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Literature Cited
J. M. Greeberg, R. C. MacCamy, and V. J. Mizel, “On the existence, uniqueness and stability of solutions of the equations σ1(ux)uxx+λuxtx=ρ0utt,” J. Math. Mech.,17, No. 7, 707–728 (1968).
R. C. MacCamy, “Existence, uniqueness and stability of solutions of the equation utt=(∂/∂x)(σ(ux)+λ(uxuxt),” Indiana Univ. Math. J.,20, No. 3, 231–238 (1970).
A. I. Kozhanov, “A mixed problem for a certain class of equations of nonclassical type,” Diff. Uravn.,15, No. 2, 272–280 (1979).
Yu. Ya. Belov and N. N. Yanenko, “On a certain regularization of the Burgers equations,” Dokl. Akad. Nauk SSSR,246, No. 3, 521–524 (1979).
A. V. Kozhikhov and V. B. Nikolaev, “On the correctness of the boundary-value problems for equations of a viscous gas with a nonmonotonic functions of state,” Chislennye Metody Mekh. Sploshnoi Sredy,10, No. 2, 77–84 (1979).
Y. Ebihara, “Some evolution equations with the quasilinear strong dissipation,” J. Math. Pures Appl.,58, No. 2, 229–245 (1979).
O. A. Ladyzhenskaya, V. A. Solonnikov, and N. N. Ural'tseva, Linear and Quasilinear Equations of Parabolic Type, Amer. Math. Soc. (1968).
Additional information
Institute of Theoretical and Applied Mechanics, Siberian Branch, Academy of Sciences of the USSR, Novosibirsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 22, No. 6, pp. 81–86, November–December, 1981.
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Kozhanov, A.I., Lar'kin, N.A. & Yanenko, N.N. A mixed problem for a class of equations of third order. Sib Math J 22, 867–872 (1981). https://doi.org/10.1007/BF00968056
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DOI: https://doi.org/10.1007/BF00968056