测度链上二阶边值问题的对称正解  

Symmetric Positive Solutions of 2- order Boundary Value Problems on a Time Scale

作　　者：于洋洋[1] 王琳琳[1] 樊永红[1] 

机构地区：[1]鲁东大学数学与统计科学学院,山东烟台264039

出　　处：《鲁东大学学报（自然科学版）》2015年第4期295-300,共6页Journal of Ludong University:Natural Science Edition

基　　金：国家自然科学基金(11201213;11371183);山东省自然科学基金(ZR2015AM026;ZR2013AM004);山东省高校科技发展计划(J15LI07)

摘　　要：研究了测度链上的二阶边值问题,解决了换元积分和格林函数对称形式构造中的困难,运用迭代技巧,得到了对称正解存在的充要条件,并举例验证了结果.2-order boundary value problem on a time scale was discussed. The difficulty of substitution integra-tion and establishment of symmetric form about the Green＇s function was overcome. A necessary and sufficientcondition for the existence of symmetric positive solutions was obtained by using iterative technique. And exam-ples were given to illustrate our main result.

关 键 词：测度链 边值问题 换元积分 对称正解 充要条件 

分 类 号：O175.1[理学—数学]