Title | ||
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Positive solutions to a new kind Sturm–Liouville-like four-point boundary value problem |
Abstract | ||
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In this paper, we considered the following four-point boundary value problemx″(t)+h(t)f(t,x(t),x′(t))=0,0<t<1,x′(0)−α1x(ξ)=0,x′(1)+α2x(η)=0,where 0<α1<1ξ,0<α2<11−η,0<ξ<η<1,α1α2η−α1α2ξ+α1+α2>0. By applying fixed-point theorems, we obtain a variety of existence results. In particular, our four-point boundary condition is a new kind Sturm–Liouville-like boundary condition, which has rarely been considered up to now. |
Year | DOI | Venue |
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2010 | 10.1016/j.amc.2010.06.020 | Applied Mathematics and Computation |
Keywords | DocType | Volume |
Sturm–Liouville like,Four-point,Boundary value problem,Positive solutions,Fixed point | Journal | 217 |
Issue | ISSN | Citations |
2 | 0096-3003 | 0 |
PageRank | References | Authors |
0.34 | 4 | 4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Junfang Zhao | 1 | 3 | 1.91 |
Fengjie Geng | 2 | 8 | 3.67 |
Jianfeng Zhao | 3 | 20 | 2.27 |
Weigao Ge | 4 | 158 | 46.20 |