| REMARKS ON BIFURCATIONS OF u" μu-u~κ=0(4≤k∈Z~ ) |
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| 引用本文： | 李常品.REMARKS ON BIFURCATIONS OF u" μu-u~κ=0(4≤k∈Z~ )[J].应用数学学报(英文版),2001(2). |
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| 作者姓名： | 李常品 |
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| 作者单位： | Department of Mathematics，Shanghai University，Shanghai 200436，China |
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| 基金项目： | the National Natural Science Foundation of China (No.19971057) and the Youth Science Foundation of Shanghai Municipal Commission |
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| 摘 要： | 1. IntroductionOne class of reaction-diffusion equations in one-spatial dimension reads as 1,2],where p is a parameter, 1 < k E Z .Li has ever considered the static (or steady-stste) bifurcations of (4) for the simplercases with k = 2, 3 in 3]. In this paper, we focus on studying the static bifurcations of (4)for the complicated cases with 4 5 k E Z . That is, we consider the bifurcations of thefollowing equationwhere p is a parameter and 4 5 k E Z .Let X = {u E C'0,7] I u(0) ~ u(x) = …
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