Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
843456 | Nonlinear Analysis: Theory, Methods & Applications | 2009 | 16 Pages |
Abstract
Three theorems are obtained for the existence of at least one or three fixed points for a completely continuous mapping, which extend the Krasnoselskii’s compression–expansion theorem in cones. Based on them two theorems for the existence of positive solutions of two-point boundary-value problems are proved under a quite relaxed condition compared with the existing literature.
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Authors
Weigao Ge, Chunyan Xue,