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Title: Optimal control for $n\times n$ hyperbolic systems involving operators of infinite order (English)
Author: El-Saify, Hussain A.
Author: Bahaa, G. M.
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 52
Issue: 4
Year: 2002
Pages: 409-424
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Category: math
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MSC: 49J20
idZBL: Zbl 1016.49003
idMR: MR1940245
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Date available: 2009-09-25T14:09:40Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/136867
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Reference: [1] DUBINSKII, JU. A.: About one method for solving partial differential equation.Dokl. Akad. Nauk SSSR 258 (1981), 780-784. MR 0620246
Reference: [2] GALI I. M.-EL-SAIFY H. A.: Optimal control of a system governed by hyperbolic operator with an infinite number of variables.J. Math. Anal. Appl. 85 (1982), 24-30. Zbl 0563.49013, MR 0647556
Reference: [3] GALI I. M.-EL-SAIFY H. A.: /: Control of system governed by infinite order equation of hyperbolic type.In: Functional-Differential Systems and Related Topics III, Proceeding of the 3rd International Conference, Blazejewko/Poland, 1983, pp. 99-103. MR 0788912
Reference: [4] LIONS J. L.: Optimal control of systems governed by partial differential equations.Grundlehren Math. Wiss. 170, Springer-Verlag, Berlin-Heidelberg-New York, 1971. Zbl 0203.09001, MR 0271512
Reference: [5] LIONS J. L.-MAGENES E.: Non-Homogeneous Boundary Value Problem and Applications I.Springer-Verlag, New York, 1972.
Reference: [6] EL-SAIFY H. A.: Boundary control for the hyperbolic operator with an infinite number of variables.J. Inst. Math. Comput. Sci. Comput. Sci. Ser. 1 (1990), 47-51.
Reference: [7] EL-SAIFY H. A.-SERAG H. M.-ABDUL-GAWAD B. G.: On optimal control for n x n elliptic system involving operators with an infinite number of variables.Adv. Modelling Anal. 37 (2000), 47-61.
Reference: [8] EL-SAIFY H. A.-GABER B. M.: Optimal control for nxn systems of hyperbolic types.Rev. Mat. Apl. 22 (2001), 1-23. MR 1890942
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