Notes on the non-autonomous Lyness equation |
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| Authors: | Valerio De Angelis |
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| Institution: | Department of Mathematics, Xavier University of Louisiana, 1 Drexel Drive, New Orleans, LA 70125, USA |
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| Abstract: | We prove that the solutions of the non-autonomous Lyness equation xn+1=(xn+bn)/xn−1, bn>0, x0>0, x1>0, are bounded away from zero and infinity if the sequence bn is monotonic. We also give an example to show that the solutions need not be bounded even when the sequence bn attains only two values. |
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