A dynamical systems proof of the Krein–Rutman Theorem and an extension of the Perron Theorem

DOI10.1017/S0308210500024689zbMath0727.58043MaRDI QIDQ3349648

Nicholas D. Alikakos, Giorgio Fusco

Publication date: 1991

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

discrete dynamical systemsKrein-Rutman theoremPerron's theorem

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Dynamical systems and ergodic theory (37-XX)

Related Items (6)

Exponential separation and invariant bundles for maps in ordered Banach spaces with applications to parabolic equations ⋮ Convergence in the part metric for discrete dynamical systems in ordered topological cones ⋮ A Perron theorem for the existence of invariant subspaces ⋮ A dynamical approach to the Perron-Frobenius theory and generalized Krein-Rutman type theorems ⋮ A power method for nonlinear operators ⋮ On the spectral theory of positive operators and PDE applications

Cites Work

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