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Publications in Math-Net.Ru |
Citations |
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2023 |
1. |
P. I. Naumkin, “Logarithmic nature of the long-time asymptotics of solutions of a Sobolev-type nonlinear equations with cubic nonlinearities”, Mat. Sb., 214:7 (2023), 134–160 ; Sb. Math., 214:7 (2023), 1024–1050 |
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2019 |
2. |
P. I. Naumkin, “Asymptotics of solutions of a modified Whitham equation with surface tension”, Izv. RAN. Ser. Mat., 83:2 (2019), 174–203 ; Izv. Math., 83:2 (2019), 361–390 |
1
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3. |
P. I. Naumkin, “Time decay estimates for solutions of the Cauchy problem for the modified Kawahara equation”, Mat. Sb., 210:5 (2019), 72–108 ; Sb. Math., 210:5 (2019), 693–730 |
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2015 |
4. |
P. I. Naumkin, “The dissipative property of a cubic non-linear Schrödinger equation”, Izv. RAN. Ser. Mat., 79:2 (2015), 137–166 ; Izv. Math., 79:2 (2015), 346–374 |
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2013 |
5. |
E. I. Kaikina, P. I. Naumkin, I. A. Shishmarev, “Asymptotic expansion of solutions to the periodic problem for a non-linear Sobolev-type equation”, Izv. RAN. Ser. Mat., 77:2 (2013), 97–108 ; Izv. Math., 77:2 (2013), 313–324 |
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2012 |
6. |
E. I. Kaikina, P. I. Naumkin, I. A. Shishmarev, “The far-field asymptotics of solutions of a fractional non-linear equation”, Izv. RAN. Ser. Mat., 76:2 (2012), 37–66 ; Izv. Math., 76:2 (2012), 245–274 |
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2010 |
7. |
E. I. Kaikina, P. I. Naumkin, I. A. Shishmarev, “Periodic Boundary Value Problem for Nonlinear Sobolev-Type Equations”, Funktsional. Anal. i Prilozhen., 44:3 (2010), 14–26 ; Funct. Anal. Appl., 44:3 (2010), 171–181 |
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2009 |
8. |
E. I. Kaikina, P. I. Naumkin, I. A. Shishmarev, “A boundary-value problem for a non-linear equation with a fractional derivative”, Izv. RAN. Ser. Mat., 73:6 (2009), 101–124 ; Izv. Math., 73:6 (2009), 1173–1196 |
9. |
E. I. Kaikina, P. I. Naumkin, I. A. Shishmarev, “Large-time asymptotic behaviour of solutions of non-linear Sobolev-type equations”, Uspekhi Mat. Nauk, 64:3(387) (2009), 3–72 ; Russian Math. Surveys, 64:3 (2009), 399–468 |
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2007 |
10. |
N. Hayashi, E. I. Kaikina, P. I. Naumkin, “Asymptotics for nonlinear damped wave equations with large initial data”, Sib. Èlektron. Mat. Izv., 4 (2007), 249–277 |
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2005 |
11. |
E. I. Kaikina, P. I. Naumkin, I. A. Shishmarev, “The Cauchy problem for an equation of Sobolev type with power non-linearity”, Izv. RAN. Ser. Mat., 69:1 (2005), 61–114 ; Izv. Math., 69:1 (2005), 59–111 |
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2004 |
12. |
E. I. Kaikina, P. I. Naumkin, I. A. Shishmarev, “Asymptotics of solutions of non-linear dissipative equations”, Izv. RAN. Ser. Mat., 68:3 (2004), 29–62 ; Izv. Math., 68:3 (2004), 461–492 |
3
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13. |
E. I. Kaikina, P. I. Naumkin, I. A. Shishmarev, “Cauchy problem for non-linear systems of equations in the critical case”, Mat. Sb., 195:11 (2004), 31–62 ; Sb. Math., 195:11 (2004), 1575–1605 |
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2003 |
14. |
E. I. Kaikina, P. I. Naumkin, I. A. Shishmarev, “Asymptotics for Nonlinear Evolution Equations with Small Dissipation”, Differ. Uravn., 39:5 (2003), 624–637 ; Differ. Equ., 39:5 (2003), 658–673 |
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1997 |
15. |
P. I. Naumkin, “Evolution of a step for the Benjamin–Bona–Mahony–Burgers equation”, Dokl. Akad. Nauk, 352:6 (1997), 742–745 |
16. |
P. I. Naumkin, “Solution asymptotics at large times for the non-linear Schrödinger equation”, Izv. RAN. Ser. Mat., 61:4 (1997), 81–118 ; Izv. Math., 61:4 (1997), 757–794 |
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1996 |
17. |
P. I. Naumkin, I. A. Shishmarev, “A periodic problem for a system of equations describing the conductivity of nerve pulses”, Differ. Uravn., 32:4 (1996), 562–564 ; Differ. Equ., 32:4 (1996), 568–570 |
