Results and Estimates on Multiple Solutions of Lidstone Boundary Value Problems

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作者
Patricia J. Y. Wong
R. P. Agarwal
机构
[1] Nanyang Technological University,Division of Mathematics
[2] National University of Singapore,Department of Mathematics
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关键词
Lower Bound; Multiple Solution; Lidstone Boundary;
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摘要
We consider the following boundary value problem (-1)ny(2n)=F(t,y), n≥ 1, t ∈ (0,1), y(2i)(0)=y(2i)(1)=0, 0≧i≧n-1. Criteria are developed for the existence of two and three positive solutions of the boundary value problem. In addition, for special cases we establish upper and lower bounds for these positive solutions. Several examples are also included to dwell upon the importance of the results obtained.
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页码:137 / 168
页数:31
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