Document Zbl 0438.49008

Optimal control of processes described by equations of hyperbolic type. (English. Russian original) Zbl 0438.49008

J. Appl. Math. Mech. 41(1977), 385-397 (1978); translation from Prikl. Mat. Mekh. 41, 387-398 (1977).

Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0438.49008

MSC:

49J20	Existence theories for optimal control problems involving partial differential equations
49M29	Numerical methods involving duality
35L20	Initial-boundary value problems for second-order hyperbolic equations

Keywords:

Bolza problem

Cite Review PDF

Full Text: DOI

References:

[1]	Egorov, A. I., On the optimal control of processes in distributed plants, PMM, Vol. 28, N≗ 4 (1964) · Zbl 0135.33102
[2]	Petukhov, L. V.; Troitskii, V. A., Variational optimization problems for equations of hyperbolic type, PMM, Vol.36, N≗ 4 (1972) · Zbl 0261.49005
[3]	Petukhov, L. V.; Troitskii, V. A., Some optimal problems of the theory of longitudinal vibrations of rods, PMM, Vol.36, N≗ 5 (1972) · Zbl 0274.73032
[4]	Petukhov, L. V.; Troitskii, V. A., Variational problems of optimization for equations of the hyperbolic type in the presence of boundary controls, PMM, Vol. 39, N≗ 2 (1975)
[5]	Kraiko, A. N., Variational problems of gas dynamics of nonequilibrium and equi- librium flows, PMM, Vol. 28, N≗ 2 (1964) · Zbl 0136.45702
[6]	Sobolev, S. L., Applications of Functional Analysis in Mathematical Physics (1963), American Mathematical Society: American Mathematical Society Providence, (English translation) · Zbl 0123.09003
[7]	Ladyzhenskaia, O. A., Mixed Boundary-Value Problem for a Hyperbolic Equation (1953), Gostekhizdat: Gostekhizdat Moscow
[8]	Rashevskii, P. K., Riemann Geometry and Tensor Analysis (1967), Nauka: Nauka Moscow · Zbl 0186.06502
[9]	Smirnov, V. I., Course of Higher Mathematics, (Book N≗ 10207, Vol. 2 (1964), Pergamon Press), (English Translation) · Zbl 0122.29703

This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.