【摘要】 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].更多还原

【Abstract】 Let α<0,0<β≤1,a necessary and sufficient condition for the existence of the positive C1 solution to the following singular boundary value problemx″+p(t)xα+q(t)(x′)β=0, 0<t<1x(0)=0, x′(1)=γ>0is sαp(s)∈L,q(s)∈L更多还原