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On the solvability of mixed problems for one-dimensional quasilinear hyperbolic equations

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Literature cited

  1. M. Krzyzanski and I. Schauder, “Quasilineare differentialgeiichungen zweiter Ordnung vom hyperbolischen typus gemischte randwertaufgaben,” Studia Matematica,6 (1936).

  2. V. N. Gol'dberg and Yu. I. Neimark, “Correct formulations of nonlinear mixed problems for the wave equation in the plane,” Matem. Sbornik,67, No. 109 (1965).

  3. V. A. Pogorelenko and P. E. Sobolevskii, “Hyperbolic equations in Banach space,” Uspekhi Matem. Nauk SSSR, No. 1 (1967).

  4. P. E. Sobolevskii and V. A. Pogorelenko, “Hyperbolic equations in Hilbert space,” Sibirsk. Matem. Zh.,8, No. 1 (1967).

  5. M. A. Krasnosel'skii, P. P. Zabreiko, E. I. Pustyl'nik and P. E. Soboleyskii, Integral Operators in Spaces of Summable Functions [in Russian], Nauka, Moscow (1966).

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 22, No. 1, pp. 114–121, January–February, 1969.

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Sobolevskii, P.E., Pogorelenko, V.A. On the solvability of mixed problems for one-dimensional quasilinear hyperbolic equations. Ukr Math J 22, 98–103 (1970). https://doi.org/10.1007/BF01086708

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  • DOI: https://doi.org/10.1007/BF01086708

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