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Analysis of the trajectory set of nonlinear dynamics: Estimates of solutions and comparison principle

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Abstract

For the solution set of differential equations with the Hukuhara derivative, we obtain estimates for solutions and main theorems of the comparison principle on the basis of an auxiliary matrix-valued function.

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References

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Authors and Affiliations

  1. Institute of Mechanics, National Academy of Sciences, Kiev, Ukraine

    A. A. Martynyuk & Yu. A. Martynyuk-Chernienko

Authors
  1. A. A. Martynyuk
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  2. Yu. A. Martynyuk-Chernienko
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Additional information

Original Russian Text © A.A. Martynyuk, Yu.A. Martynyuk-Chernienko, 2012, published in Differentsial’nye Uravneniya, 2012, Vol. 48, No. 10, pp. 1395–1403.

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Martynyuk, A.A., Martynyuk-Chernienko, Y.A. Analysis of the trajectory set of nonlinear dynamics: Estimates of solutions and comparison principle. Diff Equat 48, 1375–1383 (2012). https://doi.org/10.1134/S0012266112100072

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  • DOI: https://doi.org/10.1134/S0012266112100072

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