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Open AccessJournal ArticleDOI

A class of nonlinear eigenvalue problems

R.E.L Turner
- 01 Aug 1968 - 
- Vol. 2, Iss: 3, pp 297-322
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This article is published in Journal of Functional Analysis.The article was published on 1968-08-01 and is currently open access. It has received 55 citations till now. The article focuses on the topics: Divide-and-conquer eigenvalue algorithm & Inverse iteration.

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Citations
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BookDOI

Pareto optimality, game theory and equilibria

TL;DR: A survey of Bicooperative game theory can be found in this article, where game theory models and their applications in inventory management in supply chain are discussed. But the authors do not discuss the application of game theory in the military.
Journal ArticleDOI

A three critical points theorem revisited

TL;DR: In this paper, the following result is proved: for a reflexive real Banach space, there is a non-empty open set A ⊆ I and a positive real number r with the following property: for every λ ∈ A and every C 1 functional Ψ : X → R with compact derivative, there exists δ > 0 such that, for each μ ∈ [ 0, δ ], the equation Φ ′ ( x ) + λ J ′( x )+ μ Ψ ( x) + μ δ
Journal ArticleDOI

A minimax principle for nonlinear eigenvalue problems with applications to nonoverdamped systems

TL;DR: In this paper, the theory of Rayleigh functionals for non-linear eigenvalue problems T(λ) u = 0 is extended to cases where the functional is defined only on a proper subset.
References
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Book

Functional analysis

Frigyes Riesz
Book

Lambda-matrices and vibrating systems

TL;DR: Lambda matrices and vibrating systems is one of the literary work in this world in suitable to be reading material and this book will show the amazing benefits of reading a book.
Journal ArticleDOI

Lower Bounds for Eigenvalues of Schrödinger's Equation

TL;DR: In this paper, the authors give new results that are useful in estimation of eigenvalues of Schr\"odinger's equation and make use of them for the helium atom, an anharmonic oscillator, and a radial Schr''odinger equation.