DISTRIBUTED CONTROL FOR COOPERATIVE ELLIPTIC SYSTEMS UNDER CONJUGATION CONDITIONS | ||||
| Al-Azhar Bulletin of Science | ||||
| Article 5, Volume 2018, Issue 12, December 2018, Page 1-10 PDF (610.1 K) | ||||
| Document Type: Original Article | ||||
| DOI: 10.21608/absb.2018.61202 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
| H. Serag1; H. M. Serag1; A. A. Al saban2 | ||||
| 1Dept of Mathematics , Faculty of Science(Men), Al-Azhar University , Cairo | ||||
| 2Department of Mathematics, Faculty of Science, Helwan University, Helwan City, Cairo, Egypt | ||||
| Abstract | ||||
| The cooperative elliptic systems involving Laplace operator defined on bounded, continuous and strictly Lipschitz domains of under 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. | ||||
| Keywords | ||||
| Cooperative elliptic systems; Conjugation conditions; Dirichlet and Neumann conditions; Existence and uniqueness of solutions; Distributed control | ||||
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