Boundary-value problems for stationary Hamilton-Jacobi and Bellman equations

• Date: 1997
• Main Authors: Maslov, V. P., Samborsky, S. N., Маслов, В. П., Самборский, С. Н.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1997
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5016
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We introduce solutions of boundary-value problems for the stationary Hamilton-Jacobi and Bellman equations in functional spaces (semimodules) with a special algebraic structure adapted to these problems. In these spaces, we obtain representations of solutions in terms of “basic” ones and prove a the...