Oxidation of N-Alkylhydroxylamines. III. Reaction of N-Alkylhydroxylamines with 1, 1-Diphenyl-2-picrylhydrazyl
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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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We here consider Elementary Net Systems (ENI-systems) with inhibitor arcs executed according to the semantics, and transition systems generated by them (TSENI). The relationship between nets and their transition systems is established via the notion of a region. We introduce morphisms both for the ENI-systems, and for the TSENI transition systems. We then de ne the category of ENI-systems ( ), ...
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ژورنال
عنوان ژورنال: Chemical and Pharmaceutical Bulletin
سال: 1973
ISSN: 0009-2363,1347-5223
DOI: 10.1248/cpb.21.415