| 一类周期边值问题解的存在性及其奇异摄动 |
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| 引用本文： | 陈福松.一类周期边值问题解的存在性及其奇异摄动[J].闽江学院学报,2010,31(2):13-15. |
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| 作者姓名： | 陈福松 |
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| 作者单位： | 闽江学院数学系,福建,福州,350001 |
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| 摘 要： | 首先利用微分不等式研究如下类型的周期边值问题{y＇＇=f（t,y,y＇）,0〈t〈l y（0）=y（t）,y＇（0）=y＇（l）.的微分不等式与解的存在性，并在一定条件下把解延拓成为微分方程在无穷时间区N-Y-N期解，然后利用所得结果讨论奇异摄动现象．
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| 关 键 词： | 边值问题 微分不等式 上下解 奇异摄动 |
Solution's existence and singular perturbation for a class of periodic boundary value problem |
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| CHEN Fu-song.Solution's existence and singular perturbation for a class of periodic boundary value problem[J].Journal of Minjiang University,2010,31(2):13-15. |
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| Authors: | CHEN Fu-song |
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| Institution: | Department of Mathematics;Minjiang University;Fuzhou;Fujian 350108;China |
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| Abstract: | In this paper, we first research the theory of differential inequalities and existence of solution for this class of periodic boundary value problem as following ：{y＇＇=f（t,y,y＇）,0〈t〈l y（0）=y（t）,y＇（0）=y＇（l）.Then extend the solution to be a periodic solution of the differential equation in the indefinite interval and research the singular perturbation phenomenon. |
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| Keywords: | boundary value problem differential inequalities upper and lower solution singular perturbation |
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