• Title/Summary/Keyword: Boundedness

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A BOUNDED KOHN NIRENBERG DOMAIN

  • Calamai, Simone
    • Bulletin of the Korean Mathematical Society
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    • v.51 no.5
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    • pp.1339-1345
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    • 2014
  • Building on the famous domain of Kohn and Nirenberg we give an example of a domain which shares the important features of the Kohn Nirenberg domain, but which can also be shown to be ${\phi}$-bounded As an application, we remark that this example has compact automorphism group.

GLOBAL ASYMPTOTIC STABILITY OF A SECOND ORDER RATIONAL DIFFERENCE EQUATION

  • Abo-Zeid, R.
    • Journal of applied mathematics & informatics
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    • v.28 no.3_4
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    • pp.797-804
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    • 2010
  • The aim of this paper is to investigate the global stability, periodic nature, oscillation and the boundedness of solutions of the difference equation $x_{n+1}\;=\;\frac{A+Bx_{n-1}}{C+Dx_n^2}$, n = 0, 1, 2, ... where A, B are nonnegative real numbers and C, D > 0.