Nontrivial Periodic Solutions to Some Semilinear Sixth-Order Difference Equations

Yuhua Long
2014 Abstract and Applied Analysis  
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,Z2index theory, and variational technique. Our results only make some assumptions on the periodT, which are very easy to verify and rather relaxed.
doi:10.1155/2014/359105 fatcat:6pb52srwafcfbohd76re3qmnve