Nonexistence and existence of solutions for a fourth-order discrete mixed boundary value problem

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

来源：Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 2014, 124(2): 179-191.

DOI：10.1007/s12044-014-0176-5

• Nonexistence and existence
• fourth-order
• mixed boundary value problem
• Mountain Pass lemma
• discrete variational theory

In this paper, a fourth-order nonlinear difference equation is considered. By using the critical point theory, we establish various sets of sufficient conditions of the nonexistence and existence of solutions for mixed boundary value problem and give some new results. Results obtained generalize and complement the existing ones.

• 出版日期2014-5
• 单位暨南大学; 湖南农业大学