兰州大学机构库 >数学与统计学院
两类脉冲微分方程边值问题解的存在性
Alternative TitleExistence of solutions for two classes of boundary value problem
李亚宁
Thesis Advisor孙红蕊
2011-05-24
Degree Grantor兰州大学
Place of Conferral兰州
Degree Name硕士
Keyword脉冲微分方程 边值问题 变分法 临界点理论 存在性 紧性 山路引理 鞍点定理
Abstract本文主要运用变分法和临界点理论研究了两类脉冲微分方程边值问题解的存在性问题,通过选取合适的空间并构造适当的泛函,利用不同的临界点定理得到泛函临界点的存在性,从而建立了相应脉冲微分方程边值问题解的存在性准则.
Other AbstractIn this thesis, based on variational methods and critical point theory, we consider the existence of solution of two class of boundary value problems of impulsive differential equations. By choosing suitable spaces and functionals, we get the existence of critical points for the functional with different critical point theorems, so the existence criteria of solution of the corresponding impulse differential equations are established.
URL查看原文
Language中文
Document Type学位论文
Identifierhttps://ir.lzu.edu.cn/handle/262010/224891
Collection数学与统计学院
Recommended Citation
GB/T 7714
李亚宁. 两类脉冲微分方程边值问题解的存在性[D]. 兰州. 兰州大学,2011.
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