Applied Mathematics and Mechanics (English Edition) ›› 1987, Vol. 8 ›› Issue (6): 547-559.

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SINGULARLY PERTURBED NONLINEAR SECOND ORDER ELLIPTIC EQUATION

Jin Shan   

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai
  • Received:1986-03-27 Online:1987-06-18 Published:1987-06-18
  • Supported by:

    by the Science Fund of the Chinese Academy of Sciences.

Abstract: In this paper, we study singular perturbation problems of some semi-linear second order elliptic equations with nonlinear boundary value conditions: where ε is a small positive parameter and u/ l is a directional derivative, which lies on an oblique vector (x,ε). We have given a construction of the asymptotic solutions and proof of their asymptotic correctness, which is based on the principle of contraction mapping.

Key words: central pattern generator (CPG), gait movement, rhythmic movement, cerebral cortex signal, conversion function

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