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Publications in Math-Net.Ru |
Citations |
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2023 |
1. |
V. I. Sumin, M. I. Sumin, “Regularization of classical optimality conditions
in optimization problems for linear Volterra-type systems
with functional constraints”, Russian Universities Reports. Mathematics, 28:143 (2023), 298–325 |
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2022 |
2. |
V. I. Sumin, M. I. Sumin, “On regularization of the Lagrange principle in the optimization problems for linear distributed Volterra type systems with operator constraints”, Izv. IMI UdGU, 59 (2022), 85–113 |
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3. |
V. I. Sumin, “Volterra functional equations and optimization of distributed systems. Special optimal controls”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 209 (2022), 53–76 |
4. |
V. I. Sumin, “Volterra Functional Equations in the Theory of Optimization of Distributed Systems. On the Problem of Singularity of Controlled Initial–Boundary Value Problems”, Trudy Inst. Mat. i Mekh. UrO RAN, 28:3 (2022), 188–201 ; Proc. Steklov Inst. Math. (Suppl.), 319, suppl. 1 (2022), S257–S270 |
5. |
V. I. Sumin, M. I. Sumin, “Regularization of the classical optimality conditions in optimal control problems for linear distributed systems of Volterra type”, Zh. Vychisl. Mat. Mat. Fiz., 62:1 (2022), 45–70 ; Comput. Math. Math. Phys., 62:1 (2022), 42–65 |
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2021 |
6. |
V. I. Sumin, M. I. Sumin, “Regularized classical optimality conditions in iterative form for convex optimization problems for distributed Volterra-type systems”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 31:2 (2021), 265–284 |
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2020 |
7. |
V. I. Sumin, “Volterra funktional equations in the stability problem for the existence of global solutions of distributed controlled systems”, Russian Universities Reports. Mathematics, 25:132 (2020), 422–440 |
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2019 |
8. |
V. I. Sumin, “Controlled Volterra functional equations and the contraction mapping principle”, Trudy Inst. Mat. i Mekh. UrO RAN, 25:1 (2019), 262–278 |
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2018 |
9. |
V. I. Sumin, “Volterra functional-operator equations and distributed optimization problems”, Tambov University Reports. Series: Natural and Technical Sciences, 23:124 (2018), 745–756 |
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10. |
M. S. Korzhavina, V. I. Sumin, “On the initial-boundary value problem for semilinear parabolic equation with controlled principal part”, Tambov University Reports. Series: Natural and Technical Sciences, 23:122 (2018), 317–324 |
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11. |
I. V. Gorokhova, V. I. Sumin, “About singular controls of pointwise maximum principle for optimization problem connected with Goursat-Darboux system”, Tambov University Reports. Series: Natural and Technical Sciences, 23:122 (2018), 278–284 |
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2015 |
12. |
I. V. Lisachenko, V. I. Sumin, “On singular controls of a maximum principle for the problem of the Goursat–Darboux system optimization”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 25:4 (2015), 483–491 |
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2012 |
13. |
V. I. Sumin, “Singular optimal controls in the distributed problems and Volterra functional-operator equations”, Izv. IMI UdGU, 2012, no. 1(39), 128–129 |
14. |
I. V. Lisachenko, V. I. Sumin, “On singular controls in the sense of the maximum principle for terminal optimization problem connected with Goursat–Darboux system”, Izv. IMI UdGU, 2012, no. 1(39), 80–81 |
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2011 |
15. |
I. V. Lisachenko, V. I. Sumin, “The maximum principle for terminal optimization problem connected with Goursat–Darboux system in the class of functions having summable mixed derivatives”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011, no. 2, 52–67 |
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2010 |
16. |
V. I. Sumin, “On singular controls in the sense of the pointwise maximum principle in distributed optimization problems”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2010, no. 3, 70–80 |
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2006 |
17. |
V. I. Sumin, “Volterra functional equations and the conditions for conservation of the global solvability of control initial boundary value problems”, Izv. IMI UdGU, 2006, no. 3(37), 143–146 |
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2000 |
18. |
V. I. Sumin, A. V. Chernov, “On some criteria for the quasinilpotency of functional operators”, Izv. Vyssh. Uchebn. Zaved. Mat., 2000, no. 2, 77–80 ; Russian Math. (Iz. VUZ), 44:2 (2000), 75–78 |
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1998 |
19. |