18. |
P. I. Naumkin, I. A. Shishmarev, “Asymptotics as $t\to\infty$ of the solutions of nonlinear equations with nonsmall initial perturbations”, Mat. Zametki, 59:6 (1996), 855–864 ; Math. Notes, 59:6 (1996), 618–624 |
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19. |
P. I. Naumkin, I. A. Shishmarev, “Asymptotic behaviour as $t\to \infty$ of the solutions of the generalized Korteweg–de Vries equation”, Mat. Sb., 187:5 (1996), 71–110 ; Sb. Math., 187:5 (1996), 693–733 |
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1995 |
20. |
P. I. Naumkin, I. A. Shishmarev, “On the asymptotic behavior as $t\to\infty$ of the solutions of the generalized Kortweg–de Vries equation”, Dokl. Akad. Nauk, 344:2 (1995), 165–167 |
21. |
P. I. Naumkin, I. A. Shishmarev, “On an asymptotic representation of surface waves in the form of
two Burgers traveling waves”, Dokl. Akad. Nauk, 340:5 (1995), 602–606 |
22. |
P. I. Naumkin, I. A. Shishmarev, “Asymptotic Representation of Surface Waves in the Form of Two Traveling Burgers Waves”, Funktsional. Anal. i Prilozhen., 29:3 (1995), 25–40 ; Funct. Anal. Appl., 29:3 (1995), 168–179 |
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1994 |
23. |
P. I. Naumkin, I. A. Shishmarev, “On a relation between solutions of different nonlinear equations
for large time values”, Dokl. Akad. Nauk, 334:4 (1994), 429–432 ; Dokl. Math., 49:1 (1994), 127–131 |
24. |
P. I. Naumkin, I. A. Shishmarev, “An asymptotic relationship between solutions of different nonlinear equations for large time values. II”, Differ. Uravn., 30:8 (1994), 1432–1444 ; Differ. Equ., 30:8 (1994), 1329–1340 |
25. |
P. I. Naumkin, I. A. Shishmarev, “An asymptotic relationship between solutions of different nonlinear equations for large time values. I”, Differ. Uravn., 30:5 (1994), 873–881 ; Differ. Equ., 30:5 (1994), 806–814 |
1
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1993 |
26. |
P. I. Naumkin, I. A. Shishmarev, “On a system of equations that describes nerve conduction”, Dokl. Akad. Nauk, 328:6 (1993), 683–685 ; Dokl. Math., 38:2 (1993), 69–70 |
27. |
P. I. Naumkin, “On the asymptotic behavior for large time values of the solutions of nonlinear equations in the case of maximal order”, Differ. Uravn., 29:6 (1993), 1071–1074 ; Differ. Equ., 29:6 (1993), 926–929 |
28. |
P. I. Naumkin, I. A. Shishmarev, “Asymptotic behavior, for large time values, of the solutions of the Korteweg–de Vries equation with dissipation”, Differ. Uravn., 29:2 (1993), 306–319 ; Differ. Equ., 29:2 (1993), 253–263 |
29. |
P. I. Naumkin, I. A. Shishmarev, “Asymptotic, as $t\to\infty$, of the solution of a nonlinear equation with weak dissipation and dispersion”, Izv. RAN. Ser. Mat., 57:6 (1993), 52–63 ; Russian Acad. Sci. Izv. Math., 43:3 (1994), 443–453 |
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30. |
P. I. Naumkin, “Large-time asymptotic of solutions of the nonlinear Schrodinger equation in $2+1$ dimensions”, Izv. RAN. Ser. Mat., 57:5 (1993), 197–209 ; Russian Acad. Sci. Izv. Math., 43:2 (1994), 373–384 |
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1992 |
31. |
P. I. Naumkin, I. A. Shishmarev, “On the stability of solutions of traveling wave type for the Kuramoto–Sivashinskii equation”, Dokl. Akad. Nauk, 323:2 (1992), 266–269 ; Dokl. Math., 37:3 (1992), 129–130 |
32. |
P. I. Naumkin, I. A. Shishmarev, “On the destruction of surface waves”, Differ. Uravn., 28:5 (1992), 886–892 ; Differ. Equ., 28:5 (1992), 722–728 |
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33. |
P. I. Naumkin, I. A. Shishmarev, “Generalized solutions for the Whitham equation”, Differ. Uravn., 28:1 (1992), 121–126 ; Differ. Equ., 28:1 (1992), 115–120 |
34. |
P. I. Naumkin, I. A. Shishmarev, “О распаде ступеньки для уравнения Кортевега–де Фриза–Бюргерса”, Funktsional. Anal. i Prilozhen., 26:2 (1992), 88–93 |
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1991 |
35. |
P. I. Naumkin, I. A. Shishmarev, “On the asymptotic behavior as $t\to\infty$ of solutions of some
nonlinear equations”, Dokl. Akad. Nauk SSSR, 321:2 (1991), 290–293 ; Dokl. Math., 36:11 (1991), 755–756 |
1
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36. |
P. I. Naumkin, I. A. Shishmarev, “The step-decay problem for the Korteweg-de Vries-Burgers equation”, Funktsional. Anal. i Prilozhen., 25:1 (1991), 21–32 ; Funct. Anal. Appl., 25:1 (1991), 16–25 |
