| 测度链上二阶边值问题多个正解的存在性 |
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| 引用本文： | 李云红,吕文静,郭彦平.测度链上二阶边值问题多个正解的存在性[J].河北大学学报(自然科学版),2008,28(5):462. |
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| 作者姓名： | 李云红 吕文静 郭彦平 |
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| 作者单位： | 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 |
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| 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.
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| 关 键 词： | 测度链 边值问题 锥 Leggett-Williams不动点定理 |
Existence of Multiple Positive Solutions for A Second-order Boundary Value Problem on A Measure Chain |
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| LI Yun-hong,LU Wen-jing,GUO Yang-ping.Existence of Multiple Positive Solutions for A Second-order Boundary Value Problem on A Measure Chain[J].Journal of Hebei University (Natural Science Edition),2008,28(5):462. |
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| Authors: | LI Yun-hong LU Wen-jing GUO Yang-ping |
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| Abstract: | Concerned with the existence of positive solutions for a second-order boundary value problem on a measure chain xΔΔ+k(t)f(t,x(σ(t)))=0,t∈,αx(t1)-βxΔ(t1)=0,γx(σ(t2))+δxΔ(σ(t2))=0,where T,T is a measure chain.Using Leggett-Williams fixed point theorem,we show that it has at least three positive solutions. |
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| Keywords: | measure chain boundary value problem cone Leggett-Williams fixed point theorem |
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