| 带有渐近条件奇异微分方程的有界解 |
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| 引用本文： | 赵进.带有渐近条件奇异微分方程的有界解[J].吉林大学学报(理学版),2019,57(6):1411-1415. |
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| 作者姓名： | 赵进 |
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| 作者单位： | 河海大学理学院,南京210098;扬州工业职业技术学院基础科学部,江苏扬州225100 |
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| 摘 要： | 应用Schauder不动点定理考虑一类带有渐近条件的二阶奇异微分方程, 证明其有界解的存在性, 从而将北极环流模型有界解的结论推广到一般的二阶奇异微分方程中.
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| 关 键 词： | 有界解 奇异微分方程 渐近条件 Schauder不动点定理 |
| 收稿时间： | 2019-01-07 |
Bounded Solutions of Singular Differential Equation with Asymptotic Conditions |
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| ZHAO Jin.Bounded Solutions of Singular Differential Equation with Asymptotic Conditions[J].Journal of Jilin University: Sci Ed,2019,57(6):1411-1415. |
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| Authors: | ZHAO Jin |
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| Institution: | College of Science, Hohai University, Nanjing 210098, China；Department of Basic Science, Yangzhou Polytechnic Institute, Yangzhou 225100, Jiangsu Province, China
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| Abstract: | Applying Schauder fixed point theorem, the author considered a class of second order singular differential equation with asymptotic conditions, proved the existence of bounded solutions, and generalized the conclusion of bounded solutions of the arctic circulation model to general second\|order singular differential equations. |
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| Keywords: | bounded solution singular differential equation asymptotic condition Schauder fixed point theorem |
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