The classical Frobenius-Perron Theorem establishes the existence of periodic points of certain linear maps in ${\mathbb R}^n$. The authors present generalizations of this theorem to nonlinear maps.

Generalizations of the Perron-Frobenius Theorem for Nonlinear Maps (Memoirs of the American Mathematical Society)

Science & Math

Nussbaum, Roger D.

Verduyn Lunel, S. M.

Mathematics

Amer Mathematical Society

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Books by Verduyn Lunel, S. M.

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Generalizations of the Perron-Frobenius Theorem for Nonlinear Maps (Memoirs of the American Mathematical Society)