Existence of solutions for a third order differential equation with integral boundary conditions

  • Authors:

  • Youyu Wang;Weigao Ge

  • Affiliations:

  • Department of Mathematics, Tianjin University of Finance and Economics, Tianjin 300222, PR China;Department of Mathematics, Beijing Institute of Technology, Beijing 100081, PR China

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2007

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Abstract

In this paper, we consider the following third order differential equation (@f(u^''))^'+f(t,u(t),u^'(t),u^''(t))=0,0R and h"i:R-R are continuous and k"1,k"2=0, @f(u) is a continuous and strictly increasing function with @f(0)=0,@f(R)=R, where R=(-~,+~). The existence result to the above boundary value problem is obtained by applying the method of upper and lower solutions and Leray-Schauder degree theory.