一类奇异常微分方程边值问题解的存在性

摘要

设f:[0,1]×R2→R满足Caratheodory,a(.)∈L1[0,1],a(.)≥0∫,0t0a(t)dt-∫1t0a(t)dt≠1,t0∈(0,1),(1-t)e(t)∈L1(0,1).运用Leray-Schauder原理考虑了二阶奇异边值问题:x″(t)=f(t,x(t),x′(t))+e(t),0