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...
| Main Author: | |
|---|---|
| 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 |