Existence of Periodic Solutions of a Higher Order Difference System

Periodic solutions for second-order difference equations with resonance at infinity

“…One can refer to [3,4,13,18,19,21,23,25,26], etc. for recent literature on the existence and multiplicity of periodic solutions and subharmonic solutions to difference equations.…”

Existence of solutions to boundary value problems for a higher-dimensional difference system

“…If Γ = 0, Hu and Huang in 2008 [12] applied the critical point theorem to prove the existence of periodic solution of a higher order difference equation as the following type…”

Multiplicity of Periodic Solutions for a Higher Order Difference Equation

“…Among these approaches, Morse theory is an important tool to deal with such problems. However, there are, at present, only a few papers dealing with higher order difference equation except [21][22][23]. On the other hand, under some assumptions, the functional may not satisfy the Palasis-Smale condition.…”