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carrier; associated carrier; inverse carrier problem; second order linear differential equations
The problem was motivated by Borůvka’s definitions of the carrier and the associated carrier. The inverse carrier problem is precisely defined and partially solved. Examples are given.
[1] O.  Borůvka: Linear Differential Transformations of the Second Order. The English University Press, London, 1971. MR 0463539
[2] P.  Hartman: Ordinary Differential Equations. Wiley, New York, 1964. MR 0171038 | Zbl 0125.32102
[3] M.  Laitoch: Homogene lineare zu sich selbst begleitende Differentialgleichung zweiter Ordnung. Acta Univ.  Palackianae Olomucensis F.R.N. 33 (1971), 61–72. MR 0320410 | Zbl 0298.34006
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