Boundary value problems for 2n-order ϕc-Laplacian difference equations containing both advance and retardation

• Published in: Applied mathematics letters Vol. 41; pp. 7 - 11
• Main Authors: Zhou, Zhan, Su, Meiting
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.03.2015
• Subjects: [formula omitted]-Laplacian difference equation; [formula omitted]-order; Boundary value problem; Critical point theory; Critical point theory; Boundary value problem; ϕc-Laplacian difference equation; 2n-order
• ISSN: 0893-9659; 1873-5452
• DOI: 10.1016/j.aml.2014.10.006

In this paper, by using critical point theory, we obtain some sufficient conditions on the existence of solutions of the boundary value problem for a 2n-order ϕc-Laplacian difference equation containing both advance and retardation. To the best of our knowledge, this is the first time to discuss the boundary value problem for a special ϕ-Laplacian difference equation.