MSC:
49A22,
49B22,
49J20,
49K20,
73H05,
73K10,
74G60,
74K20,
74P99 | MR 0897835 | Zbl 0639.73028 | DOI: 10.21136/AM.1987.104262

Full entry |
PDF
(1.6 MB)
Feedback

Lagrange multipliers; optimal control problem; system of von Kármán equations; deflection; thin elastic plate; perpendicular load; arbitrary large loads; existence proof; conditions of optimality

Related articles:

References:

[1] I. Bock I. Hlaváček J. Lovíšek: **On the optimal control problem governed by the equations of von Kárman, I. The homogeneous Dirichlet boundary conditions**. Aplikace mat. 29 (1984), 303-314. MR 0754082

[2] I. Bock I. Hlaváček J. Lovíšek: **On the optimal control problem governed by the equations of von Kárman. II. Mixed boundary conditions**. Aplikace mat. 30 (1985), 375-392. MR 0806834

[3] I. Hlaváček J. Neumann: **In homogeneous boundary value problems for the von Kárman equations. I**. Aplikace mat. 19 (1974), 253-269. MR 0377307

[4] A. D. Joffe V. M. Tichomirov: **The theory of extremal problems**. (in Russian). Moskva, Nauka 1974. MR 0410502

[5] O. John J. Nečas: **On the solvability of von Kárman equations**. Aplikace mat. 20 (1975), 48-62. MR 0380099

[6] L. A. Ljusternik V. I. Sobolev: **The elements of functional analysis**. (in Russian). Moskva, Nauka 1965. MR 0209802

[7] M. M. Vajnberg: **Variational methods of investigating nonlinear operators**. (in Russian). Moskva, Gostechizdat 1956.

[8] M. M. Vajnberg: **Variational method and a method of monotone operators**. (in Russian). Moskva, Nauka 1972.