A Remark on Matrix Equation $x^{\Delta}=A(t)x$ on Small Time Scales.
| Authors | |
|---|---|
| Year of publication | 2004 |
| Type | Article in Periodical |
| Magazine / Source | Journal of Difference Equations and Applications |
| MU Faculty or unit | |
| Citation | ADAMEC, Ladislav. A Remark on Matrix Equation $x^{\Delta}=A(t)x$ on Small Time Scales. Journal of Difference Equations and Applications. Taylor and Francis, 2004, vol. 10, No 12, p. 1107-1117, 1117-1106. ISSN 1023-6198. |
| Field | General mathematics |
| Keywords | time scales |
| Description | In this paper we investigate relations between time independent linear systems on time scales and linear ordinary differential equations. We prove that if the used time scale $\TT$ is in a sense sufficiently small, then the study of such time scale equation $Y^{\Delta}=AY$ could be reduced to study of some ordinary differential equation $Y'=H(t,A)Y$. |
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