On a problem of optimal control in abstract spaces

Kapitel in diesem Buch

1. Frontmatter 1
2. Preface 3
3. Inhaltsverzeichnis 5
4. Invited Lectures
5. Boundary control of parabolic equations: L-Q-R theory 11
6. On the asymptotic behaviour of the solution of variational inequalities 25
7. Extension theorems of Hahn-Banach type and monotone operators 41
8. Approximation of integral functionals and numerical solution of variational problems 51
9. Variational noncoercive nonlinear problems 61
10. On the theory of optimal control of dynamical systems 71
11. On Cauchy's problem for the spatially one-dimensional Zakharov system 79
12. Evolution equations in the theory of plasticity 97
13. Dual finite element analysis for some unilateral boundary value problems 109
14. Bifurcation in reaction-diffusion systems 117
15. On some parameter determination problems and quasi-yariational inequalities 129
16. On the determination of some rheologic properties of mechanical media 141
17. Some methods for finding of eigenvalues and eigenvectors of linear and nonlinear operators 159
18. Bifurcation under nonlinear loading 167
19. On the determination of Junctional parameters in some parabolic differential equation 175
20. On. second order evolution inequalities of Volterra type 185
21. Variational inequalities of elasto-plasticity with internal state variables 195
22. On nonlinear divergence equations 205
23. Nonlinear eigenvalue problems and the existence of nonzero fixed points for A-proper mappings 215
24. Gestörte Projektionsverfahren und einige ihrer Anwendungen 229
25. On a class of nonlinear eigenvalue problems with non-invertiblc linear part 239
26. Some classes of non-linear operators generalizing the metric projections onto CebySev subspaces 245
27. Numerical experiments on the identification of heat conduction coefficients 259
28. On an iteration procedure 269
29. Necessary optimality conditions for control processes with singular integral equations and elliptic equations 279
30. On the numerical treatment of wave-envelope equations 293
31. Communications
32. An obstacle problem and its solution by quasi-variational inequalities 303
33. On the speed of convergence of iteration methods 309
34. Numerical results of parameter identification in partial differential equations 315
35. A general Hahn-Banach type theorem 323
36. Abstracts of communications
37. On a problem of optimal control in abstract spaces 337
38. On the stability of discretization methods for boundary value problems 341
39. Two remarks on functional analysis 345
40. On a relation between (K)- and (Q)-convergence of a net of sets 347
41. Theory of Frechet cones and nonlinear analysis 349
42. Optimality conditions in polyoptimization 353
43. On optimal control of elliptic systems 357
44. The buckling of axially compressed circular cylindrical shells with free edges 361
45. Stabilization of solutions of abstract parabolic equations 365
46. Non-linear problems of the orthogonal anisotropic shallow shells 367
47. Некоторые сравнительные теоремы для нелинейных дифференциальных неравенств с последействием 371
48. On some type of nonlinear equations 375
49. On the question of controllability of nonlinear dynamical systems 377
50. Approximation of the Signorini problem in plane elastostatics 381
51. An asymptotic expansion of the solution of ordinary differential equations containing a small parameter in the highest derivative 385
52. On eigenvalue equations in convex cones 389
53. Asymptotic behaviour of some function systems 393
54. On the asymptotic behaviour of the period of limit cycles bifurcating from a critical point 397
55. Methods of function theory for the solution of non-linear partial differential equations 399
56. On the solution of a boundary control problem at the stationary heat transfer equation 403
57. On the numerical solution of a variational inequality 405
58. On some inverse problem for a system of one-dimensional diffusion equations 409