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Petrina, Dmitri Yakovych

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Author ID: petrina.dmitri-ya Recent zbMATH articles by "Petrina, Dmitri Yakovych"
Published as: Petrina, D. Ya.; Petrina, D. Ja.; Petrina, D. J.; Petryna, Dmytro Yakovych; Petrina, Dmitri Ya.
External Links: Math-Net.Ru
Documents Indexed: 75 Publications since 1958, including 10 Books
Biographic References: 4 Publications

Publications by Year

Citations contained in zbMATH Open

35 Publications have been cited 97 times in 59 Documents Cited by Year
Many-particle dynamics and kinetic equations. Zbl 0933.82001
Cercignani, C.; Gerasimenko, V. I.; Petrina, D. Ya.
20
1997
Mathematical foundations of quantum statistical mechanics. Continuous systems. (Matematicheskie osnovy kvantovoj statisticheskoj mekhaniki. Nepreryvnye sistemy.) Zbl 0872.00014
Petrina, D. Ya.
10
1995
Mathematical foundations of classical statistical mechanics. (Matematicheskie osnovy klassicheskoj statisticheskoj mekhaniki.) Zbl 0728.46054
Petrina, D. Ya.; Gerasimenko, V. I.; Malyshev, P. V.
10
1985
Mathematical foundations of classical statistical mechanics: continuous systems. Transl. from the Russian by P. V. Malyshev and D. V. Malyshev. Zbl 0728.46053
Petrina, D. Ya.; Gerasimenko, V. I.; Malyshev, P. V.
9
1989
A mathematical description of the evolution of the state of infinite systems of classical statistical mechanics. Zbl 0552.35069
Petrina, D. Ya.; Gerasimenko, V. I.
5
1983
Mathematical problems of statistical mechanics of a system of elastic balls. Zbl 0746.35049
Petrina, D. Ya.; Gerasimenko, V. I.
4
1990
Mathematical foundations of classical statistical mechanics: continuous systems. Transl. from the Russian by P. V. Malyshev and D. V. Malyshev. 2nd ed. Zbl 1031.82002
Petrina, D. Ya.; Gerasimenko, V. I.; Malyshev, P. V.
3
2002
Über die Unmöglichkeit der Konstruktion einer nichtlokalen Feldtheorie mit positivem Spektrum des Energie-Impulsoperators. Zbl 0100.41010
Petrina, D. Ja.
3
1961
Stochastic dynamics and Boltzmann hierarchy. I. Zbl 0915.76077
Petrina, D. Ya.; Petrina, K. D.
2
1998
On Hamiltonians of quantum statistics and model Hamiltonian of the theory of super-conductivity. Zbl 0201.58503
Petrina, D. Ya.
2
1970
Stochastic dynamics and Boltzmann hierarchy. Zbl 1199.82001
Petrina, D. Ya.
2
2008
Linearization and exact solutions of a class of Boltzmann equations. Zbl 0850.76622
Mishchenko, A. V.; Petrina, D. Ya.
2
1988
The Källén-Lehmann theorem in a space with indefinite metric. Zbl 0086.42805
Parasyuk, O. S.; Petrina, D. Ya.; Tatsunyak, P. I.
2
1958
The Boltzmann-Grad limit of equilibrium states. Zbl 0663.76084
Petrina, D. Ya.; Gerasimenko, V. I.
2
1988
Spectrum and states of the BCS Hamiltonian with sources. Zbl 1240.82001
Petrina, D. Ya.
1
2008
On the Boltzmann-Grad limit theorem. Zbl 0702.60099
Petrina, D. Ya.; Gerasimenko, V. I.
1
1989
Stochastic dynamics and Boltzmann hierarchy. III. Zbl 0915.76079
Petrina, D. Ya.; Petrina, K. D.
1
1998
Analogue of the Liouville equation and BBGKY hierarchy for a system of hard spheres with inelastic collisions. Zbl 1102.82001
Petrina, D. Ya.; Caraffini, G. L.
1
2005
On two models of interacting Bose gas: Bogolyubov’s model of superfluidity and Huang-Yang-Luttinger model. Zbl 0894.76098
Petrina, D. Ya.; Gredzhuk, V. I.
1
1996
Solutions of the BBGKY hierarchy for a system of hard spheres with inelastic collisions. Zbl 1105.82023
