Geodesic
On the classical solution of the second mixed problem for a one-dimensional wave equation
Trudy Instituta matematiki, Tome 26 (2018) no. 1, pp. 35-42.

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Study the classical solution of the second mixed problem for a one-dimensional wave equation in the case of inhomogeneous matching conditions. Consider the formulation of a problem with conjugation conditions that is convenient for numerical realization. 
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V. I. Korzyuk; S. N. Naumavets; V. A. Sevastyuk. On the classical solution of the second mixed problem for a one-dimensional wave equation. Trudy Instituta matematiki, Tome 26 (2018) no. 1, pp. 35-42. http://geodesic.mathdoc.fr/item/TIMB_2018_26_1_a6/

[1] Korzyuk V. I., Kozlovskaya I. S., Klassicheskie resheniya dlya giperbolicheskikh uravnenii, v desyati chastyakh, v. 2, Minsk, 2017, 52 pp.

[2] Korzyuk V. I., Naumovets S. N., Kozlovskaya I. S., “Klassicheskie resheniya zadach dlya giperbolicheskikh uravnenii”, Studia i materialy EUIE w Warszawie, 2017, no. 2(10), 55–78

[3] Korzyuk V. I., Kozlovskaya I. S., “Ob usloviyakh soglasovaniya v granichnykh zadachakh dlya giperbolicheskikh uravnenii”, Doklady NAN Belarusi, 57:5 (2013), 37–42 | MR | Zbl