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Gaponenko, Yurii Lukich
(1942–1989)
Statistics Math-Net.Ru
Total publications: 31
Scientific articles: 31

Number of views:
This page:377
Abstract pages:3960
Full texts:2013
Professor
Doctor of physico-mathematical sciences (1984)
Speciality: 01.01.07 (Computing mathematics)
Website: https://cs.msu.ru/persons/291
   
Main publications:
  • Nekorrektnye zadachi na slabykh kompaktakh / Yu. L. Gaponenko. - Moskva : Izd-vo MGU, 1989. - 124 s.; ISBN 5-211-00335-7

https://www.mathnet.ru/eng/person49225
https://ru.wikipedia.org/wiki/Gaponenko,_Yurii_Lukich
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/197238

Publications in Math-Net.Ru Citations
1990
1. V. P. Borovikov, I. P. Borovikov, Yu. L. Gaponenko, “A regularization method in the space of piecewise-continuous functions”, Dokl. Akad. Nauk SSSR, 313:3 (1990),  533–537  mathnet  mathscinet  zmath; Dokl. Math., 42:1 (1991), 23–27
1989
2. Yu. L. Gaponenko, S. L. Logunov, “The stability of the solution of an integral equation of the first kind on bounded and compact sets”, Zh. Vychisl. Mat. Mat. Fiz., 29:1 (1989),  15–25  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 29:1 (1989), 9–16
1988
3. Yu. L. Gaponenko, I. V. Nikolaev, “On the accuracy of the reconstruction of a piecewise-continuous velocity function of a medium from an approximately given vertical hodograph”, Dokl. Akad. Nauk SSSR, 298:3 (1988),  589–593  mathnet  mathscinet; Dokl. Math., 33:1 (1988), 40–42
1987
4. I. P. Borovikov, Yu. L. Gaponenko, “A method of linearizing the inverse problem for the wave equation”, Zh. Vychisl. Mat. Mat. Fiz., 27:10 (1987),  1516–1526  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 27:5 (1987), 157–165 1
1986
5. Yu. L. Gaponenko, “On the boundedness of the solution of a second-order linear equation”, Differ. Uravn., 22:5 (1986),  890–891  mathnet  mathscinet  zmath
6. Yu. L. Gaponenko, “The parameter-extension method for an equation of the second kind with a Lipschitz-continuous and monotone operator”, Zh. Vychisl. Mat. Mat. Fiz., 26:8 (1986),  1123–1131  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 26:4 (1986), 104–110 1
7. Yu. L. Gaponenko, “The problem of the stability of the solution of an integral equation of the first kind in a weak compactum”, Zh. Vychisl. Mat. Mat. Fiz., 26:7 (1986),  970–980  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 26:4 (1986), 6–13
1985
8. Yu. L. Gaponenko, “Accuracy of the solution of a nonlinear ill-posed problem with a finite error level”, Zh. Vychisl. Mat. Mat. Fiz., 25:5 (1985),  772–777  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 25:3 (1985), 81–85 1
1984
9. Yu. L. Gaponenko, “On the accuracy of a solution to an ill-posed problem with a finite level of errors”, Dokl. Akad. Nauk SSSR, 277:5 (1984),  1044–1048  mathnet  mathscinet  zmath
10. Yu. L. Gaponenko, “The method of successive iterations for an equation of the second kind”, Dokl. Akad. Nauk SSSR, 277:2 (1984),  281–283  mathnet  mathscinet  zmath
11. Yu. L. Gaponenko, “Degree of solvability and exactness of the solution of an ill-posed problem for a fixed level of error”, Zh. Vychisl. Mat. Mat. Fiz., 24:4 (1984),  483–490  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 24:2 (1984), 96–101 2
1983
12. Yu. L. Gaponenko, “Solvability of elementary two-point boundary value problems”, Differ. Uravn., 19:11 (1983),  1843–1847  mathnet  mathscinet
13. Yu. L. Gaponenko, “A condition for solvability of quasilinear boundary value problems”, Differ. Uravn., 19:10 (1983),  1667–1672  mathnet  mathscinet
1982
14. Yu. L. Gaponenko, “The contracting compactum principle for solving ill-posed problems”, Dokl. Akad. Nauk SSSR, 263:6 (1982),  1293–1296  mathnet  mathscinet  zmath
