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Qualitative Study and Algorithms in the Mathematical Model of Innovation Diffusion

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REFERENCES

  1. S. M. Aseev and S. N. Avvakumov, ”On a class of dynamical models describing the diffusion type economic processes: Attainability domains and their numerical simulation,” In: IIASA -TIT Technical Meeting “Mathematical Models of Techno-Economic Processes: Innovation Dynamics and Institutional Elasticity,” Sept. 2000, IIASA, Laxenburg, Austria.

    Google Scholar 

  2. S. M. Aseev, A. V. Kryazhimskii, and A. Tarasyev, First-Order Necessary Optimality Conditions for a Class of Infinite Horizon Optimal Control Problems. Interim Report IR-01-007, IIASA, Laxenburg, Austria, p. 17.

  3. S. N. Avvakumov and Y. N. Kiselev, ”Constructing the reachability sets in the innovation diffusion problem,” In: Abstracts of Reports, Voronezh Winter Mathematical School “Modern Methods of the Theory of Functions and Adjacent Problems,” Voronezh (2001), pp. 6–7.

  4. S. N. Avvakumov and Y. N. Kiselev, ”The innovation diffusion problem: Qualititive analysis and algorithmic aspects,” Vestn. Mosk. Univ., Ser. 15, Vychisl. Mat. Kibern. (2001)(in press).

  5. S. N. Avvakumov, Y. N. Kiselev, and M. V. Orlov, ”Methods or solving optimal control problems on the basis of the Pontryagin maximum principle,” Tr. Mat. Inst. Ross. Akad. Nauk, 211 (1995), pp. 3–31.

    Google Scholar 

  6. B. W. Char, K. O. Geddes, G. H. Gonnet, B. L. Leong, M. B. Monagan, S. M. Watt, MAPLE V. Language Reference Manual, Springer-Verlag, New York (1991).

    Google Scholar 

  7. G. M. Grossman and E. Helpman, Innovation and Growth in the Global Economy, M.I.T. Press, Cambridge (1991).

    Google Scholar 

  8. L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, and E. F. Mishchenko, Mathematical Theory of Optimal Processes [in Russian ],Moscow (1961).

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Authors
  1. S. N. Avvakumov
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  2. Yu. N. Kiselev
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Avvakumov, S.N., Kiselev, Y.N. Qualitative Study and Algorithms in the Mathematical Model of Innovation Diffusion. Journal of Mathematical Sciences 116, 3657–3672 (2003). https://doi.org/10.1023/A:1024255825249

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