On certain nonlinear pseudoparabolic variational inequalities without initial conditions

S. P. Lavrenyuk; Mariya Ptashnyk

doi:10.1007/BF02592474

On certain nonlinear pseudoparabolic variational inequalities without initial conditions

S. P. Lavrenyuk, Mariya Ptashnyk

Research output: Contribution to journal › Article › peer-review

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Abstract

We consider a nonlinear pseudoparabolic variational inequality in a tube domain semibounded in variable t. 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 as t →;-∞.

Original language	English
Pages (from-to)	366-376
Number of pages	11
Journal	Ukrainian Mathematical Journal
Volume	51
Issue number	3
DOIs	https://doi.org/10.1007/BF02592474
Publication status	Published - Mar 1999

ASJC Scopus subject areas

General Mathematics

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title = "On certain nonlinear pseudoparabolic variational inequalities without initial conditions",

abstract = "We consider a nonlinear pseudoparabolic variational inequality in a tube domain semibounded in variable t. 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 as t →;-∞.",

author = "Lavrenyuk, {S. P.} and Mariya Ptashnyk",

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AB - We consider a nonlinear pseudoparabolic variational inequality in a tube domain semibounded in variable t. 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 as t →;-∞.

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JO - Ukrainian Mathematical Journal

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On certain nonlinear pseudoparabolic variational inequalities without initial conditions

Abstract

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