测度链上二阶边值问题多个正解的存在性  

Existence of Multiple Positive Solutions for A Second-order Boundary Value Problem on A Measure Chain

作　　者：李云红[1] 吕文静[2] 郭彦平[1] 

机构地区：[1]河北科技大学理学院,河北石家庄050018 [2]河北大学新校区建设办公室,河北保定071002

出　　处：《河北大学学报（自然科学版）》2008年第5期462-465,共4页Journal of Hebei University(Natural Science Edition)

基　　金：河北省自然科学基金资助项目(A2006000298)

摘　　要：讨论测度链上二阶边值问题,xΔΔ+k(t)f(t,x(σ(t)))=0,t∈[t1,t2],αx(t1)-βxΔ(t1)=0,γx(σ(t2))+δxΔ(σ(t2))=0正解的存在性,[t1,t2]T,T是测度链,利用Leggett-Williams不动点定理,可得该问题至少存在3个正解.Concerned with the existence of positive solutions for a second-order boundary value problem on a measure chainx△△＋k（t）f（t,x（σ（t）））=0,t∈[t1,t2],αx（t1）-βx（t1）=0,γx（σ（t2））＋δx△（σ（t2））=0, where [ t1, t2] T, T is a measure chain. Using Leggett-Williams fixed point theorem, we show that it has at least three positive solutions.

关 键 词：测度链 边值问题 锥 Leggett—Williams不动点定理 

分 类 号：O175.8[理学—数学]