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On a comparison method for pulse systems in the space Rn

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Ukrainian Mathematical Journal Aims and scope

Abstract

A method for the study of differential equations with pulse influence on the surfaces, which was realized in [1] for a bounded domain in the phase space, is now extended to the entire spaceR n. We prove theorems on the existence of integral surfaces in the critical case and justify the reduction principle for these equations.

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References

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Authors and Affiliations

  1. Kiev University, Kiev

    M. U. Akhmetov & N. A. Perestyuk

Authors
  1. M. U. Akhmetov
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  2. N. A. Perestyuk
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 6, pp. 753–762, June, 1993.

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Akhmetov, M.U., Perestyuk, N.A. On a comparison method for pulse systems in the space Rn . Ukr Math J 45, 826–836 (1993). https://doi.org/10.1007/BF01061435

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  • DOI: https://doi.org/10.1007/BF01061435

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