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Plotnikov, Vladimir Ivanovich
Statistics Math-Net.Ru
Total publications: 35
Scientific articles: 35

Number of views:
This page:519
Abstract pages:7615
Full texts:3066
References:324

https://www.mathnet.ru/eng/person25043
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List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/196504

Publications in Math-Net.Ru Citations
1986
1. V. I. Plotnikov, I. M. Starobinets, “Phase inclusions in optimal control problems”, Differ. Uravn., 22:2 (1986),  236–247  mathnet  mathscinet
1985
2. V. I. Plotnikov, M. I. Sumin, “Conditions for elements of minimizing sequences of optimal control problems”, Dokl. Akad. Nauk SSSR, 280:2 (1985),  292–296  mathnet  mathscinet  zmath 2
3. V. I. Kazimirov, V. I. Plotnikov, I. M. Starobinets, “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  mathnet  mathscinet; Math. USSR-Izv., 26:1 (1986), 133–151 2
4. V. I. Plotnikov, I. M. Starobinets, “Operator inclusions in smooth extremal problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 1985, no. 12,  42–48  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 29:12 (1985), 58–65
1984
5. V. I. Plotnikov, M. I. Sumin, “Optimal control of distributed parameter systems described by nonsmooth Goursat–Darboux systems with constraints of inequality type”, Differ. Uravn., 20:5 (1984),  851–860  mathnet  mathscinet 1
1983
6. V. I. Plotnikov, M. I. Sumin, “Construction of minimizing sequences”, Differ. Uravn., 19:4 (1983),  581–588  mathnet  mathscinet 2
7. V. I. Kazimirov, V. I. Plotnikov, I. M. Starobinets, “A necessary condition for an extremum in smooth problems with operator constraints”, Izv. Vyssh. Uchebn. Zaved. Mat., 1983, no. 8,  21–26  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 27:8 (1983), 24–30
1982
8. M. M. Novozhenov, V. I. Plotnikov, “The generalized rule of Lagrangian multipliers for distributed systems with phase constraints”, Differ. Uravn., 18:4 (1982),  584–592  mathnet  mathscinet 3
9. V. I. Plotnikov, M. I. Sumin, “Necessary conditions in a nonsmooth problem of optimal control”, Mat. Zametki, 32:2 (1982),  187–197  mathnet  mathscinet  zmath; Math. Notes, 32:2 (1982), 574–579  isi
10. V. I. Plotnikov, M. I. Sumin, “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  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 22:1 (1982), 49–57 6
1981
11. V. I. Plotnikov, V. I. Sumin, “Optimization of distributed systems in a Lebesgue space”, Sibirsk. Mat. Zh., 22:6 (1981),  142–161  mathnet  mathscinet  zmath; Siberian Math. J., 22:6 (1981), 913–929  isi 10
1976
12. V. I. Plotnikov, V. I. Sumin, “The first variation and the associated problem in optimal control theory”, Funktsional. Anal. i Prilozhen., 10:4 (1976),  95–96  mathnet  mathscinet  zmath; Funct. Anal. Appl., 10:4 (1976), 330–332 1
1972
13. V. I. Plotnikov, V. I. Sumin, “Problems of the stability of nonlinear Goursat–Darboux systems”, Differ. Uravn., 8:5 (1972),  845–856  mathnet  mathscinet  zmath 14
14. V. I. Plotnikov, “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  mathnet  mathscinet  zmath; Math. USSR-Izv., 6:3 (1972), 649–676 10
15. V. I. Plotnikov, V. I. Sumin, “The optimization of objects with distributed parameters, described by Goursat–Darboux systems”, Zh. Vychisl. Mat. Mat. Fiz., 12:1 (1972),  61–77  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 12:1 (1972), 73–92 22
1971
16. V. I. Plotnikov, “Necessary conditions of optimality for control systems of general type”, Dokl. Akad. Nauk SSSR, 199:2 (1971),  275–278  mathnet  mathscinet  zmath 4
1970
