TY - CONF A1 - Lykina, Valeriya T1 - Existence Theorem for Infinite Horizon Optimal Control Problems with Mixed Control-State Isoperimetrical Constraint T2 - Large-Scale Scientific Computing, 11th International Conference, LSSC 2017, Sozopol, Bulgaria, June 5-9, 2017 N2 - In this paper a class of infinite horizon optimal control problems with a mixed control-state isoperimetrical constraint, also interpreted as a budget constraint, is considered. Herein a linear both in the state and in the control dynamics is allowed. The problem setting includes a weighted Sobolev space as the state space. For this class of problems, we establish an existence theorem. The proved theoretical result is applied to a mixed control-state budget constrained advertisement model. KW - infinite horizon KW - existence theorem KW - weighted sobolev spaces Y1 - 2018 UR - https://opus4.kobv.de/opus4-UBICO/frontdoor/index/index/docId/21854 SN - 978-3-319-73440-8 SN - 978-3-319-73441-5 SP - 228 EP - 236 PB - Springer CY - Cham ER -