摘要
This paper deals with the existence of solutions for the problem where φp(s)=|s|p-2s,p > 1.0<η1<η2<…<ηn-2<1,ai(i=1,2,...,n-2) are non-negative constants and ∑n-2 i=1 ai=1.Some known results are improved under some sign and growth conditions.The proof is based on the Brouwer degree theory.
This paper deals with the existence of solutions for the problem
{（Фp（u′））′=f（t,u,u′）,t∈（0,1）,
u′（0）=0,u（1）=∑i=1^n-2aiu（ηi）,
where Фp（s）=｜s｜^p-2s,p〉1.0〈η1〈η2〈…〈ηn-2〈1,ai（i=1,2,…,n-2）are non-negative constants and ∑i=1^n-2ai=1.Some known results are improved under some sign and growth conditions. The proof is based on the Brouwer degree theory.
基金
the National Natural Science Foundation of China(No.10771212)
the Foundation of China University of Mining and Technology(Nos.2005A041
2006A042
2008A037)
