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Abstract <p> In the present article, we consider systems of linear difference equations with periodiccoefficients such that the spectrum of the monodromy matrix and the unit circle are disjoint. Wefind bounded solutions to such systems. For these solutions, we prove uniqueness theorems, obtainformulas, and estimate the norm. In certain partial cases, the estimates coincide withKreĭn’s inequalities.</p>

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Properties of Solutions to Systems of Difference Equations with Periodic Coefficients

  • 期刊论文

  • 发表日期：

    2025年12月22日

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  • G. V. Demidenko,
  • A. A. Bondar,
  • M. Sh. Ganzhaeva

摘要

Abstract

In the present article, we consider systems of linear difference equations with periodiccoefficients such that the spectrum of the monodromy matrix and the unit circle are disjoint. Wefind bounded solutions to such systems. For these solutions, we prove uniqueness theorems, obtainformulas, and estimate the norm. In certain partial cases, the estimates coincide withKreĭn’s inequalities.