Fréchet Differentiability for a Damped Kirchhoff-Type Equation and Its Application to Bilinear Minimax Optimal Control Problems
Author
Source
International Journal of Differential Equations
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-02-03
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
We consider a damped Kirchhoff-type equation with Dirichlet boundary conditions.
The objective is to show the Fréchet differentiability of a nonlinear solution map from a bilinear control input to the solution of a Kirchhoff-type equation.
We use this result to formulate the minimax optimal control problem.
We show the existence of optimal pairs and find their necessary optimality conditions.
American Psychological Association (APA)
Hwang, Jinsoo. 2019. Fréchet Differentiability for a Damped Kirchhoff-Type Equation and Its Application to Bilinear Minimax Optimal Control Problems. International Journal of Differential Equations،Vol. 2019, no. 2019, pp.1-16.
https://search.emarefa.net/detail/BIM-1159170
Modern Language Association (MLA)
Hwang, Jinsoo. Fréchet Differentiability for a Damped Kirchhoff-Type Equation and Its Application to Bilinear Minimax Optimal Control Problems. International Journal of Differential Equations No. 2019 (2019), pp.1-16.
https://search.emarefa.net/detail/BIM-1159170
American Medical Association (AMA)
Hwang, Jinsoo. Fréchet Differentiability for a Damped Kirchhoff-Type Equation and Its Application to Bilinear Minimax Optimal Control Problems. International Journal of Differential Equations. 2019. Vol. 2019, no. 2019, pp.1-16.
https://search.emarefa.net/detail/BIM-1159170
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1159170