Petrina, D. Ya.; Caraffini, G. L.
1
2006
The Cauchy problem for Bogoljubov’s kinetic equations. Zbl 0394.60100
Petrina, D. Ja.; Vidybida, A. K.
1
1978
Spectrum and states of the BCS Hamiltonian in finite domain. III: The BCS Hamiltonian with mean-field interaction. Zbl 1052.82036
Petrina, D. Ya.
1
2002
Stochastic dynamics and Boltzmann hierarchy. Translated from the Ukrainian by Dmitry V. Malyshev and Peter V. Malyshev. Zbl 1178.82002
Petrina, D. Ya.
1
2009
Quantum field theory. Textbook. (Квантовая теория поля. Учебное пособие.) Zbl 0591.35001
Petrina, D. Ya.
1
1984
Evolution of states of infinite systems in classical statistical mechanics. Zbl 0605.70012
Petrina, D. Ya.; Gerasimenko, V. I.
1
1985
On the solution of a classical problem of electrostatics by means of a subtraction process. Zbl 0556.35118
Petrina, D. Ya.
1
1984
BCS model Hamiltonian of the theory of superconductivity as a quadratic form. Zbl 1083.82034
Petrina, D. Ya.
1
2004
Methods for derivation of the stochastic Boltzmann hierarchy. Zbl 1150.76489
Petrina, D. Ya.
1
2000
Dispersionsrelationen für die nichtelastische Streuung in nichtrelativistischer Näherung. Zbl 0102.22603
Petrina, D. Ya.
1
1959
Lösung des inversen Beugungsproblems. Zbl 0138.35402
Petrina, D. Ya.
1
1960
Analytische Eigenschaften einer Klasse von Funktionen der Quantenfeldtheorie, die vermittels Integralen auf einer Mannigfaltigkeit definierr definiert sind. I, II. Zbl 0154.46002
Petrina, D. J.
1
1965
Completeness of perturbation theory amplitudes in amplitude space. Zbl 0161.23502
Petrina, D. Ya.
1
1967
Exact solutions of a class of Boltzmann equations. Zbl 0659.76087
Petrina, D. Ya.; Mishchenko, A. V.
1
1988
On linearization and exact solutions of a class of Boltzmann equations. Zbl 0674.76065
Mishchenko, A. V.; Petrina, D. Ya.
1
1988
N. N. Bogolyubov’s investigations in the field of mathematics and theoretical physics. Zbl 0692.01007
Vladimirov, V. S.; Mitropol’skiĭ, Yu. A.; Parasyuk, O. S.; Petrina, D. Ya.; Samoĭlenko, A. M.
1
1989
Stochastic dynamics and Boltzmann hierarchy. Translated from the Ukrainian by Dmitry V. Malyshev and Peter V. Malyshev. Zbl 1178.82002
Petrina, D. Ya.
1
2009
Stochastic dynamics and Boltzmann hierarchy. Zbl 1199.82001
Petrina, D. Ya.
2
2008
Spectrum and states of the BCS Hamiltonian with sources. Zbl 1240.82001
Petrina, D. Ya.
1
2008
Solutions of the BBGKY hierarchy for a system of hard spheres with inelastic collisions. Zbl 1105.82023
Petrina, D. Ya.; Caraffini, G. L.
1
2006
Analogue of the Liouville equation and BBGKY hierarchy for a system of hard spheres with inelastic collisions. Zbl 1102.82001
Petrina, D. Ya.; Caraffini, G. L.
1
2005
BCS model Hamiltonian of the theory of superconductivity as a quadratic form. Zbl 1083.82034
Petrina, D. Ya.
1
2004
Mathematical foundations of classical statistical mechanics: continuous systems. Transl. from the Russian by P. V. Malyshev and D. V. Malyshev. 2nd ed. Zbl 1031.82002
Petrina, D. Ya.; Gerasimenko, V. I.; Malyshev, P. V.
3
2002
Spectrum and states of the BCS Hamiltonian in finite domain. III: The BCS Hamiltonian with mean-field interaction. Zbl 1052.82036
Petrina, D. Ya.
1
2002
Methods for derivation of the stochastic Boltzmann hierarchy. Zbl 1150.76489
Petrina, D. Ya.
1
2000
Stochastic dynamics and Boltzmann hierarchy. I. Zbl 0915.76077
Petrina, D. Ya.; Petrina, K. D.
2
1998
Stochastic dynamics and Boltzmann hierarchy. III. Zbl 0915.76079
Petrina, D. Ya.; Petrina, K. D.
