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Publications in Math-Net.Ru |
Citations |
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1997 |
| 1. |
M. Lampis, D. Ya. Petrina, “The Boltzmann–Grad limit for equilibrium states of systems of hard spheres in framework of canonical ensemble”, Mat. Fiz. Anal. Geom., 4:1/2 (1997), 112–132  |
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1996 |
| 2. |
D. Ya. Petrina, V. I. Gredzhuk, “On two models of interacting Bose gas: Bogolyubov's model of superfluidity and Huang-Yang–Luttinger model”, Mat. Fiz. Anal. Geom., 3:3/4 (1996), 370–405  |
1
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1990 |
| 3. |
D. Ya. Petrina, V. I. Gerasimenko, V. Z. Ènol'skii, “Equations of motion of a class of quantum-classical systems”, Dokl. Akad. Nauk SSSR, 315:1 (1990), 75–80  ; Dokl. Math., 35:11 (1990), 925–927 |
| 4. |
D. Ya. Petrina, V. I. Gerasimenko, “Mathematical problems of statistical mechanics of a system of elastic balls”, Uspekhi Mat. Nauk, 45:3(273) (1990), 135–182 ; Russian Math. Surveys, 45:3 (1990), 153–211  |
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| 5. |
V. I. Gerasimenko, D. Ya. Petrina, “Existence of the Boltzmann–Grad limit for an infinite system of hard spheres”, TMF, 83:1 (1990), 92–114 ; Theoret. and Math. Phys., 83:1 (1990), 402–418 |
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1989 |
| 6. |
D. Ya. Petrina, “The thermodynamic limit of solutions of the Bogolyubov equations”, Trudy Mat. Inst. Steklov., 191 (1989), 192–200 ; Proc. Steklov Inst. Math., 191 (1992), 213–221 |
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1988 |
| 7. |
P. V. Malyshev, D. Ya. Petrina, “The thermodynamic limit for nonequilibrium distribution functions
for three-dimensional classical systems of interacting particles”, Dokl. Akad. Nauk SSSR, 301:3 (1988), 585–589 ; Dokl. Math., 33:7 (1988), 501–503 |
1
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| 8. |
D. Ya. Petrina, A. V. Mishchenko, “Exact solutions of a class of Boltzmann equations”, Dokl. Akad. Nauk SSSR, 298:2 (1988), 338–342 ; Dokl. Math., 33:1 (1988), 32–33 |
2
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| 9. |
A. V. Mishchenko, D. Ya. Petrina, “Linearization and exact solutions of a class of Boltzmann equations”, TMF, 77:1 (1988), 135–153 ; Theoret. and Math. Phys., 77:1 (1988), 1096–1109 |
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1987 |
| 10. |
D. Ya. Petrina, V. I. Gerasimenko, “The Boltzmann–Grad limit of the states of an infinite system of elastic balls”, Dokl. Akad. Nauk SSSR, 297:2 (1987), 336–340 |
1
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1985 |
| 11. |
D. Ya. Petrina, V. I. Gerasimenko, “Thermodynamic limit of nonequilibrium states of a
three-dimensional system of elastic spheres”, Dokl. Akad. Nauk SSSR, 282:1 (1985), 57–60 |
| 12. |
V. I. Gerasimenko, D. Ya. Petrina, “Thermodynamic limit of nonequilibrium states of a three-dimensional system of elastic spheres”, TMF, 64:1 (1985), 130–149 ; Theoret. and Math. Phys., 64:1 (1985), 734–747 |
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1984 |
| 13. |
E. D. Belokolos, D. Ya. Petrina, “On the relation between the approximating Hamiltonian method and
the finite-zone integration method”, Dokl. Akad. Nauk SSSR, 275:3 (1984), 580–582 |
| 14. |
D. Ya. Petrina, “Distribution functions of systems of charged particles in a spatially inhomogeneous medium”, TMF, 59:1 (1984), 104–116 ; Theoret. and Math. Phys., 59:1 (1984), 387–395 |
2
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| 15. |
E. D. Belokolos, D. Ya. Petrina, “Connection between the approximating Hamiltonian method and theta-function integration”, TMF, 58:1 (1984), 61–71 ; Theoret. and Math. Phys., 58:1 (1984), 40–46 |
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| 16. |
D. Ya. Petrina, “Solution of a classical problem of electrostatics by means of a subtractive procedure”, Zh. Vychisl. Mat. Mat. Fiz., 24:5 (1984), 709–721 ; U.S.S.R. Comput. Math. Math. Phys., 24:3 (1984), 53–61 |
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1983 |
| 17. |
D. Ya. Petrina, “Solution of a classical problem of electrostatics and the subtraction procedure”, Dokl. Akad. Nauk SSSR, 270:1 (1983), 78–82 |
| 18. |
D. Ya. Petrina, V. I. Gerasimenko, “A mathematical description of the evolution of the state of infinite systems of classical statistical mechanics”, Uspekhi Mat. Nauk, 38:5(233) (1983), 3–58 ; Russian Math. Surveys, 38:5 (1983), 1–61 |
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1980 |
| 19. |
D. Ya. Petrina, A. L. Rebenko, “Projection-iteration method of solution of the equations of quantum field theory and its connection with the theory of renormalization. The equations of quantum field theory and improperly posed problems of mathematical physics”, TMF, 42:2 (1980), 167–183 ; Theoret. and Math. Phys., 42:2 (1980), 110–120 |
