Kotarski, W.; El-Saify, H. A.; Bahaa, G. M. Optimal control problem for a hyperbolic system with mixed control-state constraints involving operator of infinite order. (English) Zbl 1009.49021 Int. J. Pure Appl. Math. 1, No. 3, 241-254 (2002). The paper considers the problem of minimizing a convex functional over pairs \((y,u)\) from a convex set subject to the state equation \[ y_{tt}(x,t)+ Ay(x,t)= u(x,t),\quad (x,t)\in \mathbb{R}^n\times (0,T), \] and standard initial and boundary conitions. The main feature is that the operator \(A\) is an infinite order selfadjoint elliptic operator. Necessary and sufficient optimality conditions are given. Reviewer: Uldis Raitums (Riga) Cited in 1 ReviewCited in 4 Documents MSC: 49K20 Optimality conditions for problems involving partial differential equations 49J20 Existence theories for optimal control problems involving partial differential equations 93C20 Control/observation systems governed by partial differential equations 35K20 Initial-boundary value problems for second-order parabolic equations Keywords:optimal control; infinite order elliptic operator; optimality conditions PDFBibTeX XMLCite \textit{W. Kotarski} et al., Int. J. Pure Appl. Math. 1, No. 3, 241--254 (2002; Zbl 1009.49021)