鲁东大学学报（自然科学版）
魯東大學學報（自然科學版）
로동대학학보（자연과학판）
Ludong University Journal (Natural Science Edition)
2015年
4期
295-300
,共6页
于洋洋%王琳琳%樊永红
于洋洋%王琳琳%樊永紅
우양양%왕림림%번영홍
测度链%边值问题%换元积分%对称正解%充要条件
測度鏈%邊值問題%換元積分%對稱正解%充要條件
측도련%변치문제%환원적분%대칭정해%충요조건
time scale%boundary value problems%substitution integration%symmetric positive solutions%necessary and sufficient condition
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。
研究瞭測度鏈上的二階邊值問題，解決瞭換元積分和格林函數對稱形式構造中的睏難，運用迭代技巧，得到瞭對稱正解存在的充要條件，併舉例驗證瞭結果。
연구료측도련상적이계변치문제，해결료환원적분화격림함수대칭형식구조중적곤난，운용질대기교，득도료대칭정해존재적충요조건，병거례험증료결과。
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 sufficient condition for the existence of symmetric positive solutions was obtained by using iterative technique. And exam-ples were given to illustrate our main result.
