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On the 100th anniversary of birthday of academician Nikolai Nikolaevich Bogolyubov (1909–2009)

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List of N.N. Bogolyubov’s Selected Publications

  • “Sur la justification du principe de Rayleigh par l’ordre de l’erreur commise la n-iéme approximation,” Compt. Rend. Acad. Sci 183, 476–479 (1926) (with N. M. Krylov).

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  • “On Rayleigh’s Principle in the Theory of Differential Equations of Mathematical Physics and Euler’s Method in Calculus of Variations,” Tr. Fiz.-Mat. Vidd. Vseukr. Akad. Nauk 3(3), 39–57 (1926).

  • “Approximate Solution of Differential Equations,” Tr. Fiz.-Mat. Vidd. Vseukr. Akad. Nauk 5(5) (1927).

  • “Sur quelques criteres, concernant l’existance des dérivees d’une function d’une variable reelle,” Collected Papers of the Section of Mathematics, Medicine and Natural Sciences of Shevchenko Scientific Society (Lviv, 1928), pp. 215–221 (with N. M. Krylov).

  • “Sur les methods des differences finies pour la résolution approchee des problemes fondamentaux de la physique mathémetique,” Compt. Rend. Acad. Sci. (Paris) 186, 422–425 (1928) (with N. M. Krylov).

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  • “Sur la theorie mathématique des oscillographes,” Compt. Rend. Acad. Sci. (Paris) 187, 938–940 (1928) (with N. M. Krylov).

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  • “On Rayleigh’s Principle in the Theory of Differential Equations of Mathematical Physics and on Euler’s Method in Calculus of Variations,” Ann. Math. Ser. II 29, 255–276 (1928) (with N. M. Krylov).

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  • “Sopra il methodo dei coefficienti constanti (methodo dei tronconi) per l’integrazione approsimata delle equazioni differenziali della fisica mathematica,” Boll. Un. Math. Ital. 7(1), 72–77 (1928) (with N. M. Krylov).

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  • “La solution approchee du probleme de Dirichlet,” Dokl. Akad. Nauk SSSR A, No. 12, 284–288 (1929) (with N. M. Krylov).

  • “Sur le calcul des raciness de la transcendante de Fredholm les plus voisines d’un nombre donne par des methods des moindres carres et de l’algorithme variationnel,” Izv. Akad. Nauk SSSR Otd. Fiz. Mat. Nauk, No. 5, 471–488 (1929) (with N. M. Krylov).

  • “Sur l’approximation des functions par des sommes trigonometriques,” Dokl. Akad. Nauk SSSR A, No. 6, 147–152 (1930).

  • “Application de la methode de l’algorithme variationel a la solution approchee des equations differentiielles aux derives partielles du type elliptique. Estimation des erreurs qu’on commet en s’arretant a la n-eme approximation dans le calcul des valeurs et des functions singulieres. Cas general de l’equation non homogene,” I: Izv. Akad. Nauk SSSR Otd. Fiz. Mat. Nauk, No. 1, 43–71; II: No. 2, 105–114 (1930) (with N. M. Krylov).

  • “On the Synchronization Theory,” Zap. Fiz.-Mat. Vidd. Vseukr. Akad. Nauk 4, 299–302 (1930) (with N. M. Krylov).

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  • “La solution approchee du probleme de Dirichlet (Resume),” Vortrage aus dem Gebiete der Aerodynamik und verwandter Gebiete. Aachen (1929) (Springer-Verlag, Berlin 1930), pp. 53–55 (with N. M. Krylov).

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  • “Application de la méthode des réduites la solution approchee des équations differentielles aux derives partielles du type elliptique,” Vortrage aus dem Gebite der Aerodynamik und verwandter Gebriete. Aachen, 1929 (Springer-Verlag, Berlin, 1930), pp. 55–57 (with N. M. Krylov).

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  • “Sur quelques méthodes nouvelles dans le calcul dés variations,” Ann Math. Pura Appl. Ser. IV 7, 249–271(1930).

