Serag, H., Al saban, A. (2018). DISTRIBUTED CONTROL FOR COOPERATIVE ELLIPTIC SYSTEMS UNDER CONJUGATION CONDITIONS. Al-Azhar Bulletin of Science, 29(Issue 2-B), 1-10. doi: 10.21608/absb.2018.61202
H. M. Serag; A. A. Al saban. "DISTRIBUTED CONTROL FOR COOPERATIVE ELLIPTIC SYSTEMS UNDER CONJUGATION CONDITIONS". Al-Azhar Bulletin of Science, 29, Issue 2-B, 2018, 1-10. doi: 10.21608/absb.2018.61202
Serag, H., Al saban, A. (2018). 'DISTRIBUTED CONTROL FOR COOPERATIVE ELLIPTIC SYSTEMS UNDER CONJUGATION CONDITIONS', Al-Azhar Bulletin of Science, 29(Issue 2-B), pp. 1-10. doi: 10.21608/absb.2018.61202
Serag, H., Al saban, A. DISTRIBUTED CONTROL FOR COOPERATIVE ELLIPTIC SYSTEMS UNDER CONJUGATION CONDITIONS. Al-Azhar Bulletin of Science, 2018; 29(Issue 2-B): 1-10. doi: 10.21608/absb.2018.61202
DISTRIBUTED CONTROL FOR COOPERATIVE ELLIPTIC SYSTEMS UNDER CONJUGATION CONDITIONS
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.