Optimal control for n × n hyperbolic systems involving operators of infinite order

Hussain A. El-Saify; G. M. Bahaa

Mathematica Slovaca (2002)

  • Volume: 52, Issue: 4, page 409-424
  • ISSN: 0232-0525

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El-Saify, Hussain A., and Bahaa, G. M.. "Optimal control for $n\times n$ hyperbolic systems involving operators of infinite order." Mathematica Slovaca 52.4 (2002): 409-424. <http://eudml.org/doc/34559>.

@article{El2002,
author = {El-Saify, Hussain A., Bahaa, G. M.},
journal = {Mathematica Slovaca},
keywords = {optimal control problem; hyperbolic system; operator with infinite order},
language = {eng},
number = {4},
pages = {409-424},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Optimal control for $n\times n$ hyperbolic systems involving operators of infinite order},
url = {http://eudml.org/doc/34559},
volume = {52},
year = {2002},
}

TY - JOUR
AU - El-Saify, Hussain A.
AU - Bahaa, G. M.
TI - Optimal control for $n\times n$ hyperbolic systems involving operators of infinite order
JO - Mathematica Slovaca
PY - 2002
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 52
IS - 4
SP - 409
EP - 424
LA - eng
KW - optimal control problem; hyperbolic system; operator with infinite order
UR - http://eudml.org/doc/34559
ER -

References

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  1. DUBINSKII, JU. A., About one method for solving partial differential equation, Dokl. Akad. Nauk SSSR 258 (1981), 780-784. (1981) MR0620246
  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. (1982) Zbl0563.49013MR0647556
  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. (1983) MR0788912
  4. LIONS J. L., Optimal control of systems governed by partial differential equations, Grundlehren Math. Wiss. 170, Springer-Verlag, Berlin-Heidelberg-New York, 1971. (1971) Zbl0203.09001MR0271512
  5. LIONS J. L.-MAGENES E., Non-Homogeneous Boundary Value Problem and Applications I, Springer-Verlag, New York, 1972. (1972) 
  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. (1990) 
  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. 
  8. EL-SAIFY H. A.-GABER B. M., Optimal control for nxn systems of hyperbolic types, Rev. Mat. Apl. 22 (2001), 1-23. MR1890942

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