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

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.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 5, pp. 715–717, May, 1993.