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On the exponential dichotomy of pulse evolution systems

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Abstract

The equivalence of regularity and exponential dichotomy is established for linear pulse differential equations with unbounded operators in a Banach space. The separatrix manifolds of a linear pulse system exponentially dichotomous on a semiaxis are studied in a finite-dimensional space. The conditions of weak regularity of this system are given.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    V. I. Tkachenko

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  1. V. I. Tkachenko
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 4, pp. 418–424, April, 1994.

This work was supported by Ukrainian State Committee for Science and Technology (the Foundation for Fundamental Studies).

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Tkachenko, V.I. On the exponential dichotomy of pulse evolution systems. Ukr Math J 46, 441–448 (1994). https://doi.org/10.1007/BF01060414

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  • DOI: https://doi.org/10.1007/BF01060414

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