军械工程学院学报
軍械工程學院學報
군계공정학원학보
JOURNAL OF ORDNANCE ENGINEERING COLLEGE
2014年
3期
75-78
,共4页
常微分方程组%边值问题%Krasnosel'skii不动点定理
常微分方程組%邊值問題%Krasnosel'skii不動點定理
상미분방정조%변치문제%Krasnosel'skii불동점정리
positive solution%boundary value problem%krasnoselskii's fixed point theorem
研究一类二阶常微分方程组两点边值问题,利用 Krasnoselskii’s不动点定理,得到当f和g 满足超线性或次线性时边值问题一个正解存在的充分条件。
研究一類二階常微分方程組兩點邊值問題,利用 Krasnoselskii’s不動點定理,得到噹f和g 滿足超線性或次線性時邊值問題一箇正解存在的充分條件。
연구일류이계상미분방정조량점변치문제,이용 Krasnoselskii’s불동점정리,득도당f화g 만족초선성혹차선성시변치문제일개정해존재적충분조건。
A boundary value problem is studied for systems of nonlinear second-order ordinary dif-ferential equations.By using Krasnoselskii's fixed point theorem,the sufficient condition is established that at least one positive solution to the problem exists when f and g are superlinear or sublinear.