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

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


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.

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