Abstract
A periodic problem for a linear differential equation of the second order is reduced to a periodic problem for a differential equation of the first order, but with deviation argument. We indicate the cases when the characteristic numbers are determined explicitly. This paper is the continuation of investigations commenced in “Differents. Uravneniya,” 44 (4) (2008).
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V. S. Mokeichev, Differential Equations with Deviation Arguments (Kazansk. Univ., Kazan, 1985) [in Russian].
V. S. Mokeichev, “Closed Form and Multiplicity of Characteristic Numbers of Periodic Problems for Differential Equations,” Differents. Uravneniya 44(4), 455–466 (2008).
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Original Russian Text © V.S. Mokeichev, 2010, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, No. 10, pp. 44–50.
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Mokeichev, V.S. Explicit form of characteristic numbers of a periodic problem. Russ Math. 54, 38–43 (2010). https://doi.org/10.3103/S1066369X1010004X
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DOI: https://doi.org/10.3103/S1066369X1010004X