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

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