대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제44권4호
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  • Pages.841-849
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  • 2007
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  • 1015-8634(pISSN)
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  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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HYERS-ULAM-RASSIAS STABILITY OF A SYSTEM OF FIRST ORDER LINEAR RECURRENCES

  • Xu, Mingyong (DEPARTMENT OF MATHEMATICS SICHUAN UNIVERSITY)
  • 발행 : 2007.11.30
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⟨ 이전 논문 다음 논문 ⟩

초록

In this paper we discuss the Hyers-Ulam-Rassias stability of a system of first order linear recurrences with variable coefficients in Banach spaces. The concept of the Hyers-Ulam-Rassias stability originated from Th. M. Rassias# stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297-300. As an application, the Hyers-Ulam-Rassias stability of a p-order linear recurrence with variable coefficients is proved.

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참고문헌

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피인용 문헌

  1. Hyers–Ulam stability and discrete dichotomy vol.423, pp.2, 2015, https://doi.org/10.1016/j.jmaa.2014.10.082
  2. Hyers–Ulam stability and discrete dichotomy for difference periodic systems vol.140, pp.8, 2016, https://doi.org/10.1016/j.bulsci.2016.03.010