2017
Том 69
№ 6

All Issues

On solutions defined on an axis for differential equations with shifts of the argument

Chaikovs'kyi A. V.

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Abstract

We consider linear first-order differential equations with shifts of arguments with respect to functions with values in a Banach space. Sufficient conditions for the existence of nontrivial solutions of homogeneous equations are obtained. Ordinary differential equations are constructed for which all solutions defined on an axis are solutions of a given equation with shifts of the argument.

English version (Springer): Ukrainian Mathematical Journal 63 (2011), no. 9, pp 1470-1477.

Citation Example: Chaikovs'kyi A. V. On solutions defined on an axis for differential equations with shifts of the argument // Ukr. Mat. Zh. - 2011. - 63, № 9. - pp. 1290-1296.

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