| THE SINGULARLY PERTURBED BOUNDARY VALUE PROBLEM OF NONLINEAR INTEGRO-DIFFERENTIAL SYSTEM |
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| 作者姓名： | 唐荣荣 |
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| 作者单位： | Dept. of |
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| 基金项目： | SupportedbytheNaturalScienceFoundationsofZhejiang(No.102009)
ZhejiangEducationOffice(No.20030594)
HuzhouTeachersCollege(No.200302). |
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| 摘 要： | In this paper, using the differential inequality and singularly perturbed theory, the singularly perturbed boundary value problems for nonlinear integro-differential system has been studied. Under some appropriate assumptions, the existence of solution has been proved and the uniform validness of the asymptotic expansions for arbitrary nth-order have been obtained simply and conveniently.
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| 关 键 词： | 非线性 积分-微分系统 奇异摄动 边值 不等微分 |
THE SINGULARLY PERTURBED BOUNDARY VALUE PROBLEM OF NONLINEAR INTEGRO-DIFFERENTIAL SYSTEM |
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| Tang Rongrong.THE SINGULARLY PERTURBED BOUNDARY VALUE PROBLEM OF NONLINEAR INTEGRO-DIFFERENTIAL SYSTEM[J].微分方程年刊(英文版),2004,20(4):407-412. |
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| Authors: | Tang Rongrong |
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| Institution: | Dept.ofMath.,HuzhouTeachersCollege,Huzhou313000 |
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| Abstract: | In this paper, using the differential inequality and singularly perturbed theory, the singularly perturbed boundary value problems for nonlinear integro-differential system has been studied. Under some appropriate assumptions, the existence of solution has been proved and the uniform validness of the asymptotic expansions for arbitrary nth-order have been obtained simply and conveniently. |
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| Keywords: | nonlinear integro-differential system singular perturbation boundary value problem differential inequality |
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