Kapustin Nikolai Yur'evich

Publications in Math-Net.Ru

1. An a priori estimate for the solution of a mixed problem for the heat equation
   
   Differ. Uravn., 42:10 (2006),  1375–1379
2. On a Spectral Problem Arising in a Mathematical Model of Torsional Vibrations of a Rod with Pulleys at the Ends
   
   Differ. Uravn., 41:10 (2005),  1413–1415
3. An Estimate of the Solution of a Problem for a Parabolic-Hyperbolic Equation with the Use of Fourier Series
   
   Differ. Uravn., 39:5 (2003),  656–662
4. A Remark on the Convergence Problem for Spectral Expansions Corresponding to a Classical Problem with Spectral Parameter in the Boundary Condition
   
   Differ. Uravn., 37:12 (2001),  1599–1604
5. The basis property in $L_p$ of the systems of eigenfunctions corresponding to two problems with a spectral parameter in the boundary condition
   
   Differ. Uravn., 36:10 (2000),  1357–1360
6. Convergence of spectral expansions for functions of the Hölder class for two problems with a spectral parameter in the boundary condition
   
   Differ. Uravn., 36:8 (2000),  1069–1074
7. Oscillation properties of solutions of a nonselfadjoint spectral problem with the spectral parameter in the boundary condition
   
   Differ. Uravn., 35:8 (1999),  1024–1027
8. A spectral problem for the Laplace operator in the square with a spectral parameter in the boundary condition
   
   Differ. Uravn., 34:5 (1998),  662–667
9. On a spectral problem from the theory of the parabolic-hyperbolic heat equation
   
   Dokl. Akad. Nauk, 352:4 (1997),  451–454
10. On spectral problems with a spectral parameter in the boundary condition
    
    Differ. Uravn., 33:1 (1997),  115–119
11. On spectral problems that arise in the theory of the parabolic-hyperbolic heat equation
    
    Dokl. Akad. Nauk, 349:6 (1996),  736–739
12. On the theory of the generalized parabolic-hyperbolic heat equation
    
    Differ. Uravn., 32:3 (1996),  375–383
13. Unique solvability in the class $L_2$ of the Tricomi problem with a nonlocal condition on the line of change of type for a model parabolic-hyperbolic equation
    
    Dokl. Akad. Nauk, 341:6 (1995),  740–743
14. A priori estimates for the solutions of two problems for a generalized parabolic-hyperbolic heat equation
    
    Dokl. Akad. Nauk, 341:5 (1995),  585–587
15. On the topological theory of generalized analytic functions
    
    Dokl. Akad. Nauk, 335:3 (1994),  284–287
16. Uniqueness of the solution of the Frankl' problem, and some problems in the theory of generalized analytic functions
    
    Differ. Uravn., 29:5 (1993),  876–884
17. A property of generalized analytic functions
    
    Dokl. Akad. Nauk, 322:3 (1992),  465–468
18. On the uniqueness of solutions of the generalized Tricomi problem that arises in the theory of the Laval nozzle
    
    Dokl. Akad. Nauk SSSR, 321:6 (1991),  1151–1154
19. On the solution of a problem in the theory of the Frankl problem for equations of mixed type
    
    Dokl. Akad. Nauk SSSR, 317:5 (1991),  1048–1052
20. Solution of a problem in the theory of the Frankl' problem for equations of mixed type
    
    Differ. Uravn., 27:1 (1991),  60–68
21. The Riccati equation in the theory of equations of mixed type
    
    Dokl. Akad. Nauk SSSR, 314:6 (1990),  1307–1311
22. Unique solvability in the class $L_2$ of the Tricomi problem for a parabolic-hyperbolic equation with lowest terms
    
    Dokl. Akad. Nauk SSSR, 313:4 (1990),  790–795
23. Solvability in the class $L_2$ of the characteristic problem for a hyperbolic equation with degeneration of order
    
    Dokl. Akad. Nauk SSSR, 311:4 (1990),  784–788
24. Solvability in the class $L_2$ of a problem with a boundary condition on a characteristic for a hyperbolic equation with order degeneration
    
    Differ. Uravn., 26:1 (1990),  66–75
25. On role of Riccati equation in the theory of transonic gas-dynamic flows
    
    Mat. Model., 2:9 (1990),  105–113
26. On the theory of boundary value problems with boundary functions in $L_2$
    
