On the Limit of Solutions of Differential-difference Equations as the Retardation Approaches Zero.

نویسندگان

  • R Bellman
  • K L Cooke
چکیده

* This investigation was supported by grants from the National Science Foundation and the U. S. Public Health Service (RG-5652). t Postdoctoral fellow of the National Foundation. I Suskind, S. R., C. Yanofsky, and D. M. Bonner, these PROCEEDINGS, 41, 577 (1955). 2 Lerner, P., and C. Yanofsky, J. Bact., 74, 494 (1957). 3 Yanofsky, C., Biochim. Biophys. Acta, 31, 408 (1959). 4 Crawford, I. P., and C. Yanofsky, these PROCEEDINGS, 44, 1161 (1958). 6 Yanofsky, C., and M. Rachmeler, Biochim. et Biophys. Acta, 28, 640 (1958). 6 Yanofsky, C., and J. Stadler, these PROCEEDINGS, 44, 245 (1958). 7 Yanofsky, C., and E. Lennox, manuscript submitted for publication. 8 Yanofsky, C., J. Bact., 68, 577 (1954). 9 Lowry, 0. H., N. J. Rosebrough, A. L. Farr, and R. J. Randall, J. Biol. Chem., 193, 265 (1951). 10 Suskind, S. R., J. Bact., 74, 308 (1957). 11 Eisenstein, R., and C. Yanofsky, manuscript in preparation. 12See papers by Gorini and Maas, Vogel, and Magasanik in The Chemical Basis of Development (Baltimore: Johns Hopkins Press, 1958), and by Pardee, Jacob and Monod in Compt. rend., 246, 3125 (1958). 13 Woodward, D. O., C. W. H. Partridge, and N. H. Giles, these PROCEEDINGS 44, 1237 (1958) 14 Lacy, A. M., and D. M. Bonner. Proceedings of the 10th International Congress of Genetics, 157, 1958. '5 Pateman, J. A., and J. R. S. Fincham, Heredity, 12, 317 (1958). 16 Catcheside, D. G., and A. Overton, Cold Spring Harbor Symposium on Quantitative Biology, 23, 137 (1958). 17 Evidence has not been presented as yet indicating whether the active protein detected in heterocaryons is identical with the wild type enzyme. 18 Singer, S. J., and H. A. Itano, these PROCEEDINGS, 45, 174 (1959). 19 Crick, F. H. C., Symposia of the Society for Experimental Biology, 12, 138 (1958). 20 Benzer, S., in The Chemical Basis of Heredity, ed. McElroy and Glass (Baltimore: John Hopkins Press, 1957). 21 Benzer, S., and E. Freese, these PROCEEDINGS, 44, 112 (1958). 22 Ingram, V. M., Nature, 180, 326 (1957). 23 Hunt, J. A., and V. M. Ingram, Nature, 181, 1062 (1958).

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عنوان ژورنال:
  • Proceedings of the National Academy of Sciences of the United States of America

دوره 45 7  شماره 

صفحات  -

تاریخ انتشار 1959