Positive Solutions for (k, n − k) Conjugate Multipoint Boundary Value Problems in Banach Spaces

Positive Solutions for (k, n − k) Conjugate Multipoint Boundary Value Problems in Banach Spaces

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...

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Bibliographic Details
Main Author: Yulin Zhao
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2012/727468

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