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| 奇摄动非线性边值问题 | |
| 引用本文： | 葛红霞. 奇摄动非线性边值问题[J]. 数学季刊, 2003, 18(1) |
| 作者姓名： | 葛红霞 |
| 作者单位： | Department of Mathematics，Anhui Normal University，Wuhu 241000，China |
| 基金项目： | SupportedbytheNationalNaturalScienceFoundationofChina(10 0 710 4 8) |
| 摘 要： | § 1 . Introduction AclassofintegraldifferentialequationsDirichletboundaryvalueproblemsforordinarydif ferentialequationandellipticequationarediscussedin [1]and [2 ]respectively .Andin [3]akindofnonlocalproblemsforsingularlyperturbedreactiondiffusionsystemsarestudied.Inthispaper,whatisworthpointingoutisaclassofnonlinearboundaryvalueproblemsdiscussed,applyingthemethodofcompositeexpandandthetheoryofdifferentialinequalities.εy″ =f(x ,y ,Tεy ,ε) y′ +g(x ,y ,Tεy,ε) ,0 |
Singularly Perturbed Nonlinear Boundary Value Problems |
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| GE Hong-xia. Singularly Perturbed Nonlinear Boundary Value Problems[J]. Chinese Quarterly Journal of Mathematics, 2003, 18(1) | |
| Authors: | GE Hong-xia |
| Abstract: | In this paper, a class of singularly perturbed Volterra type of integral differential equations nonlinear boundary value problems are discussed. Under the proper assumptions, using the method of composite expand and the theory of differential inequalities, the existence and any order approximation of the solution are obtained. |
| Keywords: | singular perturbation integral differential equation differential inequalities |
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