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Tr. Inst. Mat., 2011, Volume 19, Number 1, Pages 62–70 (Mi timb140)  

This article is cited in 3 scientific papers (total in 3 papers)

Two-point boundary problem for string oscillation equation with given velocity in arbitrary point of time. II

V. I. Korzyuk, I. S. Kozlovskaya

Belarusian State University

Abstract: Boundary problem for string oscillation equation in half-string with given velocity at certain time point of string oscillation is considered. In the first part classical solutions for some special cases of given time and velocity of string points for the problem under discussion were obtained. Present article completes analysis of equation for the arbitrary time point in which velocity of string is specified. For this case analytical solution of boundary condition is derived.

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UDC: 517.956.32
Received: 20.09.2010

Citation: V. I. Korzyuk, I. S. Kozlovskaya, “Two-point boundary problem for string oscillation equation with given velocity in arbitrary point of time. II”, Tr. Inst. Mat., 19:1 (2011), 62–70

Citation in format AMSBIB
\Bibitem{KorKoz11}
\by V.~I.~Korzyuk, I.~S.~Kozlovskaya
\paper Two-point boundary problem for string oscillation equation with given velocity in arbitrary point of time.~II
\jour Tr. Inst. Mat.
\yr 2011
\vol 19
\issue 1
\pages 62--70
\mathnet{http://mi.mathnet.ru/timb140}


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    This publication is cited in the following articles:
    1. E. I. Moiseev, A. A. Kholomeeva, A. A. Frolov, “Granichnoe upravlenie smescheniem protsessom kolebanii pri granichnom uslovii tipa tormozheniya za vremya, menshee kriticheskogo”, Materialy mezhdunarodnoi konferentsii«InternationalConference onMathematicalModellinginAppliedSciences, ICMMAS-17», Sankt-Peterburgskii politekhnicheskii universitet,2428 iyulya2017 g., Itogi nauki i tekhn. Ser. Sovrem. mat. i ee pril. Temat. obz., 160, VINITI RAN, M., 2019, 74–84  mathnet  mathscinet
    2. V. R. Barsegyan, “Zadacha upravleniya kolebaniyami struny s nerazdelennymi usloviyami na skorosti tochek progiba v promezhutochnye momenty vremeni”, Tr. IMM UrO RAN, 25, no. 3, 2019, 24–33  mathnet  crossref  elib
    3. V. R. Barsegyan, “Zadacha optimalnogo upravleniya kolebaniyami struny s nerazdelennymi usloviyami na funktsii sostoyaniya v zadannye promezhutochnye momenty vremeni”, Avtomat. i telemekh., 2020, no. 2, 36–47  mathnet  crossref
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