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The problem of starting control with two intermediate moments of observation in the boundary value problem for the hyperbolic equation
Author(s) -
Mardanov M. J.,
Guliyev H. F.,
Safarova Z. R.
Publication year - 2020
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.2641
Subject(s) - mathematics , quadratic equation , hyperbolic partial differential equation , boundary value problem , mathematical analysis , variational inequality , order (exchange) , boundary (topology) , value (mathematics) , partial differential equation , geometry , statistics , finance , economics
Summary In this article, a starting control problem with two intermediate moments of observation in the mixed linear problem for the second‐order hyperbolic equation with quadratic functional is studied. The necessary and sufficient optimality conditions are obtained in the form of variational inequality.