Title:
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Optimal control for $n\times n$ hyperbolic systems involving operators of infinite order (English) |
Author:
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El-Saify, Hussain A. |
Author:
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Bahaa, G. M. |
Language:
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English |
Journal:
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Mathematica Slovaca |
ISSN:
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0139-9918 |
Volume:
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52 |
Issue:
|
4 |
Year:
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2002 |
Pages:
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409-424 |
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Category:
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math |
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MSC:
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49J20 |
idZBL:
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Zbl 1016.49003 |
idMR:
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MR1940245 |
. |
Date available:
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2009-09-25T14:09:40Z |
Last updated:
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2012-08-01 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/136867 |
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Reference:
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[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:
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[5] LIONS J. L.-MAGENES E.: Non-Homogeneous Boundary Value Problem and Applications I.Springer-Verlag, New York, 1972. |
Reference:
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[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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