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Spectral analysis of singular ordinary differential operators with indefinite weights [PDF]

Journal of Differential Equations, 2010
In this paper we develop a perturbation approach to investigate spectral problems for singular ordinary differential operators with indefinite weight functions.
Jussi Behrndt, Friedrich Philipp
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Nonhomogeneous eigenvalue problem with indefinite weight

Complex Variables and Elliptic Equations, 2017
This paper, following the theory of partial differential equations on the Orlicz–Sobolev spaces, is mainly concerned with the nonhomogeneous eigenvalue problem involving variable growth conditions ...
Bin Ge, Chang Geng
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Second cumulant statistical control with indefinite control weight

2008 47th IEEE Conference on Decision and Control, 2008
In linear-quadratic-Gaussian control, the positive definiteness of the control weighting matrix in the cost function has been assumed, however, it has been shown that solutions do exist for indefinite control weight matrices for the linear-quadratic-Gaussian case.
Chang-Hee Won, Ronald W. Diersing, Hyo-Sung Ahn   +2 more
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On a Class of Schrödinger-Type Equations with Indefinite Weight Functions

Communications in Partial Differential Equations, 2008
In this paper we investigate the solvability of the Schrodinger equation (1.1) with indefinite weight functions and a subcritical Sobolev nonlinearity. We examine the common effect of the properties of the Nehari manifold and the fibrering maps on the existence of solutions of problem (1.1).
Chabrowski, J. H., Costa, D. G.
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Weighted Matchings for Preconditioning Symmetric Indefinite Linear Systems

SIAM Journal on Scientific Computing, 2006
Maximum weight matchings have become an important tool for solving highly indefinite unsymmetric linear systems, especially in direct solvers. In this study we investigate the benefit of reorderings and scalings based on symmetrized maximum weight matchings as a preprocessing step for incomplete $\mathrm{LDL^T}$ factorizations.
Michael Hagemann, Olaf Schenk
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Eigenvalues of the p(x)-biharmonic operator with indefinite weight

Zeitschrift für angewandte Mathematik und Physik, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ge, Bin, Zhou, Qing-Mei, Wu, Yu-Hu
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A Novel Indefinite Kernel Dimensionality Reduction Algorithm: Weighted Generalized Indefinite Kernel Discriminant Analysis

Neural Processing Letters, 2013
Kernel methods are becoming increasingly popular for many real-world learning problems. And these methods for data analysis are frequently considered to be restricted to positive definite kernels. In practice, however, indefinite kernels arise and demand application in pattern analysis.
Jing Yang, Liya Fan
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Resonant nonlinear Neumann problems with indefinite weight

ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2012
We consider nonlinear Neumann problems driven by the p-Laplacian plus an indefinite potential. First we develop the spectral properties of such differential operators. Subsequently, using these spectral properties and variational methods based on critical point theory, truncation techniques and Morse theory, we prove existence and multiplicity theorems
MUGNAI, Dimitri, N. S. Papageorgiou
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Existence of solutions for an elliptic equation with indefinite weight

Nonlinear Analysis: Theory, Methods & Applications, 2007
The authors deal with the existence of solutions of the following elliptic equation: \[ -\Delta_x u= V(x)u+ f(x,u),\quad u\in H^1(\mathbb{R}^N),\tag{1} \] where \(V(x)\) is a function with possibly changing sign, \(f\) is a continuous function on \(\mathbb{R}^N\times \mathbb{R}\).
Jing, Zeng, Li, Yongqing
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A weighting method for 0–1 indefinite quadratic bilevel programming

Operational Research, 2010
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S. R. Arora, Ritu Arora
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