Special Session 23: Topological and Variational Methods for Differential Equations

A variational framework for second order backward discrete boundary value problems

Min Wang
Kennesaw State University
USA
Co-Author(s):    Liancheng Wang, James Zhang
Abstract:
In this talk, we study two types of second order discrete boundary value problems involving backward difference operators. A new variational framework is developed and used to prove the existence of solutions to the boundary value problems by the critical point theory. An example is then provided to demonstrate the application of our theoretical results