Half-linear dynamic equations with mixed derivatives.
Hierarchies of difference boundary value problems.
Homoclinic solutions of 2nth-order difference equations containing both advance and retardation
By using the critical point method, some new criteria are obtained for the existence and multiplicity of homoclinic solutions to a 2nth-order nonlinear difference equation. The proof is based on the Mountain Pass Lemma in combination with periodic approximations. Our results extend and improve some known ones.
How the constants in Hille-Nehari theorems depend on time scales.