  • “Sur l’approximation trigonometrique des functions dans l’intervalle infiini,” Izv. Akad. Nauk SSSR OMEN, No. 1, 23–54; No. 2, 149–160 (1931) (with N. M. Krylov).

  • “On Some Theorems Concerning the Existence of Integrals of Hyperbolic Partial Differential Equations,” Izv. Akad. Nauk SSSR OMEN, No. 3, 323–344 (1931) (with N. M. Krylov).

  • “Determination of Maximum Values of Some Quantities (Displacements, Moments, etc.) Using Special Methods Reducing Their Majorants,” Izv. Akad. Nauk SSSR OMEN, No. 6, 771–785 (1931) (with N. M. Krylov).

  • “Sur un probleme de l’électrostatique, Tr. Khar’kov. Elrktrotekh. Inst., No. 1, 7–19 (1931) (with N. M. Krylov).

  • “Sur l’application des methods directes quelques problemes du calcul des variations,” Ann. Math. Pura Appl. Ser. IV 9, 195–241 (1931).

  • Investigation of the Longitudinal Stability of Aircraft (Aviaavtoizdat, Moscow, 1932) (with N. M. Krylov) [in Russian].

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  • Basic Problems in Nonlinear Mechanics (Gostekhizdat, Moscow, 1932) [in Russian].

  • New Methods in the Calculus of Variations (Tekhnteorizat, Kiev, 1932) [in Ukrainian].

  • Oscillations of Synchronous Machines. 2: On the Stability of Parallel Operation of Synchronous Machines (Energovidav, Kharkov, 1932) (with N. M. Krylov).

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  • Méthodes nouvelles pour la solution quelques problemes mathématiques se rencontrant dans la science des constructions (Kiev, 1932) (with N. M. Krylov) [in French].

  • “Recherches sur la stabilite statique et la stabilite dynamique des machines synchrones,” Compt. Rend. Travaux de la Troisieme section (Gauthier-Villars, Paris, 1932), pp. 179–205 (Congres internat. d’electricite 4, 3 Sect. T. 1. Rap. No. 14) (with N. M. Krylov).

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  • “Fundamental Problems of the Nonlinear Mechanics,” Congres Internat. des Math. (Zurich, 1932), Vol. 2, pp. 270–272 (with N. M. Krylov).

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  • “Quelques exemples d’oscillation non linéares,” Compt. Rend. Acad. Sci. (Paris) 194, 957–960 (1932) (with N. M. Krylov).

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  • “Sur le théoreme fundamental de l’algebra,” Boll. Un. Math. Ital. 5, 65–66 (1932).

  • New Methods for Solving Some Mathematical Problems Encountered in Engineering (Budvidav, Kharkov, 1933) (with N. M. Krylov) [in Russian].

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  • “Fundamental Problems in Nonlinear Mechanics,” Izv. Akad. Nauk SSSR OMEN, No. 4, 475–498 (1933) (with N. M. Krylov).

  • “Sur quelques propriétes generales des resonances dans la mécanique non linéaire,” Compt. Rend. Acad. Sci. (Paris) 197, 908–910 (1933) (with N. M. Krylov).

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  • New Methods in Nonlinear Mechanics and Their Application to the Study of Operation of Electronic Generators (ONTI, Moscow, 1934), Part I (with N. M. Krylov) [in Russian].

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  • Application of Nonlinear Mechanics Methods to the Theory of Stationary Oscillations (Vseukr. Akad. Nauk, Kiev, 1934) (with N. M. Krylov) [in Russian].

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  • “Symbolic Methods in Nonlinear Mechanics and Their Application to the Study of Resonances in Electronic Generators,” Izv. Akad. Nauk SSSR OMEN, No. 1, 7–34 (1934) (with N. M. Krylov).

  • “Sur les solutions quasi-périodiques des équations de la mecanique non linéare,” Compt. Rend. Acad. Sci. (Paris) 199, 1592–1593 (1934) (with N. M. Krylov).

