Plotnikov Vladimir Ivanovich

Publications in Math-Net.Ru

1. Phase inclusions in optimal control problems
   
   Differ. Uravn., 22:2 (1986),  236–247
2. Conditions for elements of minimizing sequences of optimal control problems
   
   Dokl. Akad. Nauk SSSR, 280:2 (1985),  292–296
3. An abstract scheme for the method of variations and necessary conditions for an extremum
   
   Izv. Akad. Nauk SSSR Ser. Mat., 49:1 (1985),  141–159
4. Operator inclusions in smooth extremal problems
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 1985, no. 12,  42–48
5. Optimal control of distributed parameter systems described by nonsmooth Goursat–Darboux systems with constraints of inequality type
   
   Differ. Uravn., 20:5 (1984),  851–860
6. Construction of minimizing sequences
   
   Differ. Uravn., 19:4 (1983),  581–588
7. A necessary condition for an extremum in smooth problems with operator constraints
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 1983, no. 8,  21–26
8. The generalized rule of Lagrangian multipliers for distributed systems with phase constraints
   
   Differ. Uravn., 18:4 (1982),  584–592
9. Necessary conditions in a nonsmooth problem of optimal control
   
   Mat. Zametki, 32:2 (1982),  187–197
10. On the construction of minimizing sequences in problems of the control of systems with distributed parameters
    
    Zh. Vychisl. Mat. Mat. Fiz., 22:1 (1982),  49–56
11. Optimization of distributed systems in a Lebesgue space
    
    Sibirsk. Mat. Zh., 22:6 (1981),  142–161
12. The first variation and the associated problem in optimal control theory
    
    Funktsional. Anal. i Prilozhen., 10:4 (1976),  95–96
13. Problems of the stability of nonlinear Goursat–Darboux systems
    
    Differ. Uravn., 8:5 (1972),  845–856
14. Necessary and sufficient optimality conditions and uniqueness conditions for optimizing functions for control systems of general type
    
    Izv. Akad. Nauk SSSR Ser. Mat., 36:3 (1972),  652–679
15. The optimization of objects with distributed parameters, described by Goursat–Darboux systems
    
    Zh. Vychisl. Mat. Mat. Fiz., 12:1 (1972),  61–77
16. Necessary conditions of optimality for control systems of general type
    
    Dokl. Akad. Nauk SSSR, 199:2 (1971),  275–278
17. Existence theorems on optimizing functions for optimal systems with distributed parameters
    
    Izv. Akad. Nauk SSSR Ser. Mat., 34:3 (1970),  689–711
18. Necessary time-optimality conditions in the case of two control parameters with different functional natures
    
    Mat. Zametki, 7:3 (1970),  273–280
19. Optimal processes with two groups of control parameters
    
    Zh. Vychisl. Mat. Mat. Fiz., 10:1 (1970),  55–66
20. An energy inequality and the overdeterminacy property of a system of eigenfunctions
    
    Izv. Akad. Nauk SSSR Ser. Mat., 32:4 (1968),  743–755
21. The one-dimensional generalized Sturm-Liouville problem
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1968, no. 12,  70–81
22. Integral inequalities of Wirtinger type
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1968, no. 7,  56–60
23. Linear time-optimal problems with two groups of control parameters
    
    Zh. Vychisl. Mat. Mat. Fiz., 8:6 (1968),  1196–1207
24. The convergence of finite-dimensional approximations (in the problem of the optimal heating of an inhomogeneous body of arbitrary shape)
    
    Zh. Vychisl. Mat. Mat. Fiz., 8:1 (1968),  136–157
25. Optimal control of systems with distribution parameters
    
    Dokl. Akad. Nauk SSSR, 175:6 (1967),  1238–1241
26. A problem of optimal control for stationary systems with distributed parameters
    
    Dokl. Akad. Nauk SSSR, 170:2 (1966),  290–293
27. Hölder continuity properties of generalized solutions of multi-dimensional variational problems
    
    Mat. Sb. (N.S.), 71(113):4 (1966),  586–597
28. Uniqueness and existence theorems and a priori properties of generalized solutions
    
    Dokl. Akad. Nauk SSSR, 165:1 (1965),  33–35
29. On the continuity of generalized solutions of variational problems
    
    Mat. Sb. (N.S.), 65(107):4 (1964),  473–485
30. Necessary and sufficient conditions for the continuity and semicontinuity of the functionals of variational calculus
    
    Mat. Sb. (N.S.), 57(99):3 (1962),  265–280
31. On the continuity of regular and quasi-regular functionals of the calculus of variations
    
    Mat. Sb. (N.S.), 53(95):2 (1961),  137–158
32. The semicontinuity of functionals of the calculus of variations
    
    Mat. Sb. (N.S.), 52(94):3 (1960),  799–810
33. Differentiability of solutions of regular variational problems in non-parametric form
    
    Mat. Sb. (N.S.), 47(89):3 (1959),  355–396
34. Generalized saddle functions
    
    Uspekhi Mat. Nauk, 13:5(83) (1958),  191–196
35. On the differentiability of the solutions of variation problems in a non-parametric form
    
    Dokl. Akad. Nauk SSSR, 116:5 (1957),  746–749