二阶微分方程周期边值问题解的存在性  

Existence of Solution of Periodic Boundary Value Problem to Second Order Differential Equations

作　　者：李晓彬[1] 

机构地区：[1]太原电力高等专科学校教务处,山西太原030013

出　　处：《洛阳理工学院学报（自然科学版）》2013年第1期85-90,共6页Journal of Luoyang Institute of Science and Technology：Natural Science Edition

摘　　要：利用一个新的不动点定理,讨论了一类二阶脉冲微分方程周期边值问题。在不要求假设算子具有上下解的条件下,得到该问题唯一解的存在性,得到了新的结果,推广和改进了文献中的相关结论。同时,举例说明了所得结果的应用。A new fixed point theorem has been taken to discuss about the periodic boundary value problem for the second order impulsive differential equation. On the condition that the upper and lower solutions are not required for the hypothetical operators, the existence of the unique solution to this problem could be obtained to develop a new result which generalizes and promotes the concerned conclusions in some literatures. Examples are also given to illustrate the application of the result.

关 键 词：二阶方程 周期边值问题 唯一解 

分 类 号：O175[理学—数学]