17. V. I. Plotnikov, “Existence theorems on optimizing functions for optimal systems with distributed parameters”, Izv. Akad. Nauk SSSR Ser. Mat., 34:3 (1970),  689–711  mathnet  mathscinet  zmath; Math. USSR-Izv., 4:3 (1970), 697–719 1
18. G. K. Zakharov, V. I. Plotnikov, “Necessary time-optimality conditions in the case of two control parameters with different functional natures”, Mat. Zametki, 7:3 (1970),  273–280  mathnet  mathscinet  zmath; Math. Notes, 7:3 (1970), 166–170
19. G. K. Zakharov, V. I. Plotnikov, “Optimal processes with two groups of control parameters”, Zh. Vychisl. Mat. Mat. Fiz., 10:1 (1970),  55–66  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 10:1 (1970), 70–84 2
1968
20. V. I. Plotnikov, “An energy inequality and the overdeterminacy property of a system of eigenfunctions”, Izv. Akad. Nauk SSSR Ser. Mat., 32:4 (1968),  743–755  mathnet  mathscinet  zmath; Math. USSR-Izv., 2:4 (1968), 695–707 16
21. V. I. Plotnikov, V. Ya. Yakubov, “The one-dimensional generalized Sturm-Liouville problem”, Izv. Vyssh. Uchebn. Zaved. Mat., 1968, no. 12,  70–81  mathnet  mathscinet
22. S. F. Morozov, V. I. Plotnikov, “Integral inequalities of Wirtinger type”, Izv. Vyssh. Uchebn. Zaved. Mat., 1968, no. 7,  56–60  mathnet  mathscinet  zmath 1
23. G. K. Zakharov, V. I. Plotnikov, “Linear time-optimal problems with two groups of control parameters”, Zh. Vychisl. Mat. Mat. Fiz., 8:6 (1968),  1196–1207  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 8:6 (1968), 16–30
24. V. I. Plotnikov, “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  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 8:1 (1968), 182–211 13
1967
25. V. I. Plotnikov, “Optimal control of systems with distribution parameters”, Dokl. Akad. Nauk SSSR, 175:6 (1967),  1238–1241  mathnet  zmath
1966
26. V. I. Plotnikov, “A problem of optimal control for stationary systems with distributed parameters”, Dokl. Akad. Nauk SSSR, 170:2 (1966),  290–293  mathnet  mathscinet  zmath 2
27. S. F. Morozov, V. I. Plotnikov, “Hölder continuity properties of generalized solutions of multi-dimensional variational problems”, Mat. Sb. (N.S.), 71(113):4 (1966),  586–597  mathnet  mathscinet  zmath 2
1965
28. V. I. Plotnikov, “Uniqueness and existence theorems and a priori properties of generalized solutions”, Dokl. Akad. Nauk SSSR, 165:1 (1965),  33–35  mathnet  mathscinet  zmath 17
1964
29. S. F. Morozov, V. I. Plotnikov, “On the continuity of generalized solutions of variational problems”, Mat. Sb. (N.S.), 65(107):4 (1964),  473–485  mathnet  mathscinet  zmath 2
1962
30. S. F. Morozov, V. I. Plotnikov, “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  mathnet  mathscinet  zmath 6
1961
31. V. I. Plotnikov, “On the continuity of regular and quasi-regular functionals of the calculus of variations”, Mat. Sb. (N.S.), 53(95):2 (1961),  137–158  mathnet  mathscinet  zmath 1
1960
32. V. I. Plotnikov, “The semicontinuity of functionals of the calculus of variations”, Mat. Sb. (N.S.), 52(94):3 (1960),  799–810  mathnet  mathscinet  zmath
1959
33. V. I. Plotnikov, “Differentiability of solutions of regular variational problems in non-parametric form”, Mat. Sb. (N.S.), 47(89):3 (1959),  355–396  mathnet  mathscinet  zmath
1958
34. V. I. Plotnikov, “Generalized saddle functions”, Uspekhi Mat. Nauk, 13:5(83) (1958),  191–196  mathnet  mathscinet  zmath
1957
35. V. I. Plotnikov, “On the differentiability of the solutions of variation problems in a non-parametric form”, Dokl. Akad. Nauk SSSR, 116:5 (1957),  746–749  mathnet  mathscinet  zmath

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