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非自治方程奇摄动问题解的渐近性分析

A symptotic analysis of solution for singular perturbation problems of nonlinear nonautonomous equation
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摘要 利用稳定性理论,分析了非线性非自治奇摄动方程εy″=y-ty′-(y′)4,t∈(-1,1)Robin问题边界值对解的渐近性态的影响,得出了边界层存在的位置与渐近解存在的条件. The effects of boundary value for singular perturbation Robin problems of nonlinear nonautonomous equation εy″=y-ty′-(y′)~4,t∈(-1,1) on the symptotic state of solution are studied by using the steady theory,and the location of boundary layer and the condition of the symptotic solution existing are obtained.
作者 韩祥临
出处 《烟台师范学院学报(自然科学版)》 2003年第4期249-252,共4页 Yantai Teachers University journal(Natural Science Edition)
基金 浙江省自然科学基金资助项目(编号:102009)
关键词 非线性方程 奇摄动 边界值 nonlinear equation singular perturbation boundary value
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参考文献5

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