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A nonlinear Krein Rutman theorem

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Abstract

A nonlinear version of Krein Rutman Theorem is established. This paper presents a unified proof of the Krein Rutman Theorem for linear operators and for nonlinear operators, and of the Perron-Frobenius theorem for nonnegative matrices and for nonnegative tensors.

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Correspondence to K. C. Chang.

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In memory of Prof. Guan Zhao Zhi

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Chang, K.C. A nonlinear Krein Rutman theorem. J Syst Sci Complex 22, 542–554 (2009). https://doi.org/10.1007/s11424-009-9186-2

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  • DOI: https://doi.org/10.1007/s11424-009-9186-2

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