eigenvalue corresponding to a positive eigenfunction of the nonlinear eigenvalue problem for the ordinary differential equation with coefficients depending on a spectral parameter is investigated. This problem arises in
Solov´ev Sergey I. +2 more
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The nonlinear eigenvalue problem [PDF]
Acta Numerica, 2017 Nonlinear eigenvalue problems arise in a variety of science and engineering applications, and in the past ten years there have been numerous breakthroughs in the development of numerical methods. This article surveys nonlinear eigenvalue problems associated with matrix-valued functions which depend nonlinearly on a single scalar parameter, with a ...
Stefan Güttel, Françoise Tisseur
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Eigenvalue problems for anisotropic equations involving a potential on Orlicz-Sobolev type spaces [PDF]
Opuscula Mathematica, 2016 In this paper we consider an eigenvalue problem that involves a nonhomogeneous elliptic operator, variable growth conditions and a potential \(V\) on a bounded domain in \(\mathbb{R}^N\) (\(N\geq 3\)) with a smooth boundary.
Ionela-Loredana Stăncuţ +1 more
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Fractional eigenvalue problems on $\mathbb{R}^N$
Electronic Journal of Qualitative Theory of Differential Equations, 2020 Let $N\geq 2$ be an integer. For each real number $s\in(0,1)$ we denote by $(-\Delta)^s$ the corresponding fractional Laplace operator. First, we investigate the eigenvalue problem $(-\Delta)^s u=\lambda V(x)u$ on $\mathbb{R}^N$, where $V:\mathbb{R}^N ...
Andrei Grecu
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