Homoclinic solutions in periodic nonlinear difference equations with superlinear nonlinearity.

In this paper, we consider the existence of homoclinic solutions in periodic nonlinear difference equations with superlinear nonlinearity. The classical Ambrosetti-Rabinowitz superlinear condition is improved by a general superlinear one. The proof is based on the critical point theory in combination with periodic approximations of solutions. [ABSTRACT FROM AUTHOR]