Applied Mathematics and Mechanics (English Edition) ›› 1981, Vol. 2 ›› Issue (1): 25-50.

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On the Dirichlet Problem for Quasi-linear Elliptic Equation with a Small Parameter

Jiang Fu-ru   

  1. Fudan University, Shanghai
  • Received:1980-02-20 Online:1981-01-18 Published:1981-01-18

Abstract: In this paper we deal with the Dirichlet problem for quasilinear elliptic equation with a small parameter at highest derivatives. In case the characteristics of the degenerated equation are curvilinear and the domain, where the problem is defined, is a bounded convex domain, we offer a method to construct the uniformly valid asymptotic solution of this problem, and prove that the solution of this problem really exists, and being uniquely determined as the small parameter is sufficiently small.

Key words: neural networks, global attractivity, global exponential stability

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