Ukrainian Mathematical Journal

, Volume 51, Issue 3, pp 366–376 | Cite as

On certain nonlinear pseudoparabolic variational inequalities without initial conditions

  • S. P. Lavrenyuk
  • M. B. Ptashnyk


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→−∞.


Variational Inequality Heat Transfer Nonlinear Parabolic Equation Nonlocat Condition Double Porosity 
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© Kluwer Academic/Plenum Publishers 1999

Authors and Affiliations

  • S. P. Lavrenyuk
  • M. B. Ptashnyk

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