2017
Том 69
№ 9

All Issues

Cauchy problem for a differential equation in the Banach space with generalized strongly positive operator coefficient

Chaikovs'kyi A. V., Il'chenko Yu. V.

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Abstract

The concept of strongly positive operator is generalized, and properties of the operators introduced are analyzed. The solutions of the Cauchy problem for a linear inhomogeneous differential equation with generalized strongly positive operator coefficient are found.

English version (Springer): Ukrainian Mathematical Journal 63 (2011), no. 8, pp 1213-1233.

Citation Example: Chaikovs'kyi A. V., Il'chenko Yu. V. Cauchy problem for a differential equation in the Banach space with generalized strongly positive operator coefficient // Ukr. Mat. Zh. - 2011. - 63, № 8. - pp. 1053-1070.

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