Optimal control of a system governed by Petrowsky type equation with an infinite number of variables
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (1996)
- Volume: 35, Issue: 1, page 73-82
- ISSN: 0231-9721
Access Full Article
topHow to cite
topKotarski, 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
top- Berezanskii, Ju. M., Gali I. M., Positive definite functions of infinitely many variables in the layer, Ukrainskii Mat. Zhurnal 24, 4 (1972), 435-464. (1972) MR0380406
- Berezanskii, Ju. M., Self-adjointness of elliptic operators with an infìnite number of variabes, Ukrainskii Mat. Zhurnal 27, 6 (1975), 729-742. (1975) MR0405094
- Dubovitskii A., Milyutin A., Extrernal problems with side conditions, Zhurnal Vychisl. Mat. i Mat. Fyz. 5, 3 (1965), 395-453. (1965)
- 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
- 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
- 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
- Girsanov I. V., Lectures on mathematical theory of extremum problems, Springer-Verlag, New Yoгk, 1972. (1972) Zbl0234.49016MR0464021
- Ioffe A.D., Tikhomirov V. M., Theory of extremal problems, North-Holland, Amsteгdam, 1979. (1979) Zbl0407.90051MR0528295
- 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
- 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
- Lasiecka I., Conical approximations of sets with applications to optimization problems, Technical University, Warsaw, 1974, Poland, Ph. D. Thesis (in Polish). (1974)
- Lions J. L., Optimal control of systems governed by partial differential equations, Springer-Verlag, New York, 1971. (1971) Zbl0203.09001MR0271512
- 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
- Walczak S., On some control problem, Acta Univ. Łodziensis, Folia Mathematica 1 (1984), 187-196. (1984) Zbl0565.49015MR0809025
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.