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  • “Uber einige Methoden der nicht linearen Mechanik in ihren Anwendungen zur Theorie der nicht linearen Resonanz,” Schweiz. Bauzig 103(22), 255–257 (1934); (23), 267–270 (1934) (with N. M. Krylov).

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  • “Study of Resonance in Transverse Vibrations of Rods Experiencing Periodic Normal Forces Applied to One of the Rod Ends,” in Studies of Structural Vibrations (Nauchn.-Tekh. Izd., Kharkov, 1935) (with N. M. Krylov).

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  • “New Methods in Nonlinear Mechanics and Their Application to the Study of Longitudinal Stability of Aircraft,” Proceedings of All-Union Conference on Aerodynamics, December 23–27, 1993 (Moscow, Tsentr. Aerogidrodin. Inst., 1993), Part I, pp. 101–109 (with N. M. Krylov).

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  • “Sur l’étude du cas de résonance dans les problémes de la mécanique non linéaire,” Compt. Rend. Acad. Sci. (Paris) 200, 113–115 (1935) (with N. M. Krylov).

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  • “Sur quelques théorems de la théorie génerale de la mesure,” Compt. Rend. Acad. Sci. (Paris) 201, 1002–1003(1935) (with N. M. Krylov).

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  • “Les measures invariants et la transivite,” Compt. Rend. Acad. Sci. (Paris) 201, 1454–1456 (1935) (with N. M. Krylov).

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  • “Méthodes de la méchanique non linéaire appliqués la theorie des oscillations stationnaires,” Cas. Pest. Math. 64, 107–115 (1935) (with N. M. Krylov).

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  • “Les measures invariantes et transitives dans la mécanique non linéaire,” Mat. Sb. I, No. 5, 707–710 (1936) (with N. M. Krylov).

  • “Les mouvements stationnaires généraux dans les systémes dynamiques de la mécanique non linéaire,” Compt. Rend. Acad. Sci. (Paris) 202, 200–201 (1936) (with N. M. Krylov).

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  • “Sur les propriétes ergodiques de l’équation de Smoluchovsky, Soc. Math. 64, 49–56 (1936) (with N. M. Krylov).

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  • “Upon Some New Results in the Domain of Nonlinear Mechanics,” Proc. Ind. Acad. Sci. Ser. A 3, 523–526 (1936) (with N. M. Krylov).

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  • “Application de la mécanique linéaire quelques problémes de la radiotechnique moderne,” Onde Electr. 15,508–531 (1936) (with N. M. Krylov).

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  • Introduction in Nonlinear Mechanics (Approximate and Asymptotic Methods in Nonlinear Mechanics) (Akad. Nauk Ukr. SSR, Kiev, 1937) (with N. M. Krylov) [in Ukrainian].

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  • “On Repeated Iteration with Variable Parameters, in Collected Papers on Nonlinear Mechanics (Akad. Nauk Ukr. SSR, Kiev, 1937), pp. 191–200 (with N. M. Krylov) [in Ukrainian].

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  • “Remarks on Rietz Theorem,” Nauk. Zap. Kiev. Derzh. Univ. 3(1) (1937); Fiz.-Mat. Zb., No. 3, 9–23 (1937).

  • “Sur les probabilitiés en chaine,” Compt. Rend. Acad. Sci. (Paris) 204, 1386–1388 (1937) (with N. M. Krylov).

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  • “Les proprietés ergodiques des suites de probabilitiés en chaine,” Compt. Rend. Acad. Sci. (Paris). 204, 1454–1456 (1937) (with N. M. Krylov).

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  • “La théorie generale de la mesure dans son application l’étude des systemes dynamiques de la mecanique non lineaire,” Ann. Math. Ser. II 38(1), 65–113 (1937) (with N. M. Krylov).

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  • “Fokker-Planck Equations Derived in Perturbation Theory by a Method Based on the Spectral Properties of a Perturbed Hamiltonian,” Zap. Kaf. Fiz. Akad. Nauk Ukr. SSR 4, 5–80 (1939) (with N. M. Krylov).

