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Discrete Schrödinger equations with sign-changing nonlinearities: Infinitely many homoclinic solutions

Journal of Mathematical Analysis and Applications, ISSN: 0022-247X, Vol: 452, Issue: 1, Page: 568-577
2017
  • 18
    Citations
  • 0
    Usage
  • 3
    Captures
  • 0
    Mentions
  • 0
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    18
    • Citation Indexes
      18
  • Captures
    3

Article Description

We obtain infinitely many homoclinic solutions for a class of discrete nonlinear Schrödinger equations, where nonlinearities are superlinear at infinity and primitive functions of nonlinearities are allowed to be sign-changing. By using some weaker conditions, our results extend and improve some existed results in the literature. Besides, some examples are given to illuminate our results.

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