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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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