DISTRIBUTED CONTROL FOR COOPERATIVE ELLIPTIC SYSTEMS UNDER CONJUGATION CONDITIONS

Authors

H. Serag, Dept of Mathematics , Faculty of Science(Men), Al-Azhar University , Cairo
A. Al saban, Department of Mathematics, Faculty of Science, Helwan University, Helwan City, Cairo, EgyptFollow

Corresponding Author

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Document Type

Original Article

Subject Areas

Mathematics, Statistics, Computer Science, Physics and Astronomy

Keywords

Cooperative elliptic systems; Conjugation conditions; Dirichlet and Neumann conditions; Existence and uniqueness of solutions; Distributed control

Abstract

The cooperative elliptic systems involving Laplace operator defined on bounded, continuous and strictly Lipschitz domains ofunder conjugation conditions are considered. First, the existence and uniqueness of the state for these systems with Dirichlet and conjugation conditions is proved, then the set of equations and inequalities that characterizes the distributed control of these systems is found. The problem with Neumann conditions is also discussed.

How to Cite This Article

Serag, H. and Al saban, A. (2018) "DISTRIBUTED CONTROL FOR COOPERATIVE ELLIPTIC SYSTEMS UNDER CONJUGATION CONDITIONS," Al-Azhar Bulletin of Science: Vol. 29: Iss. 2, Article 20.
DOI: https://doi.org/10.21608/absb.2018.61202