JIANG Fu-ru, JIN Qi-nian. Asymptotic Solutions of Boundary Value Problems for Third Order Ordinary Differential Equations With Turning Points[J]. Applied Mathematics and Mechanics, 2001, 22(4): 345-353.
Citation: JIANG Fu-ru, JIN Qi-nian. Asymptotic Solutions of Boundary Value Problems for Third Order Ordinary Differential Equations With Turning Points[J]. Applied Mathematics and Mechanics, 2001, 22(4): 345-353.

Asymptotic Solutions of Boundary Value Problems for Third Order Ordinary Differential Equations With Turning Points

  • Received Date: 1999-06-16
  • Rev Recd Date: 2000-11-19
  • Publish Date: 2001-04-15
  • 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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  • [1]
    Ackerberg R C, O'Malley R E, Jr. Boundary layer problems exhibiting resonance[J]. Stud Appl Math,1970,49:277-295.
    [2]
    Matkowsky B J. On boundary layer problems exhibiting resonance[J]. SIAM Rev,1975,17:82-100.
    [3]
    JIANG Fu-ru. Asymptotic solutions of boundary value problems for semilinear ordinary differential equations with turning points[J]. Computational Fluid Dynamics J,1994,2(4):471-484.
    [4]
    江福汝. 关于常微分方程转点问题共振的必要条件[J]. 应用数学和力学,1989,10(4):277-284.
    [5]
    赵为礼. 三阶非线性微分方程边值问题解的存在性[J]. 吉林大学自然科学学报,1984,(2):10-19.
    [6]
    Nagumo M. Über die Differentialgleichung y″=f(x,y,y′)[J]. Proc Phys Math Soc Japan,Ser 3,1973,19(10):861-866.
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