一类四阶奇异超线性m-点边值问题正解的存在性  

The existence of positive solutions of a class fourth-order singular super-linear m-point boundary value problems

作　　者：智婕[1] 

机构地区：[1]兰州商学院信息工程学院,甘肃兰州730020

出　　处：《浙江大学学报（理学版）》2012年第4期385-389,401,共6页Journal of Zhejiang University（Science Edition）

摘　　要：研究了一类四阶奇异超线性m-点边值问题u(4)(t)=f(t,u(t),-u″(t)),0<t<1,u(0)=0,u(1)=∑m-2i=1αiu(ηi),a u″(0)-b u'''(0)=0,c u″(1)+d u'''(1)=∑m-2 i=1βiu″(ηi)正解的存在性,并且利用锥上不动点定理。This paper investigated the existence of positive solutions of fourth-order singular super-linear m-point boundary value problems:u(4)(t)=f(t,u(t),-u″(t)),0<t<1,u(0)=0,u(1)=∑m-2i=1αiu(ηi),a u″(0)-b u'''(0)=0,c u″(1)+d u'''(1)=∑m-2i=1βiu″(ηi),and by using fixed point theorem in cones,we gained the criterion for the existence of positive solutions.

关 键 词：边值问题 正解 不动点定理 

分 类 号：O17[理学—数学]