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This paper presents a new design optimization technique by artificial neural networks. Based on the theory of partial ordering and cones in Banach spaces, a new kind of neural networks with functional links is proposed. Learning algorithm lies heavily on the ordering structure of the sample space with an alternative feed-forward and backpropagation technique. Experiments are described with comparison with traditional functional link networks and wavelet networks.

partial ordering， cone， functional link， neural networks， learning algorithms

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2007年05月13日

【期刊论文】NOTE A Note on the Sturmian Theorem for Singular Boundary Value Problems

刘希玉， Liu Xiyu

Journal of Mathematical Analysis and Application 237, 393-403 (1999)，-0001，（）：

-1年11月30日

摘要

In this paper, we study properties of the eigenfunctions of singular boundary value problems. The main results show that for a class of singular boundary value problems, the Sturmian oscillation theorem holds. It is a generalization of the standard case to the singular case.

singular， boundary value problems， Sturmian theory.，

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刘希玉邀请

山东师范大学，山东

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