Special-series solution of the first-order linear vector differential equation

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dc.creatorHuang, Xin-Bing
dc.date2005-03-08
dc.date.accessioned2026-07-07T05:17:47Z
dc.date.available2026-07-07T05:17:47Z
dc.descriptionA special series is introduced in this paper to yield solution of the first-order linear vector differential equation. It is proved that if the differential equation satisfied by the first term of this series can be solved exactly, then other terms can be determined by the method of variation of parameters. We point out that the special series will be the solution of the first-order linear vector differential equation if the infinite special series converges. An illustrative example has been given to outline the procedure of our method.
dc.description14 pages, no figures, submitted to J.Differential Equations
dc.identifierhttps://arxiv.org/abs/math/0503158
dc.identifierhttp://arxiv.org/abs/math/0503158
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74434
dc.subjectClassical Analysis and ODEs
dc.titleSpecial-series solution of the first-order linear vector differential equation
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