北京理工大学学报
北京理工大學學報
북경리공대학학보
JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY
2009年
11期
1022-1024
,共3页
Schauder不动点定理%正解%泛函微分方程%时滞%边值问题
Schauder不動點定理%正解%汎函微分方程%時滯%邊值問題
Schauder불동점정리%정해%범함미분방정%시체%변치문제
Schauder fix point theorem%positive solution%functional differential equation%delay%boundary value problem
应用Schauder不动点定理讨论一类二阶泛函微分方程边值问题正解的存在性,所得的结果放宽了已有文献中的条件:A≥φ(0),1/2≤T＜√6. 结论简单,易于验证,并给出应用举例的验证结果.
應用Schauder不動點定理討論一類二階汎函微分方程邊值問題正解的存在性,所得的結果放寬瞭已有文獻中的條件:A≥φ(0),1/2≤T＜√6. 結論簡單,易于驗證,併給齣應用舉例的驗證結果.
응용Schauder불동점정리토론일류이계범함미분방정변치문제정해적존재성,소득적결과방관료이유문헌중적조건:A≥φ(0),1/2≤T＜√6. 결론간단,역우험증,병급출응용거례적험증결과.
Discusses the existence of positive solutions for boundary value problems of second order functional differential equations by applying Schauder's fixd point theorem. To ensure the existence of positive solution, some sufficient conditions are provided without the hypothesis: A≥φ(0), 1/2≤T＜√6, which are necessaug in the published literature.
