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A NONLINEAR KREIN RUTMAN THEOREM

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文摘 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.
来源 Journal of Systems Science and Complexity ,2009,22(4):542-554 【核心库】
DOI 10.1007/s11424-009-9186-2
关键词 Eigenvector ; increasing map ; p-Laplace operator ; positive operator ; spectral radius
地址

School of Mathematical Sciences, Peking University, Laboratory of Mathematics and Applied Mathematics of MOE, Beijing, 100871

语种 英文
文献类型 研究性论文
ISSN 1009-6124
学科 自动化技术、计算机技术
文献收藏号 CSCD:3771275

参考文献 共 19 共1页

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引证文献 3

1 Yang Yuning Geometric simplicity of spectral radius of nonnegative irreducible tensors Frontiers of Mathematics in China,2013,8(1):129-140
CSCD被引 1

2 Song Yisheng Positive eigenvalue-eigenvector of nonlinear positive mappings Frontiers of Mathematics in China,2014,9(1):181-199
CSCD被引 0 次

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