一类二阶奇异微分方程初值问题解的唯一性  

The uniqueness of solution for a class of second order singular initial value DE problem

作　　者：王欣阵[1] 周美秀[1] 

机构地区：[1]浙江长征职业技术学院,浙江杭州310023

出　　处：《浙江师范大学学报（自然科学版）》2009年第3期287-292,共6页Journal of Zhejiang Normal University:Natural Sciences

基　　金：浙江省自然科学基金资助项目(Y605192)

摘　　要：讨论了一类二阶奇异微分方程的初值问题,运用等价的非线性变换,把奇异微分方程转换成非奇异微分方程,从而进一步得到了在一定条件下该初值问题解的唯一性结果.A class of second order singular initial value DE problem was discussed. By using the method of nonlinearly transformation, singular equation was transformed into regular equation. Furthermore, the uniqueness of solution for the initial problems was presented.

关 键 词：奇异微分方程 初值(Cauchy)问题 存在性 唯一性 

分 类 号：O175[理学—数学]