Optimal Control and Necessary Optimality Conditions for Nonlinear and Perturbed Dynamic Problems

Gossan D. Pascal Gershom, Bailly Bal´e and Yoro Gozo

Journal of Mathematics Research, 2018, vol. 10, issue 6, 63-79

Abstract: The main goal of this paper is to establish the first order necessary optimality conditions for a tumor growth model that evolves due to cancer cell proliferation. The phenomenon is modeled by a system of three-dimensional partial differential equations. We prove the existence and uniqueness of optimal control and necessary conditions of optimality are established by using the variational formulation.

Keywords: nonlinear system; optimal control; existence and uniqueness; first-order necessary optimality condition (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.ccsenet.org/journal/index.php/jmr/article/download/0/0/37430/37731 (application/pdf)
http://www.ccsenet.org/journal/index.php/jmr/article/view/0/37430 (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:ibn:jmrjnl:v:10:y:2018:i:6:p:63

Access Statistics for this article

More articles in Journal of Mathematics Research from Canadian Center of Science and Education Contact information at EDIRC.
Bibliographic data for series maintained by Canadian Center of Science and Education ().