成都信息工程学院学报
成都信息工程學院學報
성도신식공정학원학보
JOURNAL OF CHENGDU INSTITUTE OF METEOROLOGY
2003年
2期
184-188
,共5页
奇异边值问题%正解%充分必要条件
奇異邊值問題%正解%充分必要條件
기이변치문제%정해%충분필요조건
singular boundary value problem%positive solution%necessary and sufficient condition
设α<0,0<β≤1, 则下面奇异边值问题x″+p(t)xα+q(t)(x′)β=0, 0<t<1x(0)=0, x′(1)=γ>0有C1[0,1]正解的充分必要条件是:sαp(s)∈L[0,1],q(s)∈L[0,1] .
設α<0,0<β≤1, 則下麵奇異邊值問題x″+p(t)xα+q(t)(x′)β=0, 0<t<1x(0)=0, x′(1)=γ>0有C1[0,1]正解的充分必要條件是:sαp(s)∈L[0,1],q(s)∈L[0,1] .
설α<0,0<β≤1, 칙하면기이변치문제x″+p(t)xα+q(t)(x′)β=0, 0<t<1x(0)=0, x′(1)=γ>0유C1[0,1]정해적충분필요조건시:sαp(s)∈L[0,1],q(s)∈L[0,1] .
Let α<0,0<β≤1,a necessary and sufficient condition for the existence of the positive C1[0,1] solution to the following singular boundary value problemx″+p(t)xα+q(t)(x′)β=0, 0<t<1x(0)=0, x′(1)=γ>0is sαp(s)∈L[0,1],q(s)∈L[0,1]
