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

作者：Liu Xia^*; Zhang Yuanbiao; Shi Haiping

来源：Mathematical Methods in the Applied Sciences, 2015, 38(4): 691-700.

DOI：10.1002/mma.3100

• nonexistence and existence
• Dirichlet boundary value problems
• fourth-order
• discrete variational theory

This paper is concerned with a class of fourth-order nonlinear difference equations. By using the critical point theory, we establish various sets of sufficient conditions of the nonexistence and existence of solutions for Dirichlet boundary value problems and give some new results. Our results successfully complement the existing ones.

• 单位
  湖南农业大学; x