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Nonexistence and existence results for a class of fourth-order difference Neumann boundary value problems

Liu Xia*; Zhang Yuanbiao; Shi Haiping
SCI
湖南农业大学; x

摘要

In this paper, a class of fourth-order nonlinear difference equations are considered. By making use of the critical point method, we establish various sets of sufficient conditions for the nonexistence and existence of solutions for Neumann boundary value problems and give some new results. Our results successfully complement the existing ones.

关键词

Nonexistence and existence Neumann boundary value problems Fourth-order Mountain Pass Lemma Discrete variational theory