Nonlinear Mathematical Model of Interference of Fundamental and Applied Researches
Chilachava Temur,
Gvinjilia Tsira
Issue:
Volume 2, Issue 6, November 2017
Pages:
110-115
Received:
23 August 2017
Accepted:
25 September 2017
Published:
2 November 2017
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.
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 definite...
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