On the existence of solutions of operator differential equations

• Date: 2004
• Main Authors: Solonukha, O.V., Солонуха, О. В.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2004
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3802
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We consider nonlinear equations of parabolic type in reflexive Banach spaces. We present sufficient conditions for the existence of solutions of these equations. We use methods for the investigation of problems with operators of pseudomonotone (on a subspace) type. In addition, a sufficient criterio...