Optimal control of a system governed by Petrowsky type equation with an infinite number of variables

Wiesław Kotarski

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (1996)

  • Volume: 35, Issue: 1, page 73-82
  • ISSN: 0231-9721

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Kotarski, Wiesław. "Optimal control of a system governed by Petrowsky type equation with an infinite number of variables." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 35.1 (1996): 73-82. <http://eudml.org/doc/23634>.

@article{Kotarski1996,
author = {Kotarski, Wiesław},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {Petrowsky type equation; optimal control; evolution equation; infinite number of variables; Dubovitskij-Milyutin method},
language = {eng},
number = {1},
pages = {73-82},
publisher = {Palacký University Olomouc},
title = {Optimal control of a system governed by Petrowsky type equation with an infinite number of variables},
url = {http://eudml.org/doc/23634},
volume = {35},
year = {1996},
}

TY - JOUR
AU - Kotarski, Wiesław
TI - Optimal control of a system governed by Petrowsky type equation with an infinite number of variables
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 1996
PB - Palacký University Olomouc
VL - 35
IS - 1
SP - 73
EP - 82
LA - eng
KW - Petrowsky type equation; optimal control; evolution equation; infinite number of variables; Dubovitskij-Milyutin method
UR - http://eudml.org/doc/23634
ER -

References

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  2. Berezanskii, Ju. M., Self-adjointness of elliptic operators with an infìnite number of variabes, Ukrainskii Mat. Zhurnal 27, 6 (1975), 729-742. (1975) MR0405094
  3. Dubovitskii A., Milyutin A., Extrernal problems with side conditions, Zhurnal Vychisl. Mat. i Mat. Fyz. 5, 3 (1965), 395-453. (1965) 
  4. Gali I. M., El-Saify H. A., Optimal control of a system governed by hyperbolic operator with an infinite number of variables, Journal of Math. Anal. and Appl. 85, (1982), 24-30. (1982) Zbl0563.49013MR0647556
  5. Gali I. M., El-Saify H. A., Distributed control of a system governed by a self-adjoint elliptic operator with an infinite number of variables, JOTA 39, 2 (1983), 293-298. (1983) MR0693688
  6. Gali I. M., El-Saify H. A., Optimal control of systems governed by Petrowsky type equation with an infìnite number of variables, Journal of Information and Optimization Sciences 4, 1 (1983), 83-94. (1983) Zbl0535.49017MR0697994
  7. Girsanov I. V., Lectures on mathematical theory of extremum problems, Springer-Verlag, New Yoгk, 1972. (1972) Zbl0234.49016MR0464021
  8. Ioffe A.D., Tikhomirov V. M., Theory of extremal problems, North-Holland, Amsteгdam, 1979. (1979) Zbl0407.90051MR0528295
  9. Kotarski W., Optimal control of a system governed by a parabolic equation with an infìnite number of variables, JOTA 60, 1 (1989), 33-41. (1989) Zbl0663.49009MR0981943
  10. Łędzewicz-Kowalewska U., Optimal control problems of hyperbolic systems with operator and nonoperator equality constraints, Applicable Analysis 27, 1-3 (1988), 199-215. (1988) Zbl0613.49023MR0922778
  11. Lasiecka I., Conical approximations of sets with applications to optimization problems, Technical University, Warsaw, 1974, Poland, Ph. D. Thesis (in Polish). (1974) 
  12. Lions J. L., Optimal control of systems governed by partial differential equations, Springer-Verlag, New York, 1971. (1971) Zbl0203.09001MR0271512
  13. Walczak S., Some properties of cones in normed spaces and their application to investigating extremal problems, JOTA 42, 4 (1984), 561-582. (1984) Zbl0504.52001MR0739435
  14. Walczak S., On some control problem, Acta Univ. Łodziensis, Folia Mathematica 1 (1984), 187-196. (1984) Zbl0565.49015MR0809025

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