DISTRIBUTED CONTROL FOR COOPERATIVE ELLIPTIC SYSTEMS UNDER CONJUGATION CONDITIONS
Serag, H., Serag, H., Al saban, A. (2018). DISTRIBUTED CONTROL FOR COOPERATIVE ELLIPTIC SYSTEMS UNDER CONJUGATION CONDITIONS. EKB Journal Management System, 2018(12), 1-10. doi: 10.21608/absb.2018.61202
H. Serag; H. M. Serag; A. A. Al saban. "DISTRIBUTED CONTROL FOR COOPERATIVE ELLIPTIC SYSTEMS UNDER CONJUGATION CONDITIONS". EKB Journal Management System, 2018, 12, 2018, 1-10. doi: 10.21608/absb.2018.61202
Serag, H., Serag, H., Al saban, A. (2018). 'DISTRIBUTED CONTROL FOR COOPERATIVE ELLIPTIC SYSTEMS UNDER CONJUGATION CONDITIONS', EKB Journal Management System, 2018(12), pp. 1-10. doi: 10.21608/absb.2018.61202
Serag, H., Serag, H., Al saban, A. DISTRIBUTED CONTROL FOR COOPERATIVE ELLIPTIC SYSTEMS UNDER CONJUGATION CONDITIONS. EKB Journal Management System, 2018; 2018(12): 1-10. doi: 10.21608/absb.2018.61202

DISTRIBUTED CONTROL FOR COOPERATIVE ELLIPTIC SYSTEMS UNDER CONJUGATION CONDITIONS

Al-Azhar Bulletin of Science
Article 5, Volume 2018, Issue 12, December 2018, Pages 1-10    PDF (610.1 K)
Document Type: Original Article
DOI: 10.21608/absb.2018.61202
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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