Abstract
We consider a nonlinear pseudoparabolic variational inequality in a tube domain semibounded in variablet. Under certain conditions imposed on coefficients of the inequality, we prove the theorems of existence and uniqueness of a solution without any restriction on its behavior ast→−∞.
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Lvov University, Lvov. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 3, pp. 328–337, March, 1999.
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Lavrenyuk, S.P., Ptashnyk, M.B. On certain nonlinear pseudoparabolic variational inequalities without initial conditions. Ukr Math J 51, 366–376 (1999). https://doi.org/10.1007/BF02592474
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DOI: https://doi.org/10.1007/BF02592474