| Singularly Perturbed Generalized Boundary Value Problems for Semilinear Elliptic Equation of Fourth Order |
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| 引用本文： | 莫嘉琪,王辉,朱江.Singularly Perturbed Generalized Boundary Value Problems for Semilinear Elliptic Equation of Fourth Order[J].东北数学,2002,18(2):111-116. |
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| 作者姓名： | 莫嘉琪 王辉 朱江 |
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| 作者单位： | MO Jiaqi (Department of Mathematics，Huzhou Teachers College，Huzhou，Zhejiang，313000)WANG Hui (National Natural Science Foundation of China，Beijing，100085)ZHU Jiang (ICCES，Institute of Atmospheric Physics，Chinese Academy of Sciences，Beijing，100029 |
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| 基金项目： | The Hundred People Project of Chinese Academy of Sciences. |
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| 摘 要： | The singularly perturbed generalized boundary value problems for semi-linear elliptic equations of fourth order are considered. Under suitable conditions the existence, uniqueness and asymptotic behavior of generalized solutions for the boundary value problems are studied.
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| 关 键 词： | 微分方程 椭圆方程式 数理方程 奇摄动 |
Singularly Perturbed Generalized BoundaryValue Problems for Semilinear EllipticEquation of Fourth Order |
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| MO Jiaqi.Singularly Perturbed Generalized BoundaryValue Problems for Semilinear EllipticEquation of Fourth Order[J].Northeastern Mathematical Journal,2002,18(2):111-116. |
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| Authors: | MO Jiaqi |
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| Institution: | [1]DepartmentofMathematics,HuzhouTeachersCollege,Huzhou,Zhejiang,313000 [2]NationalNaturalScienceFoundationofChina,Beijing,100085 [3]ICCES,InstituteofAtmosphericPhysics,ChineseAcademyofSciences,Beijing,100029 |
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| Abstract: | The singularly perturbed generalized boundary value problems for semi-linear elliptic equations of fourth order are considered. Under suitable conditionsthe existence, uniqueness and asymptotic behavior of generalized solutions for theboundary value problems are studied. |
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| Keywords: | elliptic equation singular perturbation generalized solution |
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