2017
Том 69
№ 7

All Issues

On the expansion of solutions to differential equations with discontinuous right-hand side in a series in initial data and parameters

Akhmetov M. U.

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Abstract

The conditions under which the solutions of equations with discontinuous right-hand sides depend on the initial data and parameters analytically are investigated. A definition is introduced, which specifies this dependence in the case where a surface of discontinuity exists.

English version (Springer): Ukrainian Mathematical Journal 45 (1993), no. 5, pp 786-789.

Citation Example: Akhmetov M. U. On the expansion of solutions to differential equations with discontinuous right-hand side in a series in initial data and parameters // Ukr. Mat. Zh. - 1993. - 45, № 5. - pp. 715–717.

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