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  • “Some Problems in the Ergodic Theory of Stochastic Systems,” Zap. Kaf. Fiz. Akad. Nauk Ukr. SSR 4, 243–287 (1939) (with N. M. Krylov).

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  • “Certain Ergodic Properties of Continuous Transformation Groups,” Nauk. Zap. Kiev. Derzh. Univ. 4(5); Fiz.-Mat. Zb., No. 4, 45–52 (1939).

  • “The Steepest Descent Method as Applied to the Proof of Some Asymptotic Inequalities,” Nauk. Zap. Kiev. Derzh. Univ. 4(5); Fiz.-Mat. Zb., No. 4, 221–250 (1939) (with N. M. Krylov).

  • “On Linearization of Transitive Compact Transformation Groups,” Nauk. Zap. Mekh.-Mat. Kiev. Derzh. Univ. 5, 17–24 (1941).

  • “Asymptotic Inequalities Applied to Some Issues of Statistical Dynamics of Systems with a Large Number of Degrees of Freedom,” Nauk. Zap. Mekh.-Mat. Fak. Kiev. Derzh. Univ. 5, 49–68 (1941) (with N. M. Krylov).

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  • Introduction to Nonlinear Mechanics by N. Kryloff and N. Bogoliuboff: A Free Translation by Solomon Lefschets from Two Russia Monographs (Princeton Univ. Press, Princeton, 1943).

  • On Statistical Methods in Mathematical Physics (Akad. Nauk Ukr. SSR, Kiev, 1945) [in Russian].

  • “On Certain Limiting Distributions for Sums Depending on Arbitrary Phases,” Uch. Zap. Mosk. Gos. Univ. Fiz. 77(3), 43–50 (1945).

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  • “On the Influence of Random Force on a Harmonic Oscillator,” Uch. Zap. Mosk. Gos. Univ. Fiz. 77(3), 51–73 (1945).

  • “Statistical Perturbation Theory,” Uch. Zap. Mosk. Gos. Univ. Fiz. 77(3), 74–100 (1945).

  • Problems of Dynamic Theory in Statistical Physics (Gostekhizdat, Moscow, 1946) [in Russian].

  • “Expansions in Powers of a Small Parameter in Statistical Equilibrium Theory,” Zh. Eksp. Teor. Fiz. 16, 681–690 (1946).

  • “Kinetic Equations,” Zh. Eksp. Teor. Fiz. 16, 691–702 (1946).

  • “On the Theory of Superfluidity,” Izv. Akad. Nauk SSSR Ser. Fiz. 11(1), 77–90 (1947).

  • “Kinetic Equations in Quantum Mechanics,” Zh. Eksp. Teor. Fiz. 17, 614–628 (1947) (with K. P. Gurov).

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  • “Energy Levels of an Imperfect Bose-Einstein Gas,” Vestn. Mosk. Gos. Univ., No. 7, 43–53 (1947).

  • “On the Theory of Superfluidity,” J. Phys. 11(1), 23–32 (1947).

  • “Single-Frequency Free Oscillations in Nonlinear Systems with Many Degrees of Freedom,” Tr. Inst. Stroit. Mekh. Akad. Nauk Ukr. SSR 10, 9–21 (1948).

  • “Application of Methods of Nonlinear Mechanics to Kinetic Problems,” Zb. Prats. Inst. Bud. Mekh., No. 8, 3–17 (1948).

  • “On the Theory of Superfluidity,” Zb. Prats. Inst. Bud. Mekh., No. 9, 89–103 (1948).

  • “On Positive Completely Continuous Operators,” Zb. Prats. Inst. Bud. Mekh., No. 9, 130–139 (1948) (with S. G. Krein).

  • “Fluid Dynamic Equations in Statistical Mechanics,” Zb. Prats. Inst. Bud. Mekh., No. 10, 41–59 (1948).

  • “An Application of the Theory of Positive Definite Functions,” Tr. Inst. Mat. Akad. Nauk SSSR, No. 11, 113–120 (1948).

  • “Kinetic Equations in the Theory of Superfluidity,” Zh. Eksp. Teor. Fiz. 18, 622–630 (1948).

