Eigenvalues for a class of homogeneous cone maps arising from max-plus operators

By John Mallet-Paret, Roger D. Nussbaum. 2002

100 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/dbe8e303ceb93d2b8ad088fad6a139190a95cf6c

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In Computational Theory and Mathematics

1. Roger D. Nussbaum
2. John Mallet-Paret

In Control and Systems Engineering

1. John Mallet-Paret
2. Roger D. Nussbaum

In Geometry and Topology

1. John Mallet-Paret
2. Roger D. Nussbaum

Citations in the corpus

• Generalizing the Krein–Rutman theorem, measures of noncompactness and the fixed point index (2010, methodology): “We also recall some theorems concerning measures of noncompactness, including recently discovered results (see [20] and [21]) concerning existence of inequivalent measures of noncompactness; and we describe some nonlinear Krein-Rutman theorems for noncompact operators from [18] and [29].”
• Boundary layer phenomena for differential-delay equations with state-dependent time lags: III (2003, background): “for any so-called admissible sequence ðx0; x1; x2;y; xnÞ; namely a sequence satisfying x0A1⁄20; m and xiAJðxi 1Þ for every 1pipn: (Heuristically one might think of such sequences dynamically as orbits obtained by iterating the set-valued map J:) As noted in [36], for every x0A1⁄20; m and nX1 there e”