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  • 标题:Nontrivial solutions of inverse discrete problems with sign-changing nonlinearities
  • 本地全文:下载
  • 作者:Alberto Cabada ; Nikolay D. Dimitrov
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2019
  • 卷号:2019
  • 期号:1
  • 页码:1-16
  • DOI:10.1186/s13662-019-2383-y
  • 出版社:Hindawi Publishing Corporation
  • 摘要:This paper is concerned with the existence of solutions of an inverse discrete problem with sign-changing nonlinearity. This kind of problems includes, as a particular case, nth order difference equations coupled with suitable conditions on the boundary of the interval of definition. It would be valid for the case in which the related Green’s function is positive on a subset of its rectangle of definition. The existence results follow from spectral theory, as an application of the Krein–Rutman theorem and by means of degree theory.
  • 关键词:Inverse discrete problem;Difference equation;Green’s function;Spectral radius
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