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THE SINGULARLY PERTURBED BOUNDARY VALUE PROBLEM OF NONLINEAR INTEGRO-DIFFERENTIAL SYSTEM 被引量:11

THE SINGULARLY PERTURBED BOUNDARY VALUE PROBLEM OF NONLINEAR INTEGRO-DIFFERENTIAL SYSTEM
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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. 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.
作者 唐荣荣
出处 《Annals of Differential Equations》 2004年第4期407-412,共6页 微分方程年刊(英文版)
基金 SupportedbytheNaturalScienceFoundationsofZhejiang(No.102009)ZhejiangEducationOffice(No.20030594)HuzhouTeachersCollege(No.200302).
关键词 NONLINEAR integro-differential system singular perturbation boundary value problem differential inequality nonlinear, integro-differential system, singular perturbation, boundary value problem, differential inequality
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