In this paper, the authors study the existence of positive solution of the followingBVP{1/p(t)(p(t)x′)′+ f(t,x(t),p(t)x′(t)) = 0,0＜t＜+∞αx(0) - β limt→0(t)x′(t) = 0, γ limt→∞ x(t) + δt→+∞lim p(t)x′(t) ...In this paper, the authors study the existence of positive solution of the followingBVP{1/p(t)(p(t)x′)′+ f(t,x(t),p(t)x′(t)) = 0,0＜t＜+∞αx(0) - β limt→0(t)x′(t) = 0, γ limt→∞ x(t) + δt→+∞lim p(t)x′(t) = 0on the semi-infinite interval. By considering characterization of the nonlinearity, they obtain some new existence results.展开更多
基金Supported by the Natural Scientific Fund of Zhejiang Province(Y604127)Supported by the Educational Scientific Fund of Zhejiang Province(20030594)
文摘In this paper, the authors study the existence of positive solution of the followingBVP{1/p(t)(p(t)x′)′+ f(t,x(t),p(t)x′(t)) = 0,0＜t＜+∞αx(0) - β limt→0(t)x′(t) = 0, γ limt→∞ x(t) + δt→+∞lim p(t)x′(t) = 0on the semi-infinite interval. By considering characterization of the nonlinearity, they obtain some new existence results.
