Existence results for n-point boundary value problem of second order ordinary differential equations

  • Authors:

  • Shihua Chen;Jia Hu;Li Chen;Changping Wang

  • Affiliations:

  • College of Mathematics and Statistics, Wuhan University, Wuhan 430072, PR China;College of Mathematics and Statistics, Wuhan University, Wuhan 430072, PR China;The State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, PR China;Department of Mathematics and Statistics, Dalhousie University, Halifax NS, Canada B3H 3J5

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2005

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Abstract

This study concerns the existence of positive solutions to the boundary value problemu^''+a(t)f(u)=0,t@?(0,1),u^'(0)=@?i=1n-2b"iu^'(@x"i),u(1)=@?i=1n-2a"iu(@x"i),where @x"i@?(0,1) with 0