Solvability of functional differential equations with multi-point boundary value problems at resonance

  • Authors:

  • Zengji Du

  • Affiliations:

  • School of Mathematical Sciences, Xuzhou Normal University, Xuzhou, Jiangsu, 221116, PR China

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2008

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Abstract

In this paper, we discuss the following third order functional differential equations x^@?(t)=f(t,x(t),(Fx)(t),x^'(t),(Gx^')(t),x^''(t),(Hx^'')(t)),t@?[0,1], subject to the boundary conditions x(0)=0,x^''(0)=0,x^'(1)=@?i=1m-2@a"ix^'(@h"i), where f:[0,1]xR^6@?R, F,G,H are three operators, @a"i(i=1,...,m-2)=0, 0