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Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (4): 394-403.

• 论文 • 上一篇    下一篇

ASYMPTOTIC SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR THIRD-ORDER ORDINARY DIFFERENTIAL EQUATIONS WITH TURNING POINTS

江福汝1, 金其年2   

  1. 1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P R China;
    2. Department of Mathematics, Nanjing University, Nanjing 210000, P R China
  • 收稿日期:1999-06-16 修回日期:2000-11-19 出版日期:2001-04-18 发布日期:2001-04-18

ASYMPTOTIC SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR THIRD-ORDER ORDINARY DIFFERENTIAL EQUATIONS WITH TURNING POINTS

JIANG Fu-ru1, JIN Qi-nian2   

  1. 1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P R China;
    2. Department of Mathematics, Nanjing University, Nanjing 210000, P R China
  • Received:1999-06-16 Revised:2000-11-19 Online:2001-04-18 Published:2001-04-18

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摘要： Boundary value problems for third-order ordinary differential equations with turning points are studied as follows:

where f(x; 0)has several multiple zero points in(-a, b). The necessary conditions for exhibiting resonance is given, and the uniformly valid asymptotic solutions and the estimations of remainder terms are obtained.

Abstract: Boundary value problems for third-order ordinary differential equations with turning points are studied as follows:

where f(x; 0)has several multiple zero points in(-a, b). The necessary conditions for exhibiting resonance is given, and the uniformly valid asymptotic solutions and the estimations of remainder terms are obtained.

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