Monotone and convex positive solutions for fourth-order multi-point boundary value problems

被引:0
作者
Yang Liu
Zhang Weiguo
Shen Chunfang
机构
[1] University of Shanghai for Science and Technology,College of Science
[2] Hefei Normal University,Department of Mathematics
来源
Boundary Value Problems | / 2011卷
关键词
multi-point boundary value problem; positive solution; cone; fixed point;
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学科分类号
摘要
The existence results of multiple monotone and convex positive solutions for some fourth-order multi-point boundary value problems are established. The nonlinearities in the problems studied depend on all order derivatives. The analysis relies on a fixed point theorem in a cone. The explicit expressions and properties of associated Green's functions are also given.
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