1
1998
Many-particle dynamics and kinetic equations. Zbl 0933.82001
Cercignani, C.; Gerasimenko, V. I.; Petrina, D. Ya.
20
1997
On two models of interacting Bose gas: Bogolyubov’s model of superfluidity and Huang-Yang-Luttinger model. Zbl 0894.76098
Petrina, D. Ya.; Gredzhuk, V. I.
1
1996
Mathematical foundations of quantum statistical mechanics. Continuous systems. (Matematicheskie osnovy kvantovoj statisticheskoj mekhaniki. Nepreryvnye sistemy.) Zbl 0872.00014
Petrina, D. Ya.
10
1995
Mathematical problems of statistical mechanics of a system of elastic balls. Zbl 0746.35049
Petrina, D. Ya.; Gerasimenko, V. I.
4
1990
Mathematical foundations of classical statistical mechanics: continuous systems. Transl. from the Russian by P. V. Malyshev and D. V. Malyshev. Zbl 0728.46053
Petrina, D. Ya.; Gerasimenko, V. I.; Malyshev, P. V.
9
1989
On the Boltzmann-Grad limit theorem. Zbl 0702.60099
Petrina, D. Ya.; Gerasimenko, V. I.
1
1989
N. N. Bogolyubov’s investigations in the field of mathematics and theoretical physics. Zbl 0692.01007
Vladimirov, V. S.; Mitropol’skiĭ, Yu. A.; Parasyuk, O. S.; Petrina, D. Ya.; Samoĭlenko, A. M.
1
1989
Linearization and exact solutions of a class of Boltzmann equations. Zbl 0850.76622
Mishchenko, A. V.; Petrina, D. Ya.
2
1988
The Boltzmann-Grad limit of equilibrium states. Zbl 0663.76084
Petrina, D. Ya.; Gerasimenko, V. I.
2
1988
Exact solutions of a class of Boltzmann equations. Zbl 0659.76087
Petrina, D. Ya.; Mishchenko, A. V.
1
1988
On linearization and exact solutions of a class of Boltzmann equations. Zbl 0674.76065
Mishchenko, A. V.; Petrina, D. Ya.
1
1988
Mathematical foundations of classical statistical mechanics. (Matematicheskie osnovy klassicheskoj statisticheskoj mekhaniki.) Zbl 0728.46054
Petrina, D. Ya.; Gerasimenko, V. I.; Malyshev, P. V.
10
1985
Evolution of states of infinite systems in classical statistical mechanics. Zbl 0605.70012
Petrina, D. Ya.; Gerasimenko, V. I.
1
1985
Quantum field theory. Textbook. (Квантовая теория поля. Учебное пособие.) Zbl 0591.35001
Petrina, D. Ya.
1
1984
On the solution of a classical problem of electrostatics by means of a subtraction process. Zbl 0556.35118
Petrina, D. Ya.
1
1984
A mathematical description of the evolution of the state of infinite systems of classical statistical mechanics. Zbl 0552.35069
Petrina, D. Ya.; Gerasimenko, V. I.
5
1983
The Cauchy problem for Bogoljubov’s kinetic equations. Zbl 0394.60100
Petrina, D. Ja.; Vidybida, A. K.
1
1978
On Hamiltonians of quantum statistics and model Hamiltonian of the theory of super-conductivity. Zbl 0201.58503
Petrina, D. Ya.
2
1970
Completeness of perturbation theory amplitudes in amplitude space. Zbl 0161.23502
Petrina, D. Ya.
1
1967
Analytische Eigenschaften einer Klasse von Funktionen der Quantenfeldtheorie, die vermittels Integralen auf einer Mannigfaltigkeit definierr definiert sind. I, II. Zbl 0154.46002
Petrina, D. J.
1
1965
Über die Unmöglichkeit der Konstruktion einer nichtlokalen Feldtheorie mit positivem Spektrum des Energie-Impulsoperators. Zbl 0100.41010
Petrina, D. Ja.
3
1961
Lösung des inversen Beugungsproblems. Zbl 0138.35402
Petrina, D. Ya.
1
1960
Dispersionsrelationen für die nichtelastische Streuung in nichtrelativistischer Näherung. Zbl 0102.22603
Petrina, D. Ya.
1
1959
The Källén-Lehmann theorem in a space with indefinite metric. Zbl 0086.42805
Parasyuk, O. S.; Petrina, D. Ya.; Tatsunyak, P. I.
2
1958
all top 5

