Multiple periodic solutions for the second-order nonlinear difference equations
Abstract Multiple periodic solutions for the equation Δ(pn(Δxn−1)δ)+qnxnδ=∇F(n,xn),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 Niren...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-08-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-018-1713-9 |