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Journal of Automation and Information Sciences
SJR: 0.238 SNIP: 0.464 CiteScore™: 0.27

ISSN Imprimir: 1064-2315
ISSN En Línea: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v50.i8.60
pages 66-76

Method of Composition for Systems with Distributed Parameters

Victor G. Bondarenko
National Technical University of Ukraine "Igor Sikorsky Kiev Polytechnic Institute", Kiev

SINOPSIS

The method for solving the Cauchy problem of reaction-diffusion equations, which is a nonlinear version of the Trotter–Daletskiy formula, has been justified. The proposed method of composition contributes to the selection of an adequate mathematical model for an object with distributed parameters.

REFERENCIAS

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  6. Medvinskiy A.B., Petrovskiy S.V., Tikhonova I.A., Tikhonov D.A. et al., Formation of spatio-temporal structures, fractals and chaos in conceptual ecological models on the example of the dynamics of interacting populations of plankton and fish, Uspekhi Fizicheskikh Nauk, 2002, 172, No. 1, 31–66.

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  13. Bondarenko V.G., Prokopenko Yu.Yu., Barrier functions for a class of semilinear parabolic equations, Ukrainskiy matematicheskiy zhurnal, 2008, 60, No. 11, 1449–1456.


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