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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.