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Pseudoparabolic variational inequalities without initial conditions

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Abstract

We consider a pseudoparabolic variational inequality in a cylindrical domain semibounded in a variable t. Under certain conditions imposed on the coefficients of the inequality, we prove theorems on the unique existence of a solution for a class of functions with exponential growth as t → ∞.

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Authors and Affiliations

  1. Lvov University, Lvov

    S. P. Lavrenyuk & M. B. Ptashnyk

Authors
  1. S. P. Lavrenyuk
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  2. M. B. Ptashnyk
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 7, pp. 919–929, July, 1998.

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Lavrenyuk, S.P., Ptashnyk, M.B. Pseudoparabolic variational inequalities without initial conditions. Ukr Math J 50, 1045–1057 (1998). https://doi.org/10.1007/BF02528833

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  • DOI: https://doi.org/10.1007/BF02528833

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