15. V. A. Vinokurov, Yu. L. Gaponenko, “A posteriori estimates of the solutions of ill-posed inverse problems”, Dokl. Akad. Nauk SSSR, 263:2 (1982),  277–280  mathnet  mathscinet  zmath 7
16. Yu. L. Gaponenko, “Solvability of a class of nonlinear operator equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 1982, no. 9,  3–7  mathnet  mathscinet  zmath
17. Yu. L. Gaponenko, “Accuracy of solutions of nonlinear ill-posed problem”, Izv. Vyssh. Uchebn. Zaved. Mat., 1982, no. 4,  13–18  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 26:4 (1982), 13–20
18. Yu. L. Gaponenko, “The contracting compacta principle for nonlinear ill-posed problems”, Sibirsk. Mat. Zh., 23:5 (1982),  42–51  mathnet  mathscinet  zmath; Siberian Math. J., 23:5 (1982), 624–631  isi
19. Yu. L. Gaponenko, “On a class of completely regularizable mappings”, Zh. Vychisl. Mat. Mat. Fiz., 22:1 (1982),  3–9  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 22:1 (1982), 1–8 1
1981
20. Yu. L. Gaponenko, “Method of contracting compacta for solving nonlinear ill-posed problems”, Zh. Vychisl. Mat. Mat. Fiz., 21:6 (1981),  1365–1375  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 21:6 (1981), 3–13
1980
21. Yu. L. Gaponenko, “On a class of equations that are regularizable in the space of continuous functions”, Dokl. Akad. Nauk SSSR, 252:1 (1980),  21–24  mathnet  mathscinet  zmath
22. Yu. L. Gaponenko, “Successive approximation method for solution of nonlinear extremal problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 1980, no. 5,  12–15  mathnet  mathscinet  zmath
1978
23. Yu. L. Gaponenko, “The method of consistent approximation for the solution of nonlinear operator equations”, Zh. Vychisl. Mat. Mat. Fiz., 18:3 (1978),  767–769  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 18:3 (1978), 242–245
24. Yu. L. Gaponenko, “A regularizer in the space of continuous functions”, Zh. Vychisl. Mat. Mat. Fiz., 18:2 (1978),  379–384  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 18:2 (1978), 83–87
1976
25. Yu. L. Gaponenko, “The discrete Green's function method for solving linear ill-posed problems”, Dokl. Akad. Nauk SSSR, 229:2 (1976),  269–271  mathnet  mathscinet  zmath
26. Yu. L. Gaponenko, “A paired integro-difference operator with vanishing symbol in the space $L_p(-\infty,\infty)$”, Izv. Vyssh. Uchebn. Zaved. Mat., 1976, no. 5,  108–111  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 20:5 (1976), 84–86
27. A. L. Gaponenko, Yu. L. Gaponenko, “A method of regularization for operator equations of the first kind”, Zh. Vychisl. Mat. Mat. Fiz., 16:3 (1976),  577–584  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 16:3 (1976), 32–39
1974
28. B. M. Budak, Yu. L. Gaponenko, G. Yu. Malysheva, P. I. Ruban, “A certain method for the solution of extremal problems with constraints on the phase coordinates”, Zh. Vychisl. Mat. Mat. Fiz., 14:3 (1974),  779–783  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 14:3 (1974), 239–243
1969
29. B. M. Budak, A. Vignoli, Yu. L. Gaponenko, “A method of regularization of an extremal problem for a continuous convex functional”, Dokl. Akad. Nauk SSSR, 184:1 (1969),  12–15  mathnet  mathscinet  zmath 1
30. B. M. Budak, A. Vin'oli, Yu. L. Gaponenko, “A regularization method for a continuous convex functional”, Zh. Vychisl. Mat. Mat. Fiz., 9:5 (1969),  1046–1056  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 9:5 (1969), 82–95 1
31. B. M. Budak, E. M. Berkovich, Yu. L. Gaponenko, “The construction of strongly convergent minimizing sequences for a continuous convex functional”, Zh. Vychisl. Mat. Mat. Fiz., 9:2 (1969),  286–299  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 9:2 (1969), 37–56

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