摘要
利用奇点理论方法讨论了加权观点下的分歧问题,提出了带有非孤立分歧点的分歧问题的Σ-C^(0)-BD等价关系,给出了分歧问题在Σ-C^(0)-BD等价下分歧问题的Σ-C^(0)-BD有限决定的一个解析几何的非退化判别条件,推广了已有结果.
Under theΣ-C^(0)-BD equivalence on bifurcation problems,theΣ-C^(0)-BD finite determination of bifurcation problems from the weighted point view is being discussed.Some criteria on theΣ-C^(0)-BD finite determination of bifurcation problems is then obtained in terms of an analytic-geometric nondegeneracy condition,which generalize the result on the C^(0)finite determination of bifurcation problems.
作者
刘苏卉
刘恒兴
LIU Su-hui;LIU Heng-xing(Department of Mathematics and Big Date,School of Artificial Intelligence,Jianghan University,Wuhan 430056,China;School of Mathematics and Statistics,Wuhan University,Wuhan 430072,China)
出处
《东北师大学报(自然科学版)》
CAS
北大核心
2024年第4期26-34,共9页
Journal of Northeast Normal University(Natural Science Edition)
基金
国家自然科学基金资助项目(12071353)。