文章基本信息

标题：Nonlinear Discrete Periodic Boundary Value Problems at Resonance
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作者：Ruyun Ma ; Huili Ma
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2009
卷号：2009
DOI：10.1155/2009/360871
出版社：Hindawi Publishing Corporation
摘要：
Let T ∈ ℕ be an integer with T > 2 , and let 𝕋 : = { 1 , … , T } . We study the existence of solutions of nonlinear discrete problems Δ 2 u ( t − 1 ) + λ k a ( t ) u ( t ) + g ( t , u ( t ) ) = h ( t ) , t ∈ 𝕋 , u ( 0 ) = u ( T ) , u ( 1 ) = u ( T + 1 ) , where a , h : 𝕋 → ℝ with a > 0 , λ k is the k th eigenvalue of the corresponding linear eigenvalue problem.