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The continuous classical optimal control problems for triple elliptic partial differential equations
Joint Authors
al-Hawasi, Jamil Amir Ali
Jasim, Dua Katib
Source
Ibn al-Haitham Journal for Pure and Applied Science
Issue
Vol. 33, Issue 1 (30 Apr. 2020), pp.143-151, 9 p.
Publisher
University of Baghdad College of Education for Pure Science / Ibn al-Haitham
Publication Date
2020-04-30
Country of Publication
Iraq
No. of Pages
9
Main Subjects
Topics
Abstract EN
In this paper the Galerkin method is used to prove the existence and uniqueness theorem for the solution of the state vector of the triple linear elliptic partial differential equations for fixed continuous classical optimal control vector.
Also, the existence theorem of a continuous classical optimal control vector related with the triple linear equations of elliptic types is proved.
The existence of a unique solution for the triple adjoint equations related with the considered triple of the state equations is studied.
The Fréchet derivative of the cost function is derived.
Finally the theorem of necessary conditions for optimality of the considered problem is proved.
American Psychological Association (APA)
al-Hawasi, Jamil Amir Ali& Jasim, Dua Katib. 2020. The continuous classical optimal control problems for triple elliptic partial differential equations. Ibn al-Haitham Journal for Pure and Applied Science،Vol. 33, no. 1, pp.143-151.
https://search.emarefa.net/detail/BIM-947405
Modern Language Association (MLA)
al-Hawasi, Jamil Amir Ali& Jasim, Dua Katib. The continuous classical optimal control problems for triple elliptic partial differential equations. Ibn al-Haitham Journal for Pure and Applied Science Vol. 33, no. 1 (2020), pp.143-151.
https://search.emarefa.net/detail/BIM-947405
American Medical Association (AMA)
al-Hawasi, Jamil Amir Ali& Jasim, Dua Katib. The continuous classical optimal control problems for triple elliptic partial differential equations. Ibn al-Haitham Journal for Pure and Applied Science. 2020. Vol. 33, no. 1, pp.143-151.
https://search.emarefa.net/detail/BIM-947405
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 150-151
Record ID
BIM-947405