THE EXISTENCE OF OPTIMAL SETS FOR LINEAR VARIATIONAL EQUATIONS AND INEQUALITIES

This paper considers an optimal control problem in which the controlled process is described by a linear functional equation in a Hilbert space, and the control action is a change of space. Sufficient conditions for the existence of a solution are obtained. The results are generalized to the case when the controlled process is described by a linear variational inequality.

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Journal
Дифференциальные уравнения
Published
2024-11-13
DOI
https://doi.org/10.31857/s0374064124060055
Primary Topic
Nonlinear Partial Differential Equations
Type
article
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0.00
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article

THE EXISTENCE OF OPTIMAL SETS FOR LINEAR VARIATIONAL EQUATIONS AND INEQUALITIES

V. G. Zamuraev
Дифференциальные уравнения
Nonlinear Partial Differential Equations
article

THE EXISTENCE OF OPTIMAL SETS FOR LINEAR VARIATIONAL EQUATIONS AND INEQUALITIES

V. G. Zamuraev
article en

Abstract

This paper considers an optimal control problem in which the controlled process is described by a linear functional equation in a Hilbert space, and the control action is a change of space. Sufficient conditions for the existence of a solution are obtained. The results are generalized to the case when the controlled process is described by a linear variational inequality.

Дифференциальные уравненияVol. 60(6)
Belarusian Russian University (BY)
Reduced inequalities
Openalex Percentile: Top 67%
Nonlinear Partial Differential Equations
DOIOpen Access PDFOpenAlex
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THE EXISTENCE OF OPTIMAL SETS FOR LINEAR VARIATIONAL EQUATIONS AND INEQUALITIES — V. G. Zamuraev · Дифференциальные уравнения (2024) | TGRS Research Map | TGRS