Jiang Fu-ru. On the Boundary Value Problems for Ordinary Differential Equations with Turning Points[J]. Applied Mathematics and Mechanics, 1991, 12(2): 108-117.
Citation: Jiang Fu-ru. On the Boundary Value Problems for Ordinary Differential Equations with Turning Points[J]. Applied Mathematics and Mechanics, 1991, 12(2): 108-117.

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

  • Received Date: 1990-02-24
  • Publish Date: 1991-02-15
  • In this paper, we consider the boundary value problems of the form ey"-f(x,e)y'+g(x,e)y=0(-a≤x≤b,0<ε≤1)y(-a)=a,y(b)=β where f(x,0) has several and multiple zeros on the interval [-a,b]. The conditions for exhibiting boundary and interior layers are given, and the corresponding asymptotic expansions of solutions are constructed.
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