Homoclinic Solutions for a Class of Nonlinear Difference Equations

oleh: Ali Mai, Zhan Zhou

Format: Article
Diterbitkan: Wiley 2014-01-01

Deskripsi

We prove the existence of homoclinic solutions of a class of nonlinear difference equations with superlinear nonlinearity by using the generalized Nehari manifold approach. For the case where the nonlinearity is odd, we obtain infinitely many homoclinic solutions of the equations. Recent results in the literature are generalized and improved.