兰州理工大学学报
蘭州理工大學學報
란주리공대학학보
JOURNAL OF LANZHOU UNIVERSITY OF TECHNOLOGY
2007年
2期
137-140
,共4页
奇异边值问题%存在性%Leray-Schauder原理%格林函数
奇異邊值問題%存在性%Leray-Schauder原理%格林函數
기이변치문제%존재성%Leray-Schauder원리%격림함수
设f:[0,1]×R2→R满足Caratheodory条件(1-t)e(t)∈L1(0,1),∫01a(t)tdt≠1,a(t)t∈L1[0,1].运用Leray-Schauder原理考虑二阶奇异边值问题x"(t)=f(t,x(t),x'(t))+e(t),0＜t＜1;x(0)=0,x(1)=∫01a(t)x(t)dt在C1[0,1)上解的存在性.
設f:[0,1]×R2→R滿足Caratheodory條件(1-t)e(t)∈L1(0,1),∫01a(t)tdt≠1,a(t)t∈L1[0,1].運用Leray-Schauder原理攷慮二階奇異邊值問題x"(t)=f(t,x(t),x'(t))+e(t),0＜t＜1;x(0)=0,x(1)=∫01a(t)x(t)dt在C1[0,1)上解的存在性.
설f:[0,1]×R2→R만족Caratheodory조건(1-t)e(t)∈L1(0,1),∫01a(t)tdt≠1,a(t)t∈L1[0,1].운용Leray-Schauder원리고필이계기이변치문제x"(t)=f(t,x(t),x'(t))+e(t),0＜t＜1;x(0)=0,x(1)=∫01a(t)x(t)dt재C1[0,1)상해적존재성.
