Nontrivial Periodic Solutions to Some Semilinear Sixth-Order Difference Equations

الملخص EN

We establish some new criteria to guarantee nonexistence, existence, and multiplicity of nontrivial periodic solutions of some semilinear sixth-order difference equations by using minmax method, Z 2 index theory, and variational technique.

Our results only make some assumptions on the period T , which are very easy to verify and rather relaxed.