Electronic Journal of Differential Equations,
Vol. 2011 (2011), No. 22, pp. 1-11.

Title: Positive solutions for second-order multi-point boundary-value
       problems at resonance in Banach spaces

Authors: Weihua Jiang (Hebei Univ., China)
         Bin Wang (Hebei Prof. and Tech. College. China)

Abstract:
 In this article, we study the existence and  multiplicity
 of positive solutions for a nonlinear second-order
 multi-point boundary-value problem at resonance in Banach spaces.
 The arguments are based upon a specially constructed equivalent
 equation and the fixed point theory in a cone for strict set
 contraction operators.

Submitted July 14, 2010. Published February 09, 2011.
Math Subject Classifications: 34B15.
Key Words: Banach space; positive solution; strict set contraction; 
           boundary value problem.