【摘要】 用Leray-Schauder不动点定理,讨论两端简单支撑弹性梁方程■正解的存在性,其中λ是一个正参数,α,β∈P且β<2π~2,α≤-β~2/4,权函数a:[0,1]→R连续且不定号,f:R~+→R连续且f(0)>0.更多还原

【Abstract】 By using Leray-Schauder fixed point theorem, the author discusses the existence of positive solutions for the elastic beam equations simply supported at both ends■where λ is a positive parameter, α,β∈R and β<2π~2, α≤-β~2/4. The weight function a: [0,1]→R is continuous and its sign is indefinite, f: R~+→R is continuousand f(0)>0.更多还原