Ukrainian Mathematical Journal

, Volume 42, Issue 10, pp 1222–1228 | Cite as

The reducibility of differential equations with impulses in the space of bounded numerical sequences

  • Yu. V. Teplinskii
  • V. E. Luchik


The analogue of Erugin's theorem is considered for differential equations with impulses in the space of bounded numerical sequences. Sufficient conditions are given for the reduction of the problem regarding the reducibility of the equations of the indicated form with periodic coefficients to the case of finite-dimensional systems of periodic impulse equations of increasing dimensions.


Differential Equation Numerical Sequence Periodic Coefficient Periodic Impulse Impulse Equation 
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Literature cited

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    A. M. Samoilenko and Yu. V. Teplinskii, “On the reducibility of differential equations in the space of bounded numerical sequences,” Ukr. Mat. Zh.,41, No. 2, 194–201 (1989).Google Scholar

Copyright information

© Plenum Publishing Corporation 1991

Authors and Affiliations

  • Yu. V. Teplinskii
    • 1
  • V. E. Luchik
    • 1
  1. 1.Kamenets-Podol'skii Pedagogical InstituteUSSR

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