Cover Image

Optimal control of Goursat–Darboux-type polyhedral differential inclusions

UDC 517.96, 517.97 We study the problem of optimal control of the Goursat–Darboux-type differential inclusions (DFIs) given by polyhedral set-valued mappings and, for this purpose, pose an auxiliary problem with discrete Goursat–Darboux inclusion. By using the Farkas theorem, we compute locally adjo...

Full description

Saved in:

Bibliographic Details
Date:	2026
Main Author:	Mahmudov, Elimhan N.
Format:	Article
Language:	English
Published:	Institute of Mathematics, NAS of Ukraine 2026
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/9377
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

Goursat-Type Problem for a Higher-Order Equation
by: Sh. Sh. Jusubov
Published: (2013)

Goursat-Type Problem for a Higher-Order Equation
by: Yusubov, Sh. Sh., et al.
Published: (2013)

Polyhedral coherent risk measures and robust optimization
by: V. S. Kiriljuk
Published: (2019)

Polyhedral spherical configurations in discrete optimization problem
by: S. V. Jakovlev, et al.
Published: (2019)

Polyhedral shape of mineral inclusions in diamond crystals according to goniometry data
by: V. M. Kvasnytsya
Published: (2024)

On Polyhedral Coherent Risk Measures and Portfolio Optimization Problems
by: V. S. Kyryliuk
Published: (2022)

Optimized Layout of Spherical Objects in a Polyhedral Domain
by: Ye. Romanova, et al.
Published: (2020)

Properties of combinatorial optimization problems over polyhedral-spherical sets
by: S. V. Jakovlev, et al.
Published: (2018)

Structure of Binary Darboux-Type Transformations for Hermitian Adjoint Differential Operators
by: Prykarpatsky, A. K., et al.
Published: (2004)

Isomorphically Polyhedral Banach Spaces
by: V. P. Fonf, et al.
Published: (2013)

Isomorphically Polyhedral Banach Spaces
by: Fonf, V.P., et al.
Published: (2013)

Optimal control problem for a differential inclusion with rapidly oscillating coefficients on a semiaxis
by: O. D. Kichmarenko, et al.
Published: (2021)

Darboux Transformations for Orthogonal Differential Systems and Differential Galois Theory
by: Acosta-Humánez, Primitivo, et al.
Published: (2023)

Oriented Closed Polyhedral Maps and the Kitaev Model
by: Szlachányi, Kornél
Published: (2024)

Some approaches to the construction of approximate solutions of the generalized Goursat problem for systems of certain quasilinear partial differential equations with deviating argument
by: Marynetz, V. V., et al.
Published: (1995)

Darboux problem for the generalized Euler–Poisson–Darboux equation
by: A. I. Ismoilov, et al.
Published: (2017)

Darboux problem for the generalized Euler – Poisson – Darboux equation
by: Ismoilov, A. I., et al.
Published: (2017)

Structure of Binary Transformations of Darboux Type and Their Application to Soliton Theory
by: Prykarpatsky, Ya. A., et al.
Published: (2003)

Bäcklund-Darboux Transformations for Super KdV Type Equations
by: Xue, Lingling, et al.
Published: (2025)

Classification of Multidimensional Darboux Transformations: First Order and Continued Type
by: Hobby, D., et al.
Published: (2017)

Averaging of fuzzy controlled differential inclusions with terminal quality criterion
by: A. V. Plotnikov
Published: (2013)

Polyhedral coherent risk measures in the case of imprecise scenario estimates
by: V. S. Kiriljuk
Published: (2018)

Darboux Integrals for Schrödinger Planar Vector Fields via Darboux Transformations
by: Acosta-Humánez, P.B., et al.
Published: (2012)

Jacobian and the Darboux Property
by: Ju. Ju. Trokhimchuk
Published: (2015)

Jacobian and the Darboux Property
by: Trohimchuk, Yu. Yu, et al.
Published: (2015)

Invertible Darboux Transformations
by: Shemyakova, E.
Published: (2013)

Kinetic regularities of the formation of gas products under the influence of ionizing radiation on biomass
by: Khalilov, Z.Z., et al.
Published: (2019)

Properties of optimal sets of external practi-cal weak stability of differential inclusions
by: F. G. Garashchenko, et al.
Published: (2004)

Darboux Transformation of Diffusion Processes
by: Kuznetsov, Alexey, et al.
Published: (2025)

On the stability of solutions of stochastic differential inclusions
by: Kravets, T. N., et al.
Published: (1995)

Cauchy Problem for a Darboux Integrable Wave Map System and Equations of Lie Type
by: Vassiliou, P.J.
Published: (2013)

Attractors of Differential Inclusions and Their Approximation
by: Valero, J., et al.
Published: (2000)

Uniqueness in law of solutions of stochastic differential inclusions
by: Lepeyev, A.N.
Published: (2007)

On stochastic differential inclusions with unbounded right sides
by: Lepeyev, A.N.
Published: (2006)

Manifold Ways to Darboux-Halphen System
by: Morales, J.A.C., et al.
Published: (2018)

On Darboux vector in Lorentzian 5-space
by: Iyigün, E., et al.
Published: (2018)

On Darboux's Approach to R-Separability of Variables
by: Sym, A., et al.
Published: (2011)

Coefficient conditions for existence of an optimal control for differential systems
by: O. M. Stanzhytskyi, et al.
Published: (2013)

Darboux and Binary Darboux Transformations for Discrete Integrable Systems. II. Discrete Potential mKdV Equation
by: Shi, Y., et al.
Published: (2017)

Periodic solutions of linear impulsive differential inclusions
by: Skripnik, N. V., et al.
Published: (2008)