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37. |
P. I. Naumkin, I. A. Shishmarev, “Asymptotic for large time of solutions of a system of equations for surface waves”, Izv. Akad. Nauk SSSR Ser. Mat., 55:3 (1991), 537–559 ; Math. USSR-Izv., 38:3 (1992), 525–551 |
4
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38. |
P. I. Naumkin, I. A. Shishmarev, “The asymptotics as $t\to\infty$ of solutions of a nonlinear nonlocal Schrödinger equation”, Mat. Sb., 182:7 (1991), 1024–1042 ; Math. USSR-Sb., 73:2 (1992), 393–413 |
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1990 |
39. |
P. I. Naumkin, I. A. Shishmarev, “On the asymptotic behavior for large time values of solutions of a
system of equations of surface waves”, Dokl. Akad. Nauk SSSR, 315:6 (1990), 1357–1360 ; Dokl. Math., 35:12 (1990), 1039–1040 |
40. |
P. I. Naumkin, I. A. Shishmarev, “On a system of equations describing surface waves”, Izv. Akad. Nauk SSSR Ser. Mat., 54:4 (1990), 774–809 ; Math. USSR-Izv., 37:1 (1991), 119–156 |
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41. |
P. I. Naumkin, I. A. Shishmarev, “The Cauchy problem for the Whitham equation. II”, Mat. Model., 2:9 (1990), 88–104 |
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42. |
P. I. Naumkin, I. A. Shishmarev, “The Cauchy problem for Whitham equation. I”, Mat. Model., 2:9 (1990), 70–87 |
1
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43. |
P. I. Naumkin, I. A. Shishmarev, “Asymptotic behavior of the solutions of the Whithem's equation for large time”, Mat. Model., 2:3 (1990), 75–88 |
6
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1989 |
44. |
P. I. Naumkin, I. A. Shishmarev, “Asymptotic for $t\to\infty$ of solutions to generalized Kolmogorov–Vlasov–Piskunov equation”, Mat. Model., 1:6 (1989), 109–125 |
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45. |
P. I. Naumkin, I. A. Shishmarev, “Asymptotic behavior, as $t\to\infty,$ of solutions of nonlinear evolution equations with dissipation”, Mat. Zametki, 45:4 (1989), 118–121 |
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46. |
P. I. Naumkin, I. A. Shishmarev, “A periodic problem for Whitham's equation”, Mat. Sb., 180:7 (1989), 946–968 ; Math. USSR-Sb., 67:2 (1990), 403–426 |
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1988 |
47. |
P. I. Naumkin, I. A. Shishmarev, “A system of equations of surface waves”, Dokl. Akad. Nauk SSSR, 301:4 (1988), 788–793 ; Dokl. Math., 38:1 (1989), 147–151 |
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48. |
P. I. Naumkin, I. A. Shishmarev, “A periodic problem for the Whitham equation”, Dokl. Akad. Nauk SSSR, 299:5 (1988), 1063–1065 ; Dokl. Math., 37:2 (1988), 526–528 |
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1987 |
49. |
P. I. Naumkin, “Whitham's equation with a singular kernel”, Zh. Vychisl. Mat. Mat. Fiz., 27:4 (1987), 633–636 ; U.S.S.R. Comput. Math. Math. Phys., 27:2 (1987), 209–211 |
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1986 |
50. |
P. I. Naumkin, I. A. Shishmarev, “On the existence and destruction of waves that can be described by
the Whitham equation”, Dokl. Akad. Nauk SSSR, 288:1 (1986), 90–95 |
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1985 |
51. |
P. I. Naumkin, I. A. Shishmarev, “The Whitham equation with a singular kernel and small interaction”, Differ. Uravn., 21:10 (1985), 1818–1819 |
1
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52. |
P. I. Naumkin, I. A. Shishmarev, “Breaking of waves for the Whitham equation with singular kernel. II”, Differ. Uravn., 21:10 (1985), 1775–1790 |
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53. |
P. I. Naumkin, I. A. Shishmarev, “Breaking of waves for the Whitham equation with singular kernel. I”, Differ. Uravn., 21:3 (1985), 499–508 |
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1983 |
54. |
P. I. Naumkin, I. A. Shishmarev, “On the Cauchy problem for the Whitham equation”, Dokl. Akad. Nauk SSSR, 273:4 (1983), 804–807 |
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1982 |
55. |
P. I. Naumkin, I. A. Shishmarev, “On the breaking of waves for the Whitham equation”, Dokl. Akad. Nauk SSSR, 265:4 (1982), 809–811 |
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Organisations |
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