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Constructing Integral Mathematical Models of Two Classes of Nonlinear Spatially Distributed Systems. II. the Case of Continuously Defined External-Dynamic Perturbations*

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Abstract

Problems of pseudoinversion of nonlinear differential models of spatially distributed dynamic systems are solved. Systems whose nonlinearity is formed by the product of linear differential transformations of the function of system’s state or by replacing the coefficients of linear approximation by these transformations are considered. Analytic dependences of the function of system’s state on continuously defined values of external-dynamic factors are constructed.

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References

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Correspondence to V. A. Stoyan.

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Translated from Kibernetika i Sistemnyi Analiz, No. 1, January–February, 2020, pp. 118–128.

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Stoyan, V.A. Constructing Integral Mathematical Models of Two Classes of Nonlinear Spatially Distributed Systems. II. the Case of Continuously Defined External-Dynamic Perturbations*. Cybern Syst Anal 56, 100–109 (2020). https://doi.org/10.1007/s10559-020-00225-w

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  • DOI: https://doi.org/10.1007/s10559-020-00225-w

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