一类二阶半线性脉冲微分方程的Sturm比较定理  

Sturmian Comparison Theory for a Class of Half-linear Impulsive Differential Equations

作　　者：杨冰[1] 姚美萍[1] 

机构地区：[1]山西大学数学科学学院

出　　处：《太原科技大学学报》2007年第5期351-352,共2页Journal of Taiyuan University of Science and Technology

基　　金：山西省自然科学基金(2007011001)

摘　　要：考虑具有定时脉冲的二阶半线性脉冲微分方程,证明了在一定条件下Sturm型比较理论对二阶半线性脉冲微分方程也成立,同时说明了脉冲扰动对Sturm比较结果的影响。结果推广了文献[Nonlinear Analysis,2005,63:289-297]中的相关结论。Considering a class of second-order half-linear differentialequations with fixed moments of impulse actions. We verity that Sturmian comparison theory is still tenable undercertain conditions. It is shown that impulse actions may greatly influence the behavior of solutions in comparison. The results in this paper extend the corresponding those in the paper [ Nonlinear Analysis, 2005, 63：289-297 ].

关 键 词：二阶半线性脉冲微分方程 STURM比较定理 定时脉冲 

分 类 号：O175.13[理学—数学]