Weihua Jiang, Bin Wang
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 9, 2011.
Math Subject Classifications: 34B15.
Key Words: Banach space; positive solution; strict set contraction;
boundary value problem.
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Weihua Jiang College of Sciences, Hebei University of Science and Technology Shijiazhuang, 050018, Hebei, China email: weihuajiang@hebust.edu.cn |
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Bin Wang Department of Basic Courses Hebei Professional and Technological College of Chemical and Pharmaceutical Engineering Shijiazhuang, 050026, Hebei, China email: wb@hebcpc.cn |
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