  • Lectures on Quantum Statistics (Rad. Shk., Kiev, 1949; Gordon and Breach, London, 1967/1970).

  • “An Application of Perturbation Theory to the Polar Model of Metals,” Zh. Eksp. Teor. Fiz. 19, 251–255 (1949) (with S. V. Tyablikov).

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  • “Approximate Method for Finding the Lowest Energy Levels of Electrons in Metals,” Zh. Eksp. Teor. Fiz. 19,256–258 (1949) (with S. V. Tyablikov).

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  • “Perturbation Theory Method for a Degenerate Level in the Polar Model of Metals,” Vestn. Mosk. Gos. Univ., No. 3, 35–48 (1949) (with S. V. Tyablikov).

  • “On the Elimination of the Self-energy Divergence in Nonrelativistic Field Theory,” Dokl. Akad. Nauk Ukr. SSR, No. 5, 10–16 (1949) (with S. V. Tyablikov).

  • “On the Invariant Formulation of Quantum Field Theory,” Dokl. Akad. Nauk SSSR 74, 681–684 (1950) (with V. L. Bonch-Bruevich and B. V. Medvedev).

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  • “Perturbation Theory in Nonlinear Mechanics,” Tr. Inst. Stroit. Mekh. Akad. Nauk Ukr. SSR, No. 14, 9–34 (1950).

  • “Oscillations,” in Mechanics in the USSR over Thirty Years: 1917–1947 (Gostekhizdat, Moscow, 1950), pp. 99–114 [in Russian].

  • “On a New Form of Adiabatic Perturbation Theory in the Problem of the Interaction of a Particle with a Quantized Field,” Ukr. Mat. Zh. 2(2), 3–24 (1950).

  • “On the Fundamental Equations of Relativistic Quantum Field Theory,” Dokl. Akad. Nauk SSSR 81, 757–760(1951).

  • “On a Class of Fundamental Equations of Relativistic Quantum Field Theory,” Dokl. Akad. Nauk SSSR 81, 1051–1018 (1951).

  • “Variational Equations of Quantum Field Theory,” Dokl. Akad. Nauk SSSR 82, 217–220 (1952).

  • “On the Representation of the Green-Schwinger Functions by Functional Integrals,” Dokl. Akad. Nauk SSSR 99, 225–226 (1954).

  • Asymptotic Methods in the Theory of Nonlinear Oscillations (Gostekhizdat, Moscow, 1955; Gordon and Breach, New York, 1962) (with Yu. A. Mitropol’skii).

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  • “On the Theory of Multiplication of Causal Singular Functions,” Dokl. Akad. Nauk SSSR 100, 25–28 (1955) (with O. S. Parasyuk).

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  • “On the Subtraction Formalism in the Multiplication of Causal Singular Functions,” Dokl. Akad. Nauk SSSR 100, 429–432 (1955) (with O. S. Parasyuk).

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  • “On the Renormalization Group in Quantum Electrodynamics,” Dokl. Akad. Nauk SSSR 103, 203–206 (1955) (with D. V. Shirkov).

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  • “Application of the Renormalization Group to Improving Perturbation Theory Formulas,” Dokl. Akad. Nauk SSSR 103, 391–394 (1955) (with D. V. Shirkov).

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  • “Lie-Type Model in Quantum Electrodynamics,” Dokl. Akad. Nauk SSSR 105, 685–688 (1955) (with D. V. Shirkov).

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  • “On the Condition of Causality in Quantum Field Theory,” Izv. Akad. Nauk SSSR Ser. Fiz. 19(2), 237–246 (1955).

  • “Equations with Variational Derivatives in Statistical Physics and Quantum Field Theory,” Vestn. Mosk. Gos. Univ., No. 4–5, 115–124 (1955).

  • “Issues of Quantum Field Theory I,” Usp. Fiz. Nauk 55(2), 149–214 (1955) (with D. V. Shirkov).

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  • “Issues of Quantum Field Theory II: Elimination of Divergence from the Scattering Matrix,” Usp. Fiz. Nauk 57(1), 3–92 (1955) (with D. V. Shirkov).

