Gaponenko Yurii Lukich

Publications in Math-Net.Ru

1. A regularization method in the space of piecewise-continuous functions
   
   Dokl. Akad. Nauk SSSR, 313:3 (1990),  533–537
2. 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
3. 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
4. A method of linearizing the inverse problem for the wave equation
   
   Zh. Vychisl. Mat. Mat. Fiz., 27:10 (1987),  1516–1526
5. On the boundedness of the solution of a second-order linear equation
   
   Differ. Uravn., 22:5 (1986),  890–891
6. 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
7. 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
8. 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
9. 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
10. The method of successive iterations for an equation of the second kind
    
    Dokl. Akad. Nauk SSSR, 277:2 (1984),  281–283
11. 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
12. Solvability of elementary two-point boundary value problems
    
    Differ. Uravn., 19:11 (1983),  1843–1847
13. A condition for solvability of quasilinear boundary value problems
    
    Differ. Uravn., 19:10 (1983),  1667–1672
14. The contracting compactum principle for solving ill-posed problems
    
    Dokl. Akad. Nauk SSSR, 263:6 (1982),  1293–1296
15. A posteriori estimates of the solutions of ill-posed inverse problems
    
    Dokl. Akad. Nauk SSSR, 263:2 (1982),  277–280
16. Solvability of a class of nonlinear operator equations
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1982, no. 9,  3–7
17. Accuracy of solutions of nonlinear ill-posed problem
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1982, no. 4,  13–18
18. The contracting compacta principle for nonlinear ill-posed problems
    
    Sibirsk. Mat. Zh., 23:5 (1982),  42–51
19. On a class of completely regularizable mappings
    
    Zh. Vychisl. Mat. Mat. Fiz., 22:1 (1982),  3–9
20. Method of contracting compacta for solving nonlinear ill-posed problems
    
    Zh. Vychisl. Mat. Mat. Fiz., 21:6 (1981),  1365–1375
21. On a class of equations that are regularizable in the space of continuous functions
    
    Dokl. Akad. Nauk SSSR, 252:1 (1980),  21–24
22. Successive approximation method for solution of nonlinear extremal problems
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1980, no. 5,  12–15
23. The method of consistent approximation for the solution of nonlinear operator equations
    
    Zh. Vychisl. Mat. Mat. Fiz., 18:3 (1978),  767–769
24. A regularizer in the space of continuous functions
    
    Zh. Vychisl. Mat. Mat. Fiz., 18:2 (1978),  379–384
25. The discrete Green's function method for solving linear ill-posed problems
    
    Dokl. Akad. Nauk SSSR, 229:2 (1976),  269–271
26. 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
27. A method of regularization for operator equations of the first kind
    
    Zh. Vychisl. Mat. Mat. Fiz., 16:3 (1976),  577–584
28. 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
29. A method of regularization of an extremal problem for a continuous convex functional
    
    Dokl. Akad. Nauk SSSR, 184:1 (1969),  12–15
30. A regularization method for a continuous convex functional
    
    Zh. Vychisl. Mat. Mat. Fiz., 9:5 (1969),  1046–1056
31. The construction of strongly convergent minimizing sequences for a continuous convex functional
    
    Zh. Vychisl. Mat. Mat. Fiz., 9:2 (1969),  286–299