伴有边界摄动二阶非线性系统的奇摄动

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Singular Perturbation of Second Order Nonlinear System With Boundary Perturbation

Department of Mathematics, Fuqing Branch, Fujian Normal University, Fuqing, Fujian 350300, P. R. China

摘要: 讨论了伴有边界摄动的含积分算子的二阶非线性微分方程组边值问题的奇摄动.在适当的假设条件下,通过对角化技巧,证明了解的存在,并估计了余项.
- 奇摄动 /
- 边界摄动 /
- 对角化
Abstract: The singular perturbation of boundary value problem of second order nonlinear system of differential equations with integral operators and boundary perturbation is discussed.Under the suitable assumed conditions,by the technique of diagonalization,the existence of the solutions is proved and its remainder term is estimated.
- singular perturbation /
- boundary perturbation /
- diagonalization

[1]	莫嘉琪,许玉兴.一类奇摄动非线性反应扩散积分微分方程组[J].应用数学学报,1994,17(2):278～286.
[2]	黄蔚章,莫嘉琪.四阶半线性椭圆型积分微分方程的奇摄动[J].应用数学学报,1997,20(1):70～76.
[3]	莫嘉琪,陈育森.一类具有非局部边值条件的反应扩散方程奇摄动问题[J].数学物理学报,1997,17(1):25～30.
[4]	Huang Weizhang(黄蔚章).A class of nonlocal singularly perturbed nonlinear boundary value problems[J].Ann Diff Eqs,1997,13(2):140～145.
[5]	Howes F A,O'Malley R E.Singular perturbation of semilinear second order systems[A].In:On O D E and P D E at Dundee[C].1978,131～150.Lecture Notes in Math[M].Berlan:Springer,1980,827.
[6]	林宗池.非线性系统边值问题的奇摄动[J].福建师范大学学报(自然科学版),1989,5(4):1～8.
[7]	Chen Yusen(陈育森).Singular perturbation of two-point boundary value problems for nonlinear system[J].Ann Diff Eqs,1995,11(1):25～36.