2017
Том 69
№ 9

All Issues

Exponential Dichotomy and Bounded Solutions of Differential Equations in the Fréchet Space

Boichuk A. A., Pokutnyi A. A.


Abstract

We establish necessary and sufficient conditions for the existence of bounded solutions of linear differential equations in the Fréchet space. The solutions are constructed with the use of a strong generalized inverse operator.

English version (Springer): Ukrainian Mathematical Journal 66 (2014), no. 12, pp 1781-1792.

Citation Example: Boichuk A. A., Pokutnyi A. A. Exponential Dichotomy and Bounded Solutions of Differential Equations in the Fréchet Space // Ukr. Mat. Zh. - 2014. - 66, № 12. - pp. 1587-1597.