2017
Том 69
№ 9

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On the exponential dichotomy of pulse evolution systems

Tkachenko V. I.

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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.

English version (Springer): Ukrainian Mathematical Journal 46 (1994), no. 4, pp 441-448.

Citation Example: Tkachenko V. I. On the exponential dichotomy of pulse evolution systems // Ukr. Mat. Zh. - 1994. - 46, № 4. - pp. 418–424.

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