The Continuous Classical Boundary Optimal Control of a Couple Linear Of Parabolic Partial Differential Equations

Authors

  • Jamil Amir Al-hawasy college of sciences /Al-Mustansiriyah University

DOI:

https://doi.org/10.23851/mjs.v29i1.159

Keywords:

boundary optimal control, couple linear parabolic partial differential equations.

Abstract

In this paper the continuous classical boundary optimal problem of a couple linear partial differential equations of parabolic type is studied, The Galerkin method is used to prove the existence and uniqueness theorem of the state vector solution of a couple linear parabolic partial differential equations for given (fixed) continuous classical boundary control vector. The proof of the existence theorem of a continuous classical optimal boundary control vector associated with the couple linear parabolic is given. The Frechet derivative is derived; finally we give a proof of the necessary conditions for optimality (boundary control) of the above problem.

Author Biography

Jamil Amir Al-hawasy, college of sciences /Al-Mustansiriyah University

Department of Mathematics

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Published

2018-10-31

How to Cite

[1]
J. A. Al-hawasy, “The Continuous Classical Boundary Optimal Control of a Couple Linear Of Parabolic Partial Differential Equations”, MJS, vol. 29, no. 1, pp. 118–126, Oct. 2018.

Issue

Section

Mathematics