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Kapustin, Nikolai Yur'evich
Statistics Math-Net.Ru
Total publications: 52
Scientific articles: 52

Number of views:
This page:1404
Abstract pages:9477
Full texts:4338
References:142
Professor
Doctor of physico-mathematical sciences

https://www.mathnet.ru/eng/person42003
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/199781

Publications in Math-Net.Ru Citations
2006
1. N. Yu. Kapustin, “An a priori estimate for the solution of a mixed problem for the heat equation”, Differ. Uravn., 42:10 (2006),  1375–1379  mathnet  mathscinet; Differ. Equ., 42:10 (2006), 1447–1452
2005
2. N. Yu. Kapustin, “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  mathnet  mathscinet; Differ. Equ., 41:10 (2005), 1490–1492 23
2003
3. E. I. Moiseev, N. Yu. Kapustin, “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  mathnet  mathscinet; Differ. Equ., 39:5 (2003), 694–700 9
2001
4. N. Yu. Kapustin, E. I. Moiseev, “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  mathnet  mathscinet; Differ. Equ., 37:12 (2001), 1677–1683 19
2000
5. N. Yu. Kapustin, E. I. Moiseev, “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  mathnet  mathscinet; Differ. Equ., 36:10 (2000), 1498–1501 40
6. N. Yu. Kapustin, E. I. Moiseev, “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  mathnet  mathscinet; Differ. Equ., 36:8 (2000), 1182–1188 23
1999
7. N. Yu. Kapustin, “Oscillation properties of solutions of a nonselfadjoint spectral problem with the spectral parameter in the boundary condition”, Differ. Uravn., 35:8 (1999),  1024–1027  mathnet  mathscinet; Differ. Equ., 35:8 (1999), 1031–1034 5
1998
8. N. Yu. Kapustin, E. I. Moiseev, “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  mathnet  mathscinet; Differ. Equ., 34:5 (1998), 663–668
1997
9. N. Yu. Kapustin, E. I. Moiseev, “On a spectral problem from the theory of the parabolic-hyperbolic heat equation”, Dokl. Akad. Nauk, 352:4 (1997),  451–454  mathnet  mathscinet  zmath 5
10. N. Yu. Kapustin, E. I. Moiseev, “On spectral problems with a spectral parameter in the boundary condition”, Differ. Uravn., 33:1 (1997),  115–119  mathnet  mathscinet; Differ. Equ., 33:1 (1997), 116–120 9
1996
11. N. Yu. Kapustin, “On spectral problems that arise in the theory of the parabolic-hyperbolic heat equation”, Dokl. Akad. Nauk, 349:6 (1996),  736–739  mathnet  mathscinet  zmath
12. N. Yu. Kapustin, “On the theory of the generalized parabolic-hyperbolic heat equation”, Differ. Uravn., 32:3 (1996),  375–383  mathnet  mathscinet; Differ. Equ., 32:3 (1996), 380–387
1995
13. N. Yu. Kapustin, “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  mathnet  mathscinet  zmath 1
14. N. Yu. Kapustin, “A priori estimates for the solutions of two problems for a generalized parabolic-hyperbolic heat equation”, Dokl. Akad. Nauk, 341:5 (1995),  585–587  mathnet  mathscinet  zmath 1
1994
15. N. Yu. Kapustin, “On the topological theory of generalized analytic functions”, Dokl. Akad. Nauk, 335:3 (1994),  284–287  mathnet  mathscinet  zmath; Dokl. Math., 49:2 (1994), 303–308
1993
16. N. Yu. Kapustin, “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  mathnet  mathscinet; Differ. Equ., 29:5 (1993), 751–759
1992
17. N. Yu. Kapustin, “A property of generalized analytic functions”, Dokl. Akad. Nauk, 322:3 (1992),  465–468  mathnet  mathscinet  zmath; Dokl. Math., 45:1 (1992), 124–128
1991
18. N. Yu. Kapustin, K. B. Sabitov, “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  mathnet  mathscinet  zmath; Dokl. Math., 44:3 (1992), 862–865
19. N. Yu. Kapustin, K. B. Sabitov, “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  mathnet  mathscinet  zmath; Dokl. Math., 43:2 (1991), 584–588 3
20. N. Yu. Kapustin, K. B. Sabitov, “Solution of a problem in the theory of the Frankl' problem for equations of mixed type”, Differ. Uravn., 27:1 (1991),  60–68  mathnet  mathscinet; Differ. Equ., 27:1 (1991), 47–54 8
1990
21. N. Yu. Kapustin, K. B. Sabitov, “The Riccati equation in the theory of equations of mixed type”, Dokl. Akad. Nauk SSSR, 314:6 (1990),  1307–1311  mathnet  mathscinet  zmath; Dokl. Math., 42:2 (1991), 641–645 1
22. N. Yu. Kapustin, “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  mathnet  mathscinet  zmath; Dokl. Math., 42:1 (1991), 72–76
23. N. Yu. Kapustin, “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  mathnet  mathscinet  zmath; Dokl. Math., 41:2 (1990), 295–299
24. N. Yu. Kapustin, “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  mathnet  mathscinet; Differ. Equ., 26:1 (1990), 59–67
