On certain nonlinear pseudoparabolic variational inequalities without initial conditions

• Datum: 1999
• Hauptverfasser: Lavrenyuk, S. P., Ptashnik, B. I., Лавренюк, С. П., Пташник, Б. Й.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1999
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4616
• Назва журналу: 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→−∞.