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 Tr. Inst. Mat., 2012, Volume 20, Number 2, Pages 64–74 (Mi timb174)

Classical solution of the boundary-value problem for hyperbolic equation in half-region

V. I. Korzyukab, E. S. Chebab, A. A. Karpechinaab

a Belarusian State University, Minsk
b Institute of Mathematics of the National Academy of Sciences of Belarus

Abstract: Using method of characteristics the analytical solution of the first problem for the hyperbolic equation $(\partial_t-a^{(1)}\partial_x+b^{(1)})(\partial_t-a^{(2)}\partial_x+b^{(2)})u=f(t,x),$ is under construction. Conditions of the coordination of initial and boundary condition are deduced.

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Citation: V. I. Korzyuk, E. S. Cheb, A. A. Karpechina, “Classical solution of the boundary-value problem for hyperbolic equation in half-region”, Tr. Inst. Mat., 20:2 (2012), 64–74

Citation in format AMSBIB
\Bibitem{KorCheKar12} \by V.~I.~Korzyuk, E.~S.~Cheb, A.~A.~Karpechina \paper Classical solution of the boundary-value problem for hyperbolic equation in half-region \jour Tr. Inst. Mat. \yr 2012 \vol 20 \issue 2 \pages 64--74 \mathnet{http://mi.mathnet.ru/timb174}