N-Acetylation of 1, 3-Diazines

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On the nature of solutions of the difference equation $mathbf{x_{n+1}=x_{n}x_{n-3}-1}$

We investigate the long-term behavior of solutions of the difference equation[ x_{n+1}=x_{n}x_{n-3}-1 ,, n=0 ,, 1 ,, ldots ,, ]noindent 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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7. FUWA, K., WACKER, W. E. C., DRUYAN, R., BARTHOLOMY, A. F., AND VALLEE, B. L., Proc. Katl. Acad. Sci. U. S., 46, 1198 (1960). MAHLER, H. R., DUTTON, G., AND MEHROTRA, B. D., Biochim. et Btiphys. Acta, 68, 199 (1963). 8. 9. FRESCO, J. R., ALBERT, B. M., AND DOTY, P., Nature, 188, 98 (1960). BRUNNGRABER, E. F., Biochem. and Biophys. Research Communs., 8, 1 (1962). 10. VON EHRENSTEIN,G., AND LIP...

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on the nature of solutions of the difference equation $mathbf{x_{n+1}=x_{n}x_{n-3}-1}$

we investigate the long-term behavior of solutions of the difference equation[ x_{n+1}=x_{n}x_{n-3}-1 ,, n=0 ,, 1 ,, ldots ,, ]noindent 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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ژورنال

عنوان ژورنال: YAKUGAKU ZASSHI

سال: 1977

ISSN: 0031-6903,1347-5231

DOI: 10.1248/yakushi1947.97.9_962