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Nonlinear Eigenvalue Problems on Infinite Intervals
SIAM Journal on Mathematical Analysis, 1983This paper considers the nonlinear eigenvalue problems of boundary value problems for ordinary differential equations of the form (1) \(y'=t^{\alpha}A(t,\lambda)y\), \(1\leq t-1\), (2) \(B(\lambda)y(1)=0\), \((3)\quad y\in C([1,\infty]):\Leftrightarrow y\in C([1,\infty])\) and \(\lim_{t\to \infty}y(t)\) exists where y is an n- vector and A(t,\(\lambda)\
Markowich, Peter A., Weiss, Richard
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Nonlinear Elliptic Eigenvalue Problems
1992As a further application of the direct methods of the calculus of variations let us discuss a special class of nonlinear eigenvalue problems. As far as the technical framework is concerned, we proceed here as in our treatment of nonlinear boundary value problems in Chap.
Philippe Blanchard, Erwin Brüning
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On nonlinear eigenvalue problems
Forum Mathematicum, 1992Summary: The aim of this paper is to establish the existence of an infinite sequence of eigenvalues and eigenfunctions \((\mu_ m,u_ m)\) for the problem \(A(u)+C(u)=\mu B(u)\), where \(A\), \(B\) and \(C\) are mappings from a real infinite dimensional Banach space \(X\) into its dual \(X^*\) and \(\mu\) is a real parameter. This is proved using minimax
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Sturm Sequences for Nonlinear Eigenvalue Problems
SIAM Journal on Mathematical Analysis, 1989The author wants to treat Sturm-Liouville eigenvalue problems, where the coefficients depend nonlinearly on a parameter. For this purpose the classical theorems on Sturm sequences are reconsidered from a more axiomatic point of view. This covers these nonlinear eigenvalue problems, and also their finite-element approximation, which result in ...
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Algorithms for the Nonlinear Eigenvalue Problem
SIAM Journal on Numerical Analysis, 1973The following nonlinear eigenvalue problem is studied : Let $T(\lambda )$ be an $n \times n$ matrix, whose elements are analytical functions of the complex number $\lambda $. We seek $\lambda $ and vectors x and y, such that $T(\lambda )x = 0$, and $y^H T(\lambda ) = 0$.Several algorithms for the numerical solution of this problem are studied.
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STRONGLY NONLINEAR EIGENVALUE PROBLEMS
The Quarterly Journal of Mathematics, 1976openaire +2 more sources
A Riesz-projection-based method for nonlinear eigenvalue problems
Journal of Computational Physics, 2020Felix Binkowski +2 more
exaly