Chinese Quarterly Journal of Mathematics ›› 2011, Vol. 26 ›› Issue (2): 265-269.

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Existence of Solutions for Generalized Sturm-Liouville m-point Boundary Value Problems in Banach Spaces

  

  1. 1. Department of Sciences, Bozhou Teacher's College2. School of Sciences, Shandong Jianzhu University

  • Received:2008-03-10 Online:2011-06-30 Published:2023-05-05
  • About author:YANG Jing-bao(1968-), male, native of Mengcheng, Anhui, an associate professor of Bozhou Teacher’s College, M.S.D, engages in boundary value problems of differential equation.
  • Supported by:
    Supported by the Research Project of Bozhou Teacher’s College(BSKY0805); Supported
    by the Natural Science Research Project of Anhui Province(KJ2009B093)

Abstract: By applying the fixed-point theorem of strict-set-contraction, this paper establishes the existence of one solution or one positive solution to the generalized Sturm-Liouville m-point boundary value problem in Banach spaces.

Key words: Banach spaces, fixed-point theorem of strict-set-contraction;  Sturm-Liouville, m-pointt boundary value problem, positive solution

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