摘要: 本文研究了二阶半正问题
正解的存在性,其中λ为正参数,α,δ>0,β≥0为常数,c∈C([0,∞),[0,∞)),h∈C([0,1],[0,∞),f∈C([0,∞),ℝ)且f>-M(M>0),
通过运用Krasnoselskii不动点定理证明了存在常数λ
0 >0,当0<λ<λ
0时,问题(P)存在一个正解。
Abstract:
We are concerned with existence of positive solutions for the second order semi-positone problem
where λ is a positive parameter,α,δ>0,β≥0, c∈C([0,∞),[0,∞)),h∈C([0,1],[0,∞),f∈C([0,∞),ℝ) and f>-M(M>0)
By using fixed point theorem of Krasnoselskii, we prove that there exists
λ0 > 0 such that (P) has a positive solution
for 0<λ<λ
0.