On the exponential dichotomy of pulse evolution systems
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.