2017
Том 69
№ 9

All Issues

On the smoothness of solutions of differential equations with a discontinuous right-hand side

Akhmetov M. U.

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Abstract

A method for the investigation of differential equations with a nonclassical right-hand side [1] is applied to the study of the higher-order differentiability of solutions of differential equations with discontinuous right-hand sides with respect to the initial data. We use results from the theory of differential equations with pulse influence [2].

English version (Springer): Ukrainian Mathematical Journal 45 (1993), no. 12, pp 1785-1792.

Citation Example: Akhmetov M. U. On the smoothness of solutions of differential equations with a discontinuous right-hand side // Ukr. Mat. Zh. - 1993. - 45, № 12. - pp. 1587–1594.

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