Banach空间中二阶非线性脉冲微分方程的Sturm-Liouville边值问题的极解(英文)  

EXTREMAL SOLUTIONS OF STURM-LIOUVILLE BOUNDARY VALUE PROBLEMS FOR NONLINEAR SECOND ORDER IMPULSIVE DIFFERENTIAL EQUATIONS IN BANACH SPACES

作　　者：谢胜利[1] 

机构地区：[1]安徽宿州师范专科学校数学系,安徽宿州234000

出　　处：《数学杂志》2004年第2期139-144,共6页Journal of Mathematics

基　　金：SupportedbyScienceFoundationofAnhuiProvince (2 0 0 0 jl2 36 )

摘　　要：本文利用单调迭代技巧 ,锥理论和比较定理获得了Banach空间中二阶非线性脉冲微分方程的SturmIn this paper, by use of the monotone iterative technique, cone theory and comparision theorem, we obtain the extremal solutions of Sturm\|Liouville boundary value problems for nonlinear second order impulisive differential equations in Banach spaces.

关 键 词：脉冲微分方程 STURM-LIOUVILLE边值问题 锥 单调迭代技巧 最小解和最大解 

分 类 号：O177.2[理学—数学]