Literature cited
V. F. Butuzov, “Corner boundary layer in mixed singularly perturbed problems for hyperbolic equations,” Mat. Sb.,104, No. 3, 460–485 (1977).
V. N. Tsymbal, “Corner boundary layer in a mixed singularly perturbed problem for a hyperbolic equation,” in: Analytic Methods in Nonlinear Mechanics [in Russian], Inst. Mat. Akad. Nauk Ukr. SSR, Kiev (1981), pp. 148–152.
V. F. Butuzov and Yu. P. Udodov, “Asymptotic solution of a system of singularly perturbed equations of elliptic type with corner boundary layer,” Zh. Vychisl. Mat. Mat. Fiz.,21, No. 3, 665–677 (1981).
R. Courant, Partial Differential Equations [Russian translation], Mir, Moscow (1964).
T. N. Nesterova, “A method of splicing asymptotic expansions for the solutions of a hyperbolic equation with a small parameter,” Mat. Sb.,120, No. 4, 546–555 (1983).
M. I. Vishik and L. A. Lyusternik, “Regular degeneration and boundary layer for linear differential equations with a small parameter,” Usp. Mat. Nauk,12, No. 5, 3–122 (1957).
A. B. Vasil'eva and V. F. Butuzov, Asymptotic Decompositions of Solutions of Singularly Perturbed Equations [in Russian], Nauka, Moscow (1973).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 37, No. 4, pp. 481–487, July–August, 1985.
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Flyud, V.M., Tsymbal, V.N. Asymptotics of the solution of a mixed problem for a singularly perturbed weakly constrained hyperbolic system. Ukr Math J 37, 385–390 (1985). https://doi.org/10.1007/BF01055953
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DOI: https://doi.org/10.1007/BF01055953