| Non-periodic discrete Schrodinger equations with sign-changing and super-quadratic terms: Existence of solutions |
| Liqian Jia,Guanwei Chen |
| Keywords:non-periodic discrete Schrodinger equations; super-linear; homoclinic solutions; sign-changing; variational methods. |
| Abstract: |
| We study the existence of homoclinic solutions for a class of non-periodic discrete nonlinear Schr\"{o}dinger equations, where nonlinearities are super-linear at infinity, and primitive functions of nonlinearities are allowed to be sign-changing. By using some weaker conditions, our result extends and improves some results in the literature. Besides, we also give examples to illuminate our results. |
|
|
|
|
|