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

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.