Nontrivial periodic solutions to some semilinear sixth-order difference equations
Summary: 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.
scientific article; zbMATH DE number 7022221
scientific article