V. I. Korzyuk, I. S. Kozlovskaja, S. N. Naumavets, “Classical solutions of mixed problems for a one-dimensional wave equation in the class of smooth high-order functions”, Tr. Inst. Mat., 28:1-2 (2020), 32

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Trudy Instituta Matematiki, 2020, Volume 28, Number 1-2, Pages 32–39 (Mi timb321)

Classical solutions of mixed problems for a one-dimensional wave equation in the class of smooth high-order functions

V. I. Korzyuk^abc, I. S. Kozlovskaja^abc, S. N. Naumavets^abc

^a Belarusian State University, Minsk
^b Brest State Technical University
^c Institute of Mathematics of the National Academy of Sciences of Belarus, Minsk

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Abstract: In this article, the classical solutions of the first and second mixed problems for a one-dimensional wave equation are studied. These problems are considered in the class of continuously differentiable functions of order greater than two. The classical solutions of the problems posed are obtained in an analytical form. The uniqueness of the solutions found is proved.

Received: 03.05.2019

Document Type: Article

UDC: 517.958

Language: Russian

Citation: V. I. Korzyuk, I. S. Kozlovskaja, S. N. Naumavets, “Classical solutions of mixed problems for a one-dimensional wave equation in the class of smooth high-order functions”, Tr. Inst. Mat., 28:1-2 (2020), 32–39

Citation in format AMSBIB

\Bibitem{KorKozNau20}

\by V.~I.~Korzyuk, I.~S.~Kozlovskaja, S.~N.~Naumavets

\paper Classical solutions of mixed problems for a one-dimensional wave equation in the class of smooth high-order functions

\jour Tr. Inst. Mat.

\yr 2020

\vol 28

\issue 1-2

\pages 32--39

\mathnet{http://mi.mathnet.ru/timb321}

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