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Exact solution of a nonlinear eigenvalue problem
Physical Review A, 1986We show that Shastry's exact solution of a nonlinear eigenvalue problem in one dimension can be recovered by a method which is familiar in the theory of nonlinear ordinary differential equations.
, Romeiras, , Rowlands
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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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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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On a non-linear eigenvalue problem
USSR Computational Mathematics and Mathematical Physics, 1984zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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1998
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1998. ; Includes bibliographical references (p. 211-217). ; by Ross Adams Lippert. ; Ph.D.
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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1998. ; Includes bibliographical references (p. 211-217). ; by Ross Adams Lippert. ; Ph.D.
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STRONGLY NONLINEAR EIGENVALUE PROBLEMS
The Quarterly Journal of Mathematics, 1976openaire +2 more sources

