An Optimization Problem of Boundary Type for Cooperative Hyperbolic Systems Involving Schrödinger Operator

Ahlam Hasan Qamlo

Department of Mathematics, Faculty of Applied sciences, Umm AL-Qura University, Makkah, KSA.

DOI: 10.4236/ica.2014.54028                

Abstract

In this paper, we consider cooperative hyperbolic systems involving Schr?dinger operator defined on  Rⁿ. First we prove the existence and uniqueness of the state for these systems. Then we find the necessary and sufficient conditions of optimal control for such systems of the boundary type. We also find the necessary and sufficient conditions of optimal control for same systems when the observation is on the boundary.

Keywords

Hyperbolic Systems, Schrödinger Operator, Boundary Control Problem, Boundary Observation, Cooperative

Conflicts of Interest

The authors declare no conflicts of interest.

References

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