A class of singularly perturbed hyperbolic nonlinear integral-differential system

FENG Yi-hu; MO Jia-qi

doi:10.3969/j.issn.1000-5641.2017.03.004

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May 2017

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FENG Yi-hu, MO Jia-qi. A class of singularly perturbed hyperbolic nonlinear integral-differential system[J]. Journal of East China Normal University (Natural Sciences), 2017, (3): 39-47. doi: 10.3969/j.issn.1000-5641.2017.03.004

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FENG Yi-hu, MO Jia-qi. A class of singularly perturbed hyperbolic nonlinear integral-differential system[J]. Journal of East China Normal University (Natural Sciences), 2017, (3): 39-47. doi: 10.3969/j.issn.1000-5641.2017.03.004

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A class of singularly perturbed hyperbolic nonlinear integral-differential system

doi: 10.3969/j.issn.1000-5641.2017.03.004

FENG Yi-hu^1
,,
MO Jia-qi²

1.
Department of Electronics and Information Engineering, Bozhou College, Bozhou Anhui 236800, China
2.
Department of Mathematics, Anhui Normal University, Wuhu Anhui 241003, China

Received Date: 2016-03-17
Publish Date: 2017-05-25

Abstract

Abstract

A class of singularly perturbed system for the hyperbolic nonlinear integral-differential system is considered. Firstly, the outer solution to system is obtained by employing the Fredholm type integral equation. Then the boundary layer corrective term is constructed using the variables of multiple scales method. And the initial layer corrective term is found via the stretched variable method. Finally, from the fixed point theory, the uniformly valid behavior for the composed asymptotic expansion of singular perturbation solution is proved.
- integral-differential equation,
- singular perturbation,
- hyperbolic type equation

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References(17)

References

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