FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1998, VOLUME 4, NUMBER 3, PAGES 799-851

A. B. Vasil'eva

V. F. Butuzov

N. N. Nefedov

Abstract

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```
Some new results in singular perturbation theory --- namely the basic
positions of contrast structures theory --- are presented. The algorithm
of asymptotic expansion, the existence and stability theorems for
different contrast structures in ordinary nonlinear differential
equations and also in partial differential equations are formulated.
The new asymptotic differential inequalities method for proving of these
theorems is proposed.
```

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Last modified: December 15, 1998