Solvability of (k,n-k) Conjugate Boundary Value Problems with Integral Boundary Conditions at Resonance

We investigate a (k,n-k) conjugate boundary value problem with integral boundary conditions. By using Mawhin continuation theorem, we study the solvability of this boundary value problem at resonance. It is shown that the boundary value problem (-1)n-kφ(n)(x)=fx,φx,φ′x,…,φ(n-1)(x), x∈[0,1], φ(i)(0)=...

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Bibliographic Details
Main Authors: Qiao Sun, Yujun Cui
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2016/3454879