A. Thomson's principle and a Rayleigh's monotonicity law on nonlinear networks

A. Thomson's principle and a Rayleigh's monotonicity law on nonlinear networks
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A. 非线性网络上的汤姆逊原理和瑞利单调性定律

DOI:
10.1007/s11118-016-9562-1
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发表时间:
2016
期刊:
影响因子:
1.1
通讯作者:
A. Kasue
A. Kasue
中科院分区:
数学3区
文献类型:
--
作者:
早川貴敬;岡本竜治;山本宏昭;立原研悟;福井康雄;栗田光樹夫;生駒典久;A. Kasue

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在本文中,我们开发了一个潜在的非线性网络理论的框架内的模块序列空间,介绍了德米歇尔和Soardi。讨论了网络流的汤姆逊原理、网络的抛物性或非抛物性、网络的罗伊登紧化和网络态射的瑞利单调律。
In this paper, we develop a potential theory of nonlinear networks in the framework of modular sequence spaces, introduced by De Michele and Soardi. A Thomson’s principle on flows, the parabolicity or nonparabolicity of a network, Royden’s compactification of a network, and a Rayleigh’s monotonicity law on network morphisms are discussed.