文章基本信息
- 标题：Unbounded Perturbations of Nonlinear Second-Order Difference Equations at Resonance
- 本地全文：下载
- 作者：Ruyun 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：2007
- 卷号：2007
- DOI：10.1155/2007/96415
- 出版社：Hindawi Publishing Corporation
- 摘要：
We study the existence of solutions of nonlinear discrete boundary value problems Δ 2 u ( t − 1 ) + μ 1 u ( t ) + g ( t , u ( t ) ) = h ( t ) , t ∈ T , u ( a ) = u ( b + 2 ) = 0 , where T : = { a + 1 , … , b + 1 } , h : T → ℝ , μ 1 is the first eigenvalue of the linear problem Δ 2 u ( t − 1 ) + μ u ( t ) = 0 , t ∈ T , u ( a ) = u ( b + 2 ) = 0 , g : T × ℝ → ℝ satisfies some “asymptotic nonuniform” resonance conditions, and g ( t , u ) u ≥ 0 for u ∈ ℝ .
