纯粹数学与应用数学
純粹數學與應用數學
순수수학여응용수학
PURE AND APPLIED MATHEMATICS
2013年
5期
544-550
,共7页
三阶三点边值问题%正解%存在性%锥%变号Green函数
三階三點邊值問題%正解%存在性%錐%變號Green函數
삼계삼점변치문제%정해%존재성%추%변호Green함수
third-order three-point boundary value problem%positive solution%existence%cone%sign-changing Green′s function
运用Guo-Krasnoselskii 不动点定理，在相应的Green 函数变号的情况下，建立了三阶常微分方程三点边值问题至少存在两个正解的若干存在性准则。
運用Guo-Krasnoselskii 不動點定理，在相應的Green 函數變號的情況下，建立瞭三階常微分方程三點邊值問題至少存在兩箇正解的若榦存在性準則。
운용Guo-Krasnoselskii 불동점정리，재상응적Green 함수변호적정황하，건립료삼계상미분방정삼점변치문제지소존재량개정해적약간존재성준칙。
By using the Guo-Krasnoselskii fixed-point theorem, some existence criteria of at least two positive solutions are established for a three-point boundary value problem of third-order ordinary differential equation under the condition that the corresponding Green′s function is sign-changing.
