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常微分方程组的广函解
Generalized-function Solutions of System of Ordinary Differential Equations
【摘要】 本文考虑一般形式的常微分方程组,给出了 m 阶广函解存在的充分必要条件,证明了确定广函解的阶数的有用的公式,并举例说明了有关存在性的某些有趣的性质.
【Abstract】 In this paper the system of ordinary differential equations with a generaltorm is considered,Sufficient and necessary conditions are given for the cxistence ofgeneralized-function solutions of order m,and useful formulae are proved to determineorder numbers of generalized-function solutions,and,moreover,some interesting-properties on the existence are illustrated with examples.
【关键词】 常微分方程;
广义函数解;
存在性;
【Key words】 ordinary differential equations; generalized function solution; existence;
【Key words】 ordinary differential equations; generalized function solution; existence;
【基金】 国家自然科学基金;甘肃省自然科学基金
- 【文献出处】 兰州大学学报 ,Journal of Lanzhou University , 编辑部邮箱 ,1993年04期
- 【分类号】O175.1
- 【下载频次】13