Applied Mathematics and Mechanics (English Edition) ›› 1998, Vol. 19 ›› Issue (9): 889-894.

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ON THE SOLUTION OF NONLINEAR TWOPOINT BOUNDARY VALUE PROBLEM──u”+g(t.u)=f(t),u(0)=u(2π)=0

Huang Wenhua1, Cao Jusheng1, Shen Zuhe2   

  1. 1. Department of Mathematics and Physics Sciences, Wuxi University of Light industry, Wuxi 214036, P. R. China;
    2. Department of Mathematics, Naming University, Naming 210008, P. R. China
  • Received:1997-05-26 Online:1998-09-18 Published:1998-09-18

Abstract: In this paper, a non-variational version of a max-min principle is proposed, andan existence and uniqueness result is obtained for the nonlinear two-point boundaryvalue problenl u"+g(t.u)=f(t),u(0)=u(2π)=0

Key words: Hilbert space, diffeomorphism, nonlinear two-point boundaryvalue problem, unique solution

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