We establish sufficient conditions for the existence and uniqueness of solutions of a countable system of first-order quasilinear partial differential equations multiperiodic in a part of variables.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, No. 2, pp. 280–288, February, 2009.
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Berzhanov, A.B., Kurmangaliev, E.K. Solution of a countable system of quasilinear partial differential equations multiperiodic in a part of variables. Ukr Math J 61, 336–345 (2009). https://doi.org/10.1007/s11253-009-0202-4
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DOI: https://doi.org/10.1007/s11253-009-0202-4