Electron. J. Diff. Eqns., Vol. 2008(2008), No. 70, pp. 1-11.

Positive solutions for a high-order multi-point boundary-value problem in Banach spaces

Weihua Jiang

Abstract:
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.
Math Subject Classifications:
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
email: weihuajiang@hebust.edu.cn

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