Geodesic
Minimization of functionals with a weak norm on solutions of the degenerate linear equation
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, no. 8 (2011), pp. 36-45

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In the work existence and uniqueness theorems are proved for a class of problems with rigid mixed control of linear distributed systems, not solvable with respect to the time derivative, with weak cost functional with respect to the state function. Abstract results are illustrated by example of the control problem for Sobolev type equation with polynomials of high order elliptic selfadjoint operators.
Keywords: оptimal control, distributed system
Mots-clés : Sobolev type equation. 
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     author = {A. F. Islamova},
     title = {Minimization of functionals with a weak norm on solutions of the degenerate linear equation},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matemati\v{c}eskoe modelirovanie i programmirovanie},
     pages = {36--45},
     publisher = {mathdoc},
     number = {8},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURU_2011_8_a3/}
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A. F. Islamova. Minimization of functionals with a weak norm on solutions of the degenerate linear equation. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, no. 8 (2011), pp. 36-45. http://geodesic.mathdoc.fr/item/VYURU_2011_8_a3/