On certain nonlinear pseudoparabolic variational inequalities without initial conditions

• Date: 1999
• Main Authors: Lavrenyuk, S. P., Ptashnik, B. I., Лавренюк, С. П., Пташник, Б. Й.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 1999
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4616
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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→−∞.