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.
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)
关键词
测度链
边值问题
换元积分
对称正解
充要条件
time scale
boundary value problems
substitution integration
symmetric positive solutions
necessary and sufficient condition