Applied Mathematics and Mechanics (English Edition) ›› 1980, Vol. 1 ›› Issue (2): 211-223.

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On the Boundary Value Problems for a Class of Ordinary Differential Equations with Turning Points

Jiang Fu-ru   

  1. Fudan University, Shanghai
  • Received:1979-12-28 Online:1980-05-18 Published:1980-05-18

Abstract: In this paper we study the boundary value problems for a class of ordinary differential equations with turning points by the method of multiple scales. The paradox in [1] and the variational approach in [2] are avoided. The uniformly valid asymptotic approximations of solutions have been constructed. We also study the case which does not exhibit resonance.

Key words: probability exponential inequality, unbounded random variables, convergence

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