摘要
在以下带有p-Laplacian算子的分数阶微分方程多点边值问题中:{D_0~β+(Φ(D_0~α+u(t)))=λf(u(t)),0<t<1,2<α≤3,1<β≤2,u(0)=u'(0)=0,u(1)=■β_iu(ξ_i),Φ(D_0~α+u(0))=(Φ(D_0~α+u(1)))'=0,其中D_0~α+,D_0~β+是Riemann-Liouville分数阶导数,f∶[0,+∞)→[0,+∞)是连续函数,文章的新奇之处在于运用Guo-Krasnoselskii不动点定理来研究了一类含参量的带有p-Laplacian多点边值问题正解的存在性及不存在性.
In the following multi-point boundary value problem of fractional differential equation with p-Laplacian：{D0~β＋（Φ（D0~α＋u（t）））=λf（u（t））,0t1,2α≤3,1β≤2,u（0）=u＇（0）=0,u（1）=■βiu（ξi）,Φ（D0~α＋u（0））=（Φ（D0~α＋u（1）））＇=0,where D0~α＋,D0~β＋ are the Riemann-Liouville differentiation, f∶[0,＋∞）→[0,＋∞）is a continuous function. The novelty of this paper is to use Guo-Krasnoselskii fixed point theorem to study the existence and non-existence of positive solutions.
作者
张艳
马德香
ZHANG Yan;MA Dexiang(College of Mathematics and Physics, North China University of Electrical Power,Beijing 102206,China)
出处
《汕头大学学报（自然科学版）》
2017年第3期29-41,共13页
Journal of Shantou University：Natural Science Edition
