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

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  • Gossan D. Pascal Gershom
  • Bailly Bal´e
  • 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.

Suggested Citation

  • Gossan D. Pascal Gershom & Bailly Bal´e & Yoro Gozo, 2018. "Optimal Control and Necessary Optimality Conditions for Nonlinear and Perturbed Dynamic Problems," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 10(6), pages 63-79, December.
    • Handle: RePEc:ibn:jmrjnl:v:10:y:2018:i:6:p:63
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    1. Gossan D. Pascal Gershom & Yoro Gozo & Bailly Bal´e, 2018. "Existence, Uniqueness and C −Differentiability of Solutions in a Non-linear Model of Cancerous Tumor," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 10(6), pages 43-62, December.
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      Keywords

      nonlinear system; optimal control; existence and uniqueness; first-order necessary optimality condition;
      All these keywords.

      JEL classification:

      • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
      • Z0 - Other Special Topics - - General

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