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  • 标题:A note on general solutions to a hyperbolic-cotangent class of systems of difference equations
  • 本地全文:下载
  • 作者:Stevo Stević
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2020
  • 卷号:2020
  • 期号:1
  • 页码:1-12
  • DOI:10.1186/s13662-020-03155-1
  • 出版社:Hindawi Publishing Corporation
  • 摘要:Recently there has been some interest in difference equations and systems whose forms resemble some trigonometric formulas. One of the classes of such systems is the so-called hyperbolic-cotangent class of systems of difference equations. The corresponding two-dimensional class has two delays denoted by k and l. So far the class has been studied for the case $k\ne l$ , and it was shown that it is practically solvable when $\max \{k,l\}\le 2$ . In this note we show practical solvability of the system in the case $k=l$ , not only for small values of k and l, but for all $k=l\in {\mathbb {N}}$ , which is the first result of such generality.
  • 关键词:System of difference equations; Solvable systems; Practical solvability
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