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Start Over Author "Zhang, Huang" Search Limiters Full Text Topic asymptotic expansions Journal applied mathematics & mechanics
1 results on '"Zhang, Huang"'

1. Initial layer phenomena for a class of singular perturbed nonlinear system with slow variables.

Author

Wei-zhang, Huang and Yu-sen, Chen

Subjects
*SINGULAR perturbations, *NONLINEAR systems, *MATHEMATICAL variables, *FIXED point theory, *ASYMPTOTIC expansions
Abstract

The initial layer phenomena for a class of singular perturbed nonlinear system with slow variables are studied. By introducing stretchy variables with different quantity levels and constructing the correction term of initial layer with different “thickness”, the N-order approximate expansion of perturbed solution concerning small parameter is obtained, and the “multiple layer” phenomena of perturbed solutions are revealed. Using the fixed point theorem, the existence of perturbed solution is proved, and the uniformly valid asymptotic expansion of the solutions is given as well. [ABSTRACT FROM AUTHOR]

Published
2004
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