在Sturm—Liouville边界条件下研究较广泛的一类四阶奇异半正微分方程,得到其C^2[0,1]正解与C^3[0,1]正解存在的新结果,并给出了其正解与该边值问题的格林函数之间的某些联系.
A class of singular semipositone fourth order differential equations with Sturm- Liouville boundary value conditions is considered. Some new results on the existence of C^2 positive solutions and C^3 positive solutions for this class of differential equations are derived. Finally, some relations between the solutions and the Green's functions are derived.