Using the fixed point theory of strict set contractions, we study the existence of at least one, two, and multiple positive solutions for higher order multiple point boundary-value problems in Banach spaces. Our result extends some of the existing results.
Submitted March 30, 2008. Published May 13, 2008.
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Key Words: Banach space; positive solution; strict set contraction; boundary-value problem.
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| Weihua Jiang |
College of Mathematics and Science of Information
Hebei Normal University, Shijiazhuang, 050016, Hebei, China
College of Sciences, Hebei University of Science and Technology
Shijiazhuang, 050018, Hebei, China
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