Asymptotic solution for a class of impulsive differential equations

WU Li-meng; NI Ming-kang; LU Hai-bo; ZHENG Yan

Issue 5

Nov. 2011

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WU Li-meng, NI Ming-kang, LU Hai-bo, ZHENG Yan. Asymptotic solution for a class of impulsive differential equations[J]. Journal of East China Normal University (Natural Sciences), 2011, (5): 60-65.

Citation:

WU Li-meng, NI Ming-kang, LU Hai-bo, ZHENG Yan. Asymptotic solution for a class of impulsive differential equations[J]. Journal of East China Normal University (Natural Sciences), 2011, (5): 60-65.

WU Li-meng, NI Ming-kang, LU Hai-bo, ZHENG Yan. Asymptotic solution for a class of impulsive differential equations[J]. Journal of East China Normal University (Natural Sciences), 2011, (5): 60-65.

Citation:

WU Li-meng, NI Ming-kang, LU Hai-bo, ZHENG Yan. Asymptotic solution for a class of impulsive differential equations[J]. Journal of East China Normal University (Natural Sciences), 2011, (5): 60-65.

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Asymptotic solution for a class of impulsive differential equations

1.
Department of Mathematics, East China Normal University, Shanghai 200241, China;
2.
Division of Computational Science, E-Institute of Shanghai Universities, SJTU, Shanghai 200240, China

Received Date: 2011-02-01
Rev Recd Date: 2011-05-01
Publish Date: 2011-09-25

Abstract

Abstract

By means of singular perturbation theory, We constructed the singularly perturbed problem for the impulsive differential equation problem, and proved that the solution of the derived problem approximated to the solution of original problem, indicating a new way for the study of impulsive differential equations. By virtue of boundary function method, we not only constructed continuous formal asymptotic solution but also proved the existence of solution, meanwhile the remainder estimate was presented. Finally, an example was given to illustrate the results.
- singular perturbation,
- asymptotic solution,
- impulsive differential equation

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References(1)

References

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