### Abstract

Suficient conditions are obtained for the existence of multiple so-lutions to the discrete fourth order periodic boundary value problem Δ^{4}u(t - 2) - Δ (p(t - 1) Δ u(t - 1)) + _{q}(t)u(t) = f(t; u(t)); t ε [1;N]_{Z}; Δ^{i}u(-1) = Δ^{i}u(N - 1); i = 0; 1; 2; 3: Our analysis is mainly based on the variational method and critical point the- ory. One example is included to illustrate the result.

Original language | English (US) |
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Pages (from-to) | 291-299 |

Number of pages | 9 |

Journal | Discrete and Continuous Dynamical Systems - Series S |

Issue number | SUPPL. |

State | Published - Jan 1 2013 |

### All Science Journal Classification (ASJC) codes

- Analysis
- Discrete Mathematics and Combinatorics
- Applied Mathematics

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## Cite this

Graef, J. R., Kong, L., & Wang, M. (2013). Existence of multiple solutions to a discrete fourth order periodic boundary value problem.

*Discrete and Continuous Dynamical Systems - Series S*, (SUPPL.), 291-299.