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ON THE NATURE OF SOLUTIONS OF THE DIFFERENCE EQUATION X_N+1 = X_NX_N-3 - 1
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نویسنده
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KENT C. M. ,KOSMALA W.
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منبع
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international journal of nonlinear analysis and applications - 2011 - دوره : 2 - شماره : 2 - صفحه:24 -43
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چکیده
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We investigate the long-term behavior of solutions of the difference equation x_n+1 = x_nx_n-3 - 1 ; n = 0 , 1 , ... , where the initial conditions x_-3 ; x_-2 ; x_-1 ; x_0 are real numbers. in particular, we look at the periodicity and asymptotic periodicity of solutions, as well as the existence of unbounded solutions.
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کلیدواژه
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Difference Equations ,Boundedness ,Periodicity ,Asymptotic periodicity ,Eventual periodicity ,Invariant interval ,Continued fractions.
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آدرس
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Virginia Commonwealth University, Department of Mathematics and Applied Mathematics, USA, Appalachian State University, Department of Mathematical Sciences, USA
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پست الکترونیکی
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kosmalaw@bellsouth.net
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Authors
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