文章基本信息

标题：Multiple periodic solutions for the second-order nonlinear difference equations
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作者：Sheng Ma ; Zhihua Hu ; Qin Jiang 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：2018
卷号：2018
期号：1
页码：265
DOI：10.1186/s13662-018-1713-9
语种：English
出版社：Hindawi Publishing Corporation
摘要：Multiple periodic solutions for the equation Δ ( p n ( Δ x n − 1 ) δ ) + q n x n δ = ∇ F ( n , x n ) , n ∈ Z , $$ \Delta \bigl(p_{n}(\Delta x_{n - 1})^{\delta } \bigr) + q_{n}x_{n}^{\delta } = \nabla F ( n,x_{n} ) , \quad n \in \mathbb{Z}, $$ are obtained via variational method and saddle-point theorem of Brezis and Nirenberg. Our main results extend some earlier results. An example is given.