【摘要】 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G~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.更多还原

【Abstract】 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.更多还原