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Volumn 11, Issue 8, 2005, Pages 701-705

A note on the stability oval for Xn+1 = Xn + AX n-k

Author keywords

Asymptotic stability; Delay difference equation; Rekhlitskii oval; Zero solution

Indexed keywords


EID: 24144472294     PISSN: 10236198     EISSN: None     Source Type: Journal    
DOI: 10.1080/10236190512331333851     Document Type: Article
Times cited : (14)

References (11)
  • 1
    • 0023347455 scopus 로고
    • Simple stability criterion for a class of delay differential systems
    • Buslowicz, M., 1987, Simple stability criterion for a class of delay differential systems, International Journal of Systems Science, 18, 993-995.
    • (1987) International Journal of Systems Science , vol.18 , pp. 993-995
    • Buslowicz, M.1
  • 2
    • 2642564248 scopus 로고    scopus 로고
    • The asymptotic stability of x(n + k) + ax(n) + bx(n - 1) = 0
    • Dannan, F.M., 2004, The asymptotic stability of x(n + k) + ax(n) + bx(n - 1) = 0, Journal of Difference Equations and Application, 10, 589-599.
    • (2004) Journal of Difference Equations and Application , vol.10 , pp. 589-599
    • Dannan, F.M.1
  • 4
    • 84904240021 scopus 로고    scopus 로고
    • Stability of three-term linear difference equations with two delays
    • Kipnis, M.M. and Nigmatulin, R.M., 2004, Stability of three-term linear difference equations with two delays, Automation and Remote Control, 65, 1710-1723.
    • (2004) Automation and Remote Control , vol.65 , pp. 1710-1723
    • Kipnis, M.M.1    Nigmatulin, R.M.2
  • 7
    • 0004436380 scopus 로고    scopus 로고
    • The asymptotic stability of a two-dimensional linear delay difference equations
    • Matsunaga, H. and Hara, T., 1999, The asymptotic stability of a two-dimensional linear delay difference equations, Dynamics of Continuous, Discrete and Impulsive Systems, 6, 465-473.
    • (1999) Dynamics of Continuous, Discrete and Impulsive Systems , vol.6 , pp. 465-473
    • Matsunaga, H.1    Hara, T.2
  • 8
    • 0021121477 scopus 로고
    • Stability criteria for linear differential difference systems
    • Mori, T. and Noldus, E., 1984, Stability criteria for linear differential difference systems, International Journal of Systems Science, 15, 87-94.
    • (1984) International Journal of Systems Science , vol.15 , pp. 87-94
    • Mori, T.1    Noldus, E.2
  • 10
    • 0002695767 scopus 로고    scopus 로고
    • On the asymptotic stability of a class of linear difference equations
    • Papanicolaou, V.G., 1996, On the asymptotic stability of a class of linear difference equations, Mathematics Magazine, 69, 34-43.
    • (1996) Mathematics Magazine , vol.69 , pp. 34-43
    • Papanicolaou, V.G.1
  • 11
    • 24144438691 scopus 로고
    • On stability of solutions of some linear differential equations in Banach space
    • in Russian
    • Rekhlitskii, Z.I., 1956, On stability of solutions of some linear differential equations in Banach space, DAN SSSR, 111, 29-32 (in Russian).
    • (1956) DAN SSSR , vol.111 , pp. 29-32
    • Rekhlitskii, Z.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.