On the Global Character of the Difference Equation X n + 1 = |
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Authors: | EA Grove G Ladas M Predescu M Radin |
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Institution: | 1. Department of Mathematics , University of Rhode Island , Kingston , RI , 02881-0816 , USA;2. Department of Mathematics and Statistics , Rochester Institute of Technology , 85 Lomb Memorial Drive, Rochester , NY , 14623-5604 , USA |
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Abstract: | We investigate the global stability, the periodic character, and the boundedness nature of solutions of the difference equation x n +1 = f + n x n m (2 k +1) + i x n m 2 l A + x n m 2 l , n =0,1,… where k and l are non-negative integers, the parameters f , n , i , A are non-negative real numbers with f + n + i >0, and the initial conditions are non-negative real numbers. We show that the solutions exhibit a trichotomy character depending upon the parameters n , i and A . |
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Keywords: | Boundedness Difference Equations Global Attractor Periodic Solutions Semi-cycles Trichotomy Character |
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