25. N. Yu. Kapustin, K. B. Sabitov, “On role of Riccati equation in the theory of transonic gas-dynamic flows”, Mat. Model., 2:9 (1990),  105–113  mathnet  mathscinet  zmath 1
1989
26. N. Yu. Kapustin, “On the theory of boundary value problems with boundary functions in $L_2$”, Dokl. Akad. Nauk SSSR, 307:6 (1989),  1318–1322  mathnet  mathscinet  zmath; Dokl. Math., 40:1 (1990), 251–254
27. N. Yu. Kapustin, “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  mathnet  mathscinet  zmath; Dokl. Math., 39:2 (1989), 248–250 2
28. N. Yu. Kapustin, “A new approach to studying boundary value problems with generalized $L_2$ solutions”, Differ. Uravn., 25:6 (1989),  975–982  mathnet  mathscinet; Differ. Equ., 25:6 (1989), 706–712
29. N. Yu. Kapustin, “$L_2$-solvability of boundary value problems for equations of mixed type”, Differ. Uravn., 25:1 (1989),  50–59  mathnet  mathscinet; Differ. Equ., 25:1 (1989), 39–45
1988
30. N. Yu. Kapustin, “A property of the $W^2_2$-solution of the Cauchy–Goursat problem”, Dokl. Akad. Nauk SSSR, 301:3 (1988),  536–539  mathnet  mathscinet  zmath; Dokl. Math., 38:1 (1989), 106–108
31. N. Yu. Kapustin, “The Tricomi problem for a parabolic-hyperbolic equation with a degenerate hyperbolic side. II”, Differ. Uravn., 24:8 (1988),  1379–1386  mathnet  mathscinet; Differ. Equ., 24:8 (1988), 898–903 5
32. N. Yu. Kapustin, “A difference scheme for the Goursat problem with boundary functions in $L_2$”, Differ. Uravn., 24:7 (1988),  1204–1213  mathnet  mathscinet; Differ. Equ., 24:7 (1988), 782–788
33. N. Yu. Kapustin, Z. V. Shonia, “On a problem of the generalized solvability of the first Darboux problem”, Differ. Uravn., 24:1 (1988),  85–91  mathnet  mathscinet; Differ. Equ., 24:1 (1988), 67–71 1
1987
34. N. Yu. Kapustin, “On two problems for a hyperbolic equation in the characteristic triangle”, Dokl. Akad. Nauk SSSR, 293:2 (1987),  301–305  mathnet  mathscinet  zmath 1
35. N. Yu. Kapustin, “The Goursat problem with boundary functions in the class $L_2$”, Differ. Uravn., 23:7 (1987),  1219–1231  mathnet  mathscinet
36. N. Yu. Kapustin, “The Tricomi problem for a parabolic-hyperbolic equation with a degenerate hyperbolic side. I”, Differ. Uravn., 23:1 (1987),  72–78  mathnet  mathscinet 6
1986
37. N. Yu. Kapustin, “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  mathnet  mathscinet  zmath 1
38. N. Yu. Kapustin, “Problems on the convergence of spectral expansions in eigen- and associated functions of a parabolic operator”, Differ. Uravn., 22:9 (1986),  1616–1618  mathnet  mathscinet  zmath
39. N. Yu. Kapustin, “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  mathnet  mathscinet 1
1985
40. N. Yu. Kapustin, “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  mathnet  mathscinet  zmath
41. N. Yu. Kapustin, “Three boundary value problems for a hyperbolic equation in a characteristic triangle”, Dokl. Akad. Nauk SSSR, 285:3 (1985),  555–558  mathnet  mathscinet  zmath
42. N. Yu. Kapustin, A. S. Makin, “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  mathnet  mathscinet  zmath
43. N. Yu. Kapustin, “Order-sharp relations for eigen- and associated functions of an elliptic operator”, Dokl. Akad. Nauk SSSR, 280:6 (1985),  1293–1297  mathnet  mathscinet  zmath
44. N. Yu. Kapustin, A. S. Makin, “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  mathnet  mathscinet
1984
45. N. Yu. Kapustin, “Sharp anti-a priori estimates for eigen- and associated functions of an elliptic operator”, Dokl. Akad. Nauk SSSR, 277:4 (1984),  791–794  mathnet  mathscinet  zmath
46. N. Yu. Kapustin, “Estimates of anti-a priori type for eigen- and associated functions of certain differential operators”, Dokl. Akad. Nauk SSSR, 276:2 (1984),  271–273  mathnet  mathscinet  zmath
47. N. Yu. Kapustin, “Generalized solvability of the Tricomi problem for a parabolic-hyperbolic equation”, Dokl. Akad. Nauk SSSR, 274:6 (1984),  1294–1298  mathnet  mathscinet  zmath 1
48. N. Yu. Kapustin, “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  mathnet  mathscinet
1982
49. N. Yu. Kapustin, “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  mathnet  mathscinet  zmath 2
50. N. Yu. Kapustin, “On Tricomi's problem for a system of equations of parabolic-hyperbolic type”, Dokl. Akad. Nauk SSSR, 264:1 (1982),  38–39  mathnet  mathscinet  zmath
51. N. Yu. Kapustin, “On the theory of boundary value problems for systems of equations of mixed type”, Differ. Uravn., 18:7 (1982),  1207–1213  mathnet  mathscinet
52. N. Yu. Kapustin, “On the theory of equations of mixed type”, Differ. Uravn., 18:6 (1982),  1078–1080  mathnet  mathscinet  zmath

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