Some higher-order multi-point boundary value problem at resonance

  • Authors:

  • Zengji Du;Xiaojie Lin;Weigao Ge

  • Affiliations:

  • Department of Mathematics, Beijing Institute of Technology Beijing 100081, People's Republic of China;Department of Mathematics, Xuzhou Normal University, Xuzhou, 221116, People's Republic of China;Department of Mathematics, Beijing Institute of Technology Beijing 100081, People's Republic of China

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

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Abstract

This paper deals with the existence of solutions for the following nth order multi-point boundary value problem at resonancex^(^n^)(t)=f(t,x(t),x^'(t),...,x^(^n^-^1^)(t))+e(t),t@?(0,1),x(0)=@?i=1m-2@a"ix(@x"i),x^'(0)=...=x^(^n^-^2^)(0)=0,x(1)=x(@h),where f:[0,1]xR^n@?R is a continuous function, e@?L^1[0,1], @a"i@?R(1=