Multiple and sign-changing solutions for discrete Robin boundary value problem with parameter dependence

Abstract

In this paper, we study second-order nonlinear discrete Robin boundary value problem with parameter dependence. Applying invariant sets of descending flow and variational methods, we establish some new sufficient conditions on the existence of sign-changing solutions, positive solutions and negative solutions of the system when the parameter belongs to appropriate intervals. In addition, an example is given to illustrate our results.

Keywords

• sign-changing solution
• difference equation
• robin boundary value problem
• invariant sets of descending flow
• 39a11