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


  •  Gossan D. Pascal Gershom    
  •  Bailly Balè    
  •  Yoro Gozo    

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.



This work is licensed under a Creative Commons Attribution 4.0 License.
  • Issn(Print): 1916-9795
  • Issn(Onlne): 1916-9809
  • Started: 2009
  • Frequency: bimonthly

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