Abstract
For a mixed problem for a system of definite quasilinear pseudoparabolic equations with deviating argument, we prove a theorem on differential inequalities and existence of a unique regular solution and a comparison theorem and give sufficient conditions of existence of solutions with constant sign.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 11, pp. 1581–1585, November, 1994.
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Marynets', V.V. On a mixed problem for systems of definite quasilinear partial differential equations with deviating argument. Ukr Math J 46, 1750–1756 (1994). https://doi.org/10.1007/BF01058895
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DOI: https://doi.org/10.1007/BF01058895