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Article

Gustafson, Grant B. ; Laitoch, Miroslav
The inverse carrier problem. (English). Czechoslovak Mathematical Journal, vol. 52 (2002), issue 2, pp. 439-446
MSC: 34A30, 34A55, 34B05, 34C10, 34C99, 34H05, 90B06, 90B20 | MR 1905450 | Zbl 1023.34007
Keywords:
carrier; associated carrier; inverse carrier problem; second order linear differential equations
Summary:
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.
References:
[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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