文章基本信息

标题：Positive Solutions for (k, n − k) Conjugate Multipoint Boundary Value Problems in Banach Spaces
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作者：Yulin Zhao
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2012
卷号：2012
DOI：10.1155/2012/727468
出版社：Hindawi Publishing Corporation
摘要：By means of the fixed point index theory of strict-set contraction operator, we study the existence of positive solutions for the multipoint singular boundary value problem (-1)n-kun(t)=f(t,ut), 0<t<1, n≥2, 1≤k≤n-1, u(0)=∑i=1m-2‍aiu(ξi), u(i)(0)=u(j)(1)=θ, 1≤i≤k−1, 0≤j≤n−k−1 in a real Banach space E, where θ is the zero element of E, 0 < ξ1 < ξ2<⋯<ξm-2<1,ai∈[0,