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| 20. |
V. I. Gerasimenko, D. Ya. Petrina, “Statistical mechanics of quantum-classical systems. Nonequilibrium systems”, TMF, 42:1 (1980), 88–100 ; Theoret. and Math. Phys., 42:1 (1980), 58–66 |
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1979 |
| 21. |
D. Ya. Petrina, “Mathematical description of the evolution of infinite systems of classical statistical physics. I. Locally perturbed one-dimensional systems”, TMF, 38:2 (1979), 230–250 ; Theoret. and Math. Phys., 38:2 (1979), 153–166 |
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1978 |
| 22. |
N. N. Bogolyubov (Jr.), D. Ya. Petrina, “On a class of model systems that admit a lowering of powers in the Hamiltonian in the thermodynamic limit. II”, TMF, 37:2 (1978), 246–257 ; Theoret. and Math. Phys., 37:2 (1978), 998–1005 |
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1977 |
| 23. |
N. N. Bogolyubov (Jr.), D. Ya. Petrina, “On a class of model systems that admit a lowering of powers in the Hamiltonian in the thermodynamic limit. I”, TMF, 33:2 (1977), 231–245 ; Theoret. and Math. Phys., 33:2 (1977), 990–999 |
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1976 |
| 24. |
A. K. Vidybida, D. Ya. Petrina, “Cauchy problem for a chain of Bogolyubov equations”, Dokl. Akad. Nauk SSSR, 228:3 (1976), 573–575 |
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1975 |
| 25. |
D. Ya. Petrina, A. K. Vidybida, “The Cauchy problem for Bogoljubov's kinetic equations”, Trudy Mat. Inst. Steklov., 136 (1975), 370–378 |
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| 26. |
S. S. Ivanov, D. Ya. Petrina, A. L. Rebenko, “$S$ matrix in constructive quantum field theory”, TMF, 23:2 (1975), 160–177 ; Theoret. and Math. Phys., 23:2 (1975), 422–434 |
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1974 |
| 27. |
S. S. Ivanov, D. Ya. Petrina, A. L. Rebenko, “On equations for the coefficient functions of the $S$-matrix in quantum field theory”, TMF, 19:1 (1974), 37–46 ; Theoret. and Math. Phys., 19:1 (1974), 332–339 |
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1973 |
| 28. |
D. Ya. Petrina, S. S. Ivanov, “The existence of thermodynamic limits in certain models of quantum field theory”, Dokl. Akad. Nauk SSSR, 210:1 (1973), 59–61 |
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1972 |
| 29. |
D. Ya. Petrina, “On solutions of Bogolyubov's kinetic equations quantum statistics”, TMF, 13:3 (1972), 391–405 ; Theoret. and Math. Phys., 13:3 (1972), 1218–1228 |
12
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| 30. |
D. Ya. Petrina, V. P. Yatsishin, “On the model Hamiltonian of the theory of superconductivity”, TMF, 10:2 (1972), 283–300 ; Theoret. and Math. Phys., 10:2 (1972), 189–200 |
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1971 |
| 31. |
D. Ya. Petrina, V. I. Skripnik, “Kirkwood–Salzburg equations for the coefficient functions of the $S$ matrix”, TMF, 8:3 (1971), 369–380 ; Theoret. and Math. Phys., 8:3 (1971), 896–904 |
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1970 |
| 32. |
D. Ya. Petrina, “Hamiltonians of quantum statistics and the model Hamiltonian of the theory of superconductivity”, TMF, 4:3 (1970), 394–411 ; Theoret. and Math. Phys., 4:2 (1970), 916–928 |
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1969 |
| 33. |
S. S. Ivanov, D. Ya. Petrina, “Equations arising in the summation of perturbation-theory series for the scattering matrix”, Dokl. Akad. Nauk SSSR, 188:4 (1969), 776–779 |
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| 34. |
N. N. Bogolyubov, D. Ya. Petrina, B. I. Khatset, “Mathematical description of the equilibrium state of classical systems on the basis of the canonical ensemble formalism”, TMF, 1:2 (1969), 251–274 ; Theoret. and Math. Phys., 1:2 (1969), 194–212 |
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1968 |
| 35. |
D. Ya. Petrina, “On summation of the contributions from the Feynman diagrams. An
existence theorem”, Izv. Akad. Nauk SSSR Ser. Mat., 32:5 (1968), 1052–1074 ; Math. USSR-Izv., 2:5 (1968), 1005–1025 |
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1967 |
| 36. |
D. Ya. Petrina, “Completeness of perturbation theory amplitudes in amplitude space”, Dokl. Akad. Nauk SSSR, 173:2 (1967), 295–297 |
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1966 |
| 37. |
D. Ya. Petrina, “Holomorphic continuation of Feinman's diagram contributions”, Dokl. Akad. Nauk SSSR, 168:2 (1966), 308–309 |
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1963 |
| 38. |
D. Ya. Petrina, “Analytic properties of contributions from Feynman diagrams”, Dokl. Akad. Nauk SSSR, 149:4 (1963), 808–811 |
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1962 |
| 39. |
D. Ya. Petrina, “Analytical properties of partial waves of scattering amplitude in excitation theory”, Dokl. Akad. Nauk SSSR, 144:4 (1962), 755–758 |
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