Cited by 81 Authors

7 Gerasimenko, Viktor Ivanovich
4 Rebenko, Alexei L.
3 Kuzemsky, Alexander Leonidovich
3 Tarasov, Vasily E.
3 Trushechkin, Anton Sergeevich
3 Venturi, Daniele
2 Denlinger, Ryan
2 Gubal’, G. N.
2 Lachowicz, Mirosław
2 Malyshev, Peter V.
2 Polishchuk, D. O.
2 Rasulova, Mukhayo
2 Simonella, Sergio
1 Abadi, A. Khatoon
1 Agafonov, A. I.
1 Avazov, U. A.
1 Azizov, Tomas Ya.
1 Boelens, Arnout M. P.
1 Bogolyubov, Nikolaĭ Nikolaevich jun.
1 Borgioli, Giovanni
1 Borgonovi, Fausto
1 Brokate, Martin
1 Bru, Jean-Bernard
1 Cho, Heyrim
1 Dominy, Jason M.
1 Fabrizio, Mauro
1 Gaĭshun, Ivan Vasil’vich
1 Gallagher, Isabelle
1 Gapyak, Igor V.
1 Gerasymenko, V. I.
1 Golgoii, F.
1 Gordevskij, V. G.
1 Gordevskiĭ, Vyacheslav Dmitrievich
1 Gorzelańczyk, Marek
1 Grushka, Yaroslav I.
1 Hurd, Albert E.
1 Il’in, Vladimir Aleksandrovich
1 Iokhvidov, I. S.
1 Izobov, Nikolaĭ Alekseevich
1 Izrailev, Felix M.
1 Kalmykov, Georgiy I.
1 Karniadakis, George Em
1 Kochubeĭ, Anatoliĭ Naumovych
1 Kondrat’yev, Yuriĭ Grygorovych
1 Korolyuk, Volodymyr Semenovych
1 Koshlyakov, Vladimir Nikolaevich
1 Kostrobii, P. P.
1 Kuna, Tobias
1 Långvik, Miklos
1 Lauro, Giuliana
1 Mamontov, Eugen
1 Markiv, B. B.
1 Mehrpooya, Mohammad
1 Mytropol’skyĭ, Yuriĭ Oleksiĭovych
1 Monaco, Roberto
1 Morovvatpoor, A.
1 Moszyński, Marcin
1 Oliveira, Maria João
1
1 Petrina, Dmitri Yakovych
1 Pulvirenti, Mario
1 Rasulova, M. Yu.
1 Rezazadeh, H. R.
1 Ryabukha, Tatiana V.
1 Saffirio, Chiara
1 Shtyk, V. O.
1 Slater, Paul B.
1 Stashenko, M. A.
1 Tartakovsky, Daniel M.
1 Tertychnyi, M. V.
1 Tokarchuk, M. V.
1 Tsvir, Zh A.
1 Tureanu, Anca
1 Viznovych, O. V.
1 Volchan, Sérgio B.
1 Weiland, Michèle
1 Willander, Magnus
1 Zagorodny, A. G.
1 Zagrebnov, Valentin A.
1 Zahabi, Ali
1 Zelevinsky, V. G.

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