    Dokl. Akad. Nauk SSSR, 307:6 (1989),  1318–1322
27. A problem for a parabolic-hyperbolic equation with a nonlocal gluing condition for the normal derivatives on the line of change of type
    
    Dokl. Akad. Nauk SSSR, 305:1 (1989),  31–33
28. A new approach to studying boundary value problems with generalized $L_2$ solutions
    
    Differ. Uravn., 25:6 (1989),  975–982
29. $L_2$-solvability of boundary value problems for equations of mixed type
    
    Differ. Uravn., 25:1 (1989),  50–59
30. A property of the $W^2_2$-solution of the Cauchy–Goursat problem
    
    Dokl. Akad. Nauk SSSR, 301:3 (1988),  536–539
31. The Tricomi problem for a parabolic-hyperbolic equation with a degenerate hyperbolic side. II
    
    Differ. Uravn., 24:8 (1988),  1379–1386
32. A difference scheme for the Goursat problem with boundary functions in $L_2$
    
    Differ. Uravn., 24:7 (1988),  1204–1213
33. On a problem of the generalized solvability of the first Darboux problem
    
    Differ. Uravn., 24:1 (1988),  85–91
34. On two problems for a hyperbolic equation in the characteristic triangle
    
    Dokl. Akad. Nauk SSSR, 293:2 (1987),  301–305
35. The Goursat problem with boundary functions in the class $L_2$
    
    Differ. Uravn., 23:7 (1987),  1219–1231
36. The Tricomi problem for a parabolic-hyperbolic equation with a degenerate hyperbolic side. I
    
    Differ. Uravn., 23:1 (1987),  72–78
37. Existence and uniqueness of the $L_2$-solution of the Tricomi problem for a parabolic-hyperbolic equation
    
    Dokl. Akad. Nauk SSSR, 291:2 (1986),  288–292
38. Problems on the convergence of spectral expansions in eigen- and associated functions of a parabolic operator
    
    Differ. Uravn., 22:9 (1986),  1616–1618
39. Solvability in the class $L_2$ of the Tricomi problem for a parabolic-hyperbolic equation with a degenerate hyperbolic part
    
    Differ. Uravn., 22:1 (1986),  60–66
40. Generalized solvability in the class $L_2$ of the Cauchy–Goursat problem for a degenerate hyperbolic equation
    
    Dokl. Akad. Nauk SSSR, 285:6 (1985),  1306–1309
41. Three boundary value problems for a hyperbolic equation in a characteristic triangle
    
    Dokl. Akad. Nauk SSSR, 285:3 (1985),  555–558
42. Sharp estimates, with respect to order, of anti-a-priori type for eigen- and associated functions of an elliptic operator of arbitrary order
    
    Dokl. Akad. Nauk SSSR, 283:2 (1985),  278–280
43. Order-sharp relations for eigen- and associated functions of an elliptic operator
    
    Dokl. Akad. Nauk SSSR, 280:6 (1985),  1293–1297
44. Order-exact relations of anti-a-priori type between eigen- and associated functions of an elliptic operator of arbitrary order
    
    Differ. Uravn., 21:1 (1985),  58–65
45. Sharp anti-a priori estimates for eigen- and associated functions of an elliptic operator
    
    Dokl. Akad. Nauk SSSR, 277:4 (1984),  791–794
46. Estimates of anti-a priori type for eigen- and associated functions of certain differential operators
    
    Dokl. Akad. Nauk SSSR, 276:2 (1984),  271–273
47. Generalized solvability of the Tricomi problem for a parabolic-hyperbolic equation
    
    Dokl. Akad. Nauk SSSR, 274:6 (1984),  1294–1298
48. Estimates of anti-a priori type that are sharp with respect to order for eigen- and associated functions of the heat conduction operator
    
    Differ. Uravn., 20:1 (1984),  41–45
49. An estimate of the solution of the Tricomi problem for a system of equations of parabolic-hyperbolic type
    
    Dokl. Akad. Nauk SSSR, 265:3 (1982),  524–525
50. On Tricomi's problem for a system of equations of parabolic-hyperbolic type
    
    Dokl. Akad. Nauk SSSR, 264:1 (1982),  38–39
51. On the theory of boundary value problems for systems of equations of mixed type
    
    Differ. Uravn., 18:7 (1982),  1207–1213
52. On the theory of equations of mixed type
    
    Differ. Uravn., 18:6 (1982),  1078–1080