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The optimal control problem in the processes described by the Goursat problem for a hyperbolic equation in variable exponent Sobolev spaces with dominating mixed derivatives    
Yazarlar
R. A. Bandaliyev
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi
I. G. Mamedov
A. B. Sadigov
Özet
In this paper a necessary and sufficient condition, such as the Pontryagin's maximum principle for an optimal control problem with distributed parameters, is given by a hyperbolic equation of the second order with L-p(x)-coefficients. The results can be used in the theory of optimal processes for distribution Pontryagin maximum principle for various controlled processes described by hyperbolic equations of second order with discontinuous coefficients in variable exponent Sobolev spaces with dominant mixed derivatives. (C) 2016 Elsevier B.V. All rights reserved.
Anahtar Kelimeler
Goursat problem | Optimal control | Pontryagin's maximum principle | Variable exponent Sobolev spaces with dominating mixed derivatives
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Dergi ISSN 0377-0427
Dergi Grubu Q1
Makale Dili İngilizce
Basım Tarihi 10-2016
Cilt No 305
Sayı 1
Sayfalar 11 / 17
Doi Numarası 10.1016/j.cam.2016.03.024