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Nonlinear Mathematical Model of Interference of Fundamental and Applied Researches

Received: 23 August 2017     Accepted: 25 September 2017     Published: 2 November 2017
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Abstract

In work the new nonlinear continuous mathematical model of interference of fundamental and applied researches on the example of one, perhaps closed for external customers, of scientifically - research institute (micro-model) is considered. For a special case, Cauchy's problem for nonlinear system of differential equations of first order is definitely decided analytically. In more general case based on Bendikson's criteria the theorem of not existence in the first quarter of the phase plane of solutions of closed integral curves is proved. Conditions on model parameters in case of which existence of limited solutions of system of nonlinear differential equations is possible are found.

Published in International Journal of Systems Science and Applied Mathematics (Volume 2, Issue 6)
DOI 10.11648/j.ijssam.20170206.11
Page(s) 110-115
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2017. Published by Science Publishing Group

Keywords

Nonlinear Mathematical Model, Fundamental and Applied Researches, Phase Plane, Bendikson's Criteria

References
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    Chilachava Temur, Gvinjilia Tsira. (2017). Nonlinear Mathematical Model of Interference of Fundamental and Applied Researches. International Journal of Systems Science and Applied Mathematics, 2(6), 110-115. https://doi.org/10.11648/j.ijssam.20170206.11

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    ACS Style

    Chilachava Temur; Gvinjilia Tsira. Nonlinear Mathematical Model of Interference of Fundamental and Applied Researches. Int. J. Syst. Sci. Appl. Math. 2017, 2(6), 110-115. doi: 10.11648/j.ijssam.20170206.11

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    AMA Style

    Chilachava Temur, Gvinjilia Tsira. Nonlinear Mathematical Model of Interference of Fundamental and Applied Researches. Int J Syst Sci Appl Math. 2017;2(6):110-115. doi: 10.11648/j.ijssam.20170206.11

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  • @article{10.11648/j.ijssam.20170206.11,
      author = {Chilachava Temur and Gvinjilia Tsira},
      title = {Nonlinear Mathematical Model of Interference of Fundamental and Applied Researches},
      journal = {International Journal of Systems Science and Applied Mathematics},
      volume = {2},
      number = {6},
      pages = {110-115},
      doi = {10.11648/j.ijssam.20170206.11},
      url = {https://doi.org/10.11648/j.ijssam.20170206.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijssam.20170206.11},
      abstract = {In work the new nonlinear continuous mathematical model of interference of fundamental and applied researches on the example of one, perhaps closed for external customers, of scientifically - research institute (micro-model) is considered. For a special case, Cauchy's problem for nonlinear system of differential equations of first order is definitely decided analytically. In more general case based on Bendikson's criteria the theorem of not existence in the first quarter of the phase plane of solutions of closed integral curves is proved. Conditions on model parameters in case of which existence of limited solutions of system of nonlinear differential equations is possible are found.},
     year = {2017}
    }
    

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    T1  - Nonlinear Mathematical Model of Interference of Fundamental and Applied Researches
    AU  - Chilachava Temur
    AU  - Gvinjilia Tsira
    Y1  - 2017/11/02
    PY  - 2017
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    DO  - 10.11648/j.ijssam.20170206.11
    T2  - International Journal of Systems Science and Applied Mathematics
    JF  - International Journal of Systems Science and Applied Mathematics
    JO  - International Journal of Systems Science and Applied Mathematics
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    PB  - Science Publishing Group
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    UR  - https://doi.org/10.11648/j.ijssam.20170206.11
    AB  - In work the new nonlinear continuous mathematical model of interference of fundamental and applied researches on the example of one, perhaps closed for external customers, of scientifically - research institute (micro-model) is considered. For a special case, Cauchy's problem for nonlinear system of differential equations of first order is definitely decided analytically. In more general case based on Bendikson's criteria the theorem of not existence in the first quarter of the phase plane of solutions of closed integral curves is proved. Conditions on model parameters in case of which existence of limited solutions of system of nonlinear differential equations is possible are found.
    VL  - 2
    IS  - 6
    ER  - 

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Author Information
  • Departament of Applied Mathematics, Sokhumi State University, Tbilisi, Georgia

  • Department of Exact and Natural Sciences, Batumi State Maritime Academy, Batumi, Georgia

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