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一类拟线性奇摄动问题

The quasilinear singularly perturbed problems
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摘要 研究了一类具有拟线性奇摄动问题.在适当的条件下,利用微分不等式理论,讨论了该边值问题解的存在性和渐近性态,给出了渐近估计式:u0(x)-Ui0(xε)-u0(0)+O(ε)≤u(x,ε)≤u0(x)+O(ε),0≤x≤1. The quasilinear singularly perturbed problems are dealt with. Under suitable conditions,and by using the theory of differential inequalities, the existence and asymptotic behavior of solution for the boundary value problems are studied. We obtain the following result:u0(x)-()-u0(0)+O(ε)≤u(x,ε)≤u0(x)+O(ε),0≤x≤1
作者 韩祥临
出处 《安徽工程科技学院学报(自然科学版)》 CAS 2002年第3期14-17,共4页 Journal of Anhui University of Technology and Science
关键词 拟线性 奇摄动问题 解的存在性 边值问题解 渐近估计式 微分不等式理论 渐近性态 利用 quasilinear boundary value problem singular perturbation asymptotic behavior.
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参考文献7

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