This paper deals with the existence and multiplicity of solutions to a second-order difference boundary value problem
Under some appropriate assumptions, the authors give some sufficient conditions on the existence and multiplicity of solutions for the above mentioned difference boundary value problem. The main tools used here are the classical variational methods and a variant version of a theorem due to D. C. Clark [Math. J., Indiana Univ. 22, 65–74 (1972; Zbl 0228.58006)].