V. I. Sumin, A. V. Chernov, “Operators in the spaces of measurable functions: the Volterra property and quasinilpotency”, Differ. Uravn., 34:10 (1998), 1402–1411 ; Differ. Equ., 34:10 (1998), 1403–1411 |
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1995 |
20. |
V. I. Sumin, “On functional Volterra equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 1995, no. 9, 67–77 ; Russian Math. (Iz. VUZ), 39:9 (1995), 65–75 |
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1991 |
21. |
V. I. Sumin, “Strong degeneration of singular controls in distributed problems
of optimization”, Dokl. Akad. Nauk SSSR, 320:2 (1991), 295–299 ; Dokl. Math., 44:2 (1992), 453–458 |
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1990 |
22. |
V. I. Sumin, “Sufficient stability conditions for the existence of global solutions of controllable boundary value problems”, Differ. Uravn., 26:12 (1990), 2097–2109 ; Differ. Equ., 26:12 (1990), 1579–1590 |
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23. |
V. I. Sumin, “The features of gradient methods for distributed optimal-control problems”, Zh. Vychisl. Mat. Mat. Fiz., 30:1 (1990), 3–21 ; U.S.S.R. Comput. Math. Math. Phys., 30:1 (1990), 1–15 |
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1989 |
24. |
V. I. Sumin, “Volterra functional-operator equations in the theory of the
optimal control of distributed systems”, Dokl. Akad. Nauk SSSR, 305:5 (1989), 1056–1059 ; Dokl. Math., 39:2 (1989), 374–378 |
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1986 |
25. |
V. I. Sumin, “Stability of the existence of a global solution to the first boundary value problem for a controllable parabolic equation”, Differ. Uravn., 22:9 (1986), 1587–1595 |
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1981 |
26. |
V. I. Plotnikov, V. I. Sumin, “Optimization of distributed systems in a Lebesgue space”, Sibirsk. Mat. Zh., 22:6 (1981), 142–161 ; Siberian Math. J., 22:6 (1981), 913–929 |
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1979 |
27. |
S. F. Morozov, V. I. Sumin, “Optimization of nonlinear transport processes”, Dokl. Akad. Nauk SSSR, 247:4 (1979), 794–798 |
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28. |
S. F. Morozov, V. I. Sumin, “A nonlinear system of junction transfer in statistical nerve ensembles”, Differ. Uravn., 15:9 (1979), 1661–1666 |
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29. |
S. F. Morozov, V. I. Sumin, “Optimization of the non-linear systems of transport theory”, Zh. Vychisl. Mat. Mat. Fiz., 19:1 (1979), 99–111 ; U.S.S.R. Comput. Math. Math. Phys., 19:1 (1979), 101–114 |
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1978 |
30. |
S. F. Morozov, V. I. Sumin, “Nonlinear integro-differential systems of equations of nonstationary transfer”, Sibirsk. Mat. Zh., 19:4 (1978), 842–848 ; Siberian Math. J., 19:4 (1978), 595–600 |
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1977 |
31. |
S. F. Morozov, V. I. Sumin, “A nonlinear integrodifferential equation of nonstationary transfer”, Mat. Zametki, 21:5 (1977), 665–676 ; Math. Notes, 21:5 (1977), 373–379 |
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1976 |
32. |
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 ; Funct. Anal. Appl., 10:4 (1976), 330–332 |
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1975 |
33. |
S. F. Morozov, V. I. Sumin, “Time-optimality problems in the theory of the optimal control of transfer processes”, Differ. Uravn., 11:4 (1975), 727–740 |
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1974 |
34. |
S. F. Morozov, V. I. Sumin, “Necessary optimality conditions for controlled stationary transport processes”, Izv. Vyssh. Uchebn. Zaved. Mat., 1974, no. 10, 46–56 |
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1973 |
35. |
S. F. Morozov, V. I. Sumin, “Multidimensional variational problems in a class of discontinuous functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 1973, no. 8, 54–67 |
2
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1972 |
36. |
S. F. Morozov, V. I. Sumin, “A certain problem of optimal control of nonstationary transport processes”, Differ. Uravn., 8:12 (1972), 2235–2243 |
3
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37. |
V. I. Plotnikov, V. I. Sumin, “Problems of the stability of nonlinear Goursat–Darboux systems”, Differ. Uravn., 8:5 (1972), 845–856 |
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38. |
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 ; U.S.S.R. Comput. Math. Math. Phys., 12:1 (1972), 73–92 |
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1970 |
39. |
S. F. Morozov, V. I. Sumin, “Criterion for the compactness of a class of functions of $W_m^l$ ($1<ml\leqslant n$)”, Mat. Zametki, 7:6 (1970), 733–741 ; Math. Notes, 7:6 (1970), 441–445 |
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1992 |
40. |
M. A. Antonets, E. I. Gordon, E. A. Gorin, V. I. Sumin, “XVI School on Operator Theory in Functional Spaces”, Uspekhi Mat. Nauk, 47:3(285) (1992), 193–194 |
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Presentations in Math-Net.Ru |
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