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带有渐近条件奇异微分方程的有界解
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), 2002, 57(6): 1411-1415
作者姓名:赵进
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
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.

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
ZHAO Jin. Bounded Solutions of Singular Differential Equation with Asymptotic Conditions[J]. Journal of Jilin University: Sci Ed, 2002, 57(6): 1411-1415
Authors:ZHAO Jin
Affiliation:College of Science, Hohai University, Nanjing 210098, China;Department of Basic Science, Yangzhou Polytechnic Institute, Yangzhou 225100, Jiangsu Province, China
Abstract:
Applying Schauder fixed point theorem, the author considered a classof second order singular differential equation with asymptotic conditions, proved the existence of bounded solutions, andgeneralized the conclusion of bounded solutions of the arctic circulation model to general second|order singular differential equations.
Keywords:bounded solution   singular differential equation   asymptotic condition   Schauder fixed point theorem  
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