| Title:
|
Optimal control of a system governed by Petrowsky type equation with an infinite number of variables (English) |
| Author:
|
Kotarski, Wiesław |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
35 |
| Issue:
|
1 |
| Year:
|
1996 |
| Pages:
|
73-82 |
| . |
| Category:
|
math |
| . |
| MSC:
|
35R15 |
| MSC:
|
49K20 |
| MSC:
|
93C20 |
| idZBL:
|
Zbl 0961.49011 |
| idMR:
|
MR1485046 |
| . |
| Date available:
|
2009-01-29T15:49:18Z |
| Last updated:
|
2012-05-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120355 |
| . |
| Reference:
|
[1] Berezanskii, Ju. M., Gali I. M.: Positive definite functions of infinitely many variables in the layer.Ukrainskii Mat. Zhurnal 24, 4 (1972), 435-464. MR 0380406 |
| Reference:
|
[2] Berezanskii, Ju. M.: Self-adjointness of elliptic operators with an infìnite number of variabes.Ukrainskii Mat. Zhurnal 27, 6 (1975), 729-742. MR 0405094 |
| Reference:
|
[3] Dubovitskii A., Milyutin A.: Extrernal problems with side conditions.Zhurnal Vychisl. Mat. i Mat. Fyz. 5, 3 (1965), 395-453. |
| Reference:
|
[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. Zbl 0563.49013, MR 0647556 |
| Reference:
|
[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. MR 0693688 |
| Reference:
|
[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. Zbl 0535.49017, MR 0697994 |
| Reference:
|
[7] Girsanov I. V.: Lectures on mathematical theory of extremum problems.Springer-Verlag, New Yoгk, 1972. Zbl 0234.49016, MR 0464021 |
| Reference:
|
[8] Ioffe A.D., Tikhomirov V. M.: Theory of extremal problems.North-Holland, Amsteгdam, 1979. Zbl 0407.90051, MR 0528295 |
| Reference:
|
[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. Zbl 0663.49009, MR 0981943 |
| Reference:
|
[10] Łędzewicz-Kowalewska U.: Optimal control problems of hyperbolic systems with operator and nonoperator equality constraints.Applicable Analysis 27, 1-3 (1988), 199-215. Zbl 0613.49023, MR 0922778 |
| Reference:
|
[11] Lasiecka I.: Conical approximations of sets with applications to optimization problems.Technical University, Warsaw, 1974, Poland, Ph. D. Thesis (in Polish). |
| Reference:
|
[12] Lions J. L.: Optimal control of systems governed by partial differential equations.Springer-Verlag, New York, 1971. Zbl 0203.09001, MR 0271512 |
| Reference:
|
[13] Walczak S.: Some properties of cones in normed spaces and their application to investigating extremal problems.JOTA 42, 4 (1984), 561-582. Zbl 0504.52001, MR 0739435 |
| Reference:
|
[14] Walczak S.: On some control problem.Acta Univ. Łodziensis, Folia Mathematica 1 (1984), 187-196. Zbl 0565.49015, MR 0809025 |
| . |
