两类脉冲微分方程边值问题解的存在性

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 Title	Existence 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解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 Abstract	In 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
Identifier	https://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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