Optimality for parabolic systems operators with an infinite number of variables beneath conjugation conditions
*A. M. AbdallahCorresponding authorahmedabdel3l@yahoo.comDepartment of Basic ScienceHigher Technological Institute10th of Ramadan City, 44629, Egypt0000-0001-8403-8361View full profile →
* Corresponding author · click or hover a name for details
- Received:
- 07 Aug 2024
- Published Online:
- 13 Dec 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIOS-1972
- Pages:
- 1085–1097
Abstract
Keywords
Subject Classifications
References
[1] A.M. Abdallah, ‘’On Stochastic Elliptic System Involving Higher Order Operator with Dirichlet Conditions’’, AMO-Advanced Modeling and Optimization, vol. 20, pp. 81-88 (2018).
[2] A.M. Abdallah, ‘’Optimality Boundary Conditions For Stochastic Elliptic System Involving Higher Order Operator’’, International Journal of Advanced Research And Publications, vol. 2, no. 5, pp.1-4 (2018).
[3] A.M. Abdallah, ‘’Optimality Conditions for Some Non-Cooperative Systems’’, Lap Lambert Academic Publishing, Germany (2018).
[4] A.M. Abdallah, ‘’Optimization for a parabolic system involving Schrödinger operator with coefficients of variables beneath conjugation conditions’’, Journal of Information and Optimization Sciences, vol. 45, no. 5, pp.1305–1316 (2024).
[5] G. M. Bahaa, ‘’Time-Optimal control problem for parabolic equations with control constraints and infinite number of variables.’’, IMA Journal of Mathematical Control and Information vol. 22, vol.3, pp. 364-375 (2005).
[6] G. M. Bahaa, ‘’Boundary control problem for hyperbolic systems involving operators of infinite number of variables with control constraints’’, Journal of Information and Optimization Sciences , vol. 39, no. 6, pp.1263-1282 (2018).
[7] D. H. Q. Nam, J. Singh and N. H. Can, ‘’The local well-posed results of Kirchhoff parabolic equation with nonlocal condition’’, Journal of Interdisciplinary Mathematics, vol. 25, no. 1,pp. 1–14 (2022).
[8] H. A. El-Saify, ‘’Boundary control problem with an infinite number of variables’’, International Journal of Mathematics and Mathematical Sciences, vol. 28, no. 1, pp. 57-62 (2001).
[9] I. M. Gali and H. A. El-Saify, ‘’Distributed control of a system governed by Dirichlet and Neumann problems for a self-adjoint elliptic operator with an infinite number of variables’’, Journal of Optimization and Applications, vol. 39, no. 2, pp. 293-298 (1983).
[10] I. M. Gali, and H. A. El-Saify and S. A. El-Zahaby, ‘’The infinite tensor product of operators and its relation with functional spaces’’, Proceeding of the 8th Conference on Operator Theory, Timisora - Herculane, Romania (1983).
[11] W. Kotarski, , H. A. El-Saify, H, and G. M. Bahaa, G. M. ‘’Optimal control of parabolic equation with an infinite number of variables for non‐standard functional and time delay’’, IMA Journal of Mathematical Control and Information, vol. 19, no. 4, pp.461-476 (2002).
[12] J.L. Lions, “Optimal control of a system governed by partial differential equations”, Springer –Verlag Band, New York 170 (1971).
[13] J.L. Lions, “The optimal control of distributed systems’’, Russian Mathematical Surveys, vol. 28, no. 4 , pp. 15-46 (1973).
[14] J.L. Lions, “Some methods in the mathematical analysis of systems and their control”, Science Press, Beijing (1981).
[15] A. M. Abdallah, “Transmission Problems for Elliptic Equations With Variable Coefficients and Schrödinger Operators on the Interface”, International Journal of International Journal Control Systems and Roboticsof Control, vol. 10, pp. 39-45 (2025).




