Abstract
Abstract Generalized solution of a Cauchy problem given by a nonhomogeneous linear differential system is recovered to this approach. It considers the case of the free term having at most countable number of discontinuity points. The method, called successive approach, uses the solution on the previous interval (except the first one) for the condition on the given interval. The sequence of commands for a computer algebra system to this method is given.
Highlights
Generalized solution of a Cauchy problem given by a nonhomogeneous linear differential system is recovered to this approach
The section aims to point out the alternative and the gap to distributional solutions
The notion of classic solution for a Cauchy problem given by a nonhomogeneous linear differential system is extended
Summary
A nonhomogeneous linear differential system is considered. Not always the situation when the nonhomogeneous term is discontinuous is included (one can consult [3, 8, 9, 10, 11]). When it does, the discontinuities are expressed using the Heaviside function [4, 13]. The possibilities of solving (P CODS) are given, among them the successive approach.
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