文章基本信息

标题：Existence of positive solutions to discrete second-order boundary value problems with indefinite weight
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作者：Chenghua Gao ; Guowei Dai ; Ruyun Ma 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2012
卷号：2012
期号：1
页码：3
DOI：10.1186/1687-1847-2012-3
语种：English
出版社：Hindawi Publishing Corporation
摘要：Let T > 1 be an integer, T = { 1 , 2 , . . . , T } . This article is concerned with the global structure of the set of positive solutions to the discrete second-order boundary value problems Δ 2 u ( t - 1 ) + r m ( t ) f ( u ( t ) ) = 0 , t ∈ T , u ( 0 ) = u ( T + 1 ) = 0 , where r ≠ 0 is a parameter, m : T → ℝ changes its sign, m(t) ≠ 0 for t ∈ T and f : ℝ → ℝ is continuous. Also, we obtain the existence of two principal eigenvalues of the corresponding linear eigenvalue problems. MSC (2010): 39A12; 34B18.
关键词：discrete indefinite weighted problems ; positive solutions ; principal eigenvalue ; bifurcation ; existence