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  • “Method of Asymptotic Approximation for Systems with a Rotating Phase and Its Application to the Motion of Charged Particles in a Magnetic Field,” Ukr. Mat. Zh. 7(1), 5–17 (1955) (with D. N. Zubarev).

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  • “On Analytic Continuation of Generalized Functions,” Dokl. Akad. Nauk SSSR 109, 717–719 (1956) (with O. S. Parasyuk).

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  • “On the Subtraction Formalism in the Multiplication of Causal Functions,” Izv. Akad. Nauk SSSR Ser. Mat. 20, 585–610 (1956) (with O. S. Parasyuk).

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  • “Multiplicative Renormalization Group in Quantum Field Theory,” Zh. Eksp. Teor. Fiz. 30(1), 77–86 (1956) (with D. V. Shirkov).

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  • Introduction to the Theory of Quantized Fields (Gostekhizdat, Moscow, 1957; Wiley, New York, 1980) (with D. V. Shirkov).

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  • “Approximate Secondary Quantization Methods in the Quantum Theory of Magnetism,” Izv. Akad. Nauk SSSR Ser. Fiz. 21, 849–853 (1957) (with S. V. Tyablikov).

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  • “Dispersion Relations for Compton Scattering by Nucleons,” Dokl. Akad. Nauk SSSR 113, 529–532 (1957) (with D. V. Shirkov).

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  • “Dispersion Relations for Weak Interaction,” Dokl. Akad. Nauk SSSR 115, 891–893 (1957) (with S. M. Belen’kii and A. A. Logunov).

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  • “A Theorem on Analytic Continuation of Generalized Functions,” Nauchn. Dokl. Vyssh. Shkoly Fiz.-Mat. Nauki 3, 26–35 (1958) (with V. S. Vladimirov).

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  • Asymptotic Methods in the Theory of Nonlinear Oscillations (Fizmatgiz, Moscow, 1958; Gordon and Breach, New York, 1962) (with Yu. A. Mitropol’skii).

  • Problems in the Theory of Dispersion Relations (Fizmatgiz, Moscow, 1958) (with B. V. Medvedev and M. K. Polivanov) [in Russian].

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  • A New Method in the Theory of Superconductivity (Akad. Nauk SSSR, Moscow, 1958; Consultants Bureau, New York, 1959) (with V. V. Tolmachev and D. V. Shirkov).

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  • “On Analytic Continuation of Generalized Functions,” Izv. Akad. Nauk SSSR Ser. Mat. 22(1), 15–48 (1958) (with V. S. Vladimirov).

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  • “On the Condition for Superfluidity in the Theory of Nuclear Matter,” Dokl. Akad. Nauk SSSR 119, 52–55(1958).

  • “On a Variational Principle in the Many Body Problem,” Dokl. Akad. Nauk SSSR 119, 244–246 (1958).

  • “A New Method in the Theory of Superconductivity I, III,” Zh. Eksp. Teor. Fiz. 34(1), 58–65, 73–79 (1958).

  • “On Indefinite Metric in Quantum Field Theory,” Nauchn. Dokl. Vyssh. Shkoly Fiz.-Mat. Nauki 2, 137–142 (1958) (with B. V. Medvedev, M. K. Polivanov).

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  • “Some Problems in Quantum Field Theory,” Proceedings of 3rd All-Union Congress of Mathematicians (Akad. Nauk SSSR, Moscow, 1958), Vol. 3, pp. 514–521 (with D. V. Shirkov).

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  • “On a Variant of the Theory with Indefinite Metric,” Proceedings of 8th International Conference on High Energy Physics (Geneva, 1958), pp. 129–130.

  • “Probleme der Theorie der Dispersionsbeziehungen,” Fortschr. Phys. 6, 169–245 (1958) (with B. V. Medvedev and M. K. Polivanov).

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  • “A New Method in the Theory of Superconductivity,” Fortschr. Phys. 6, 605–682 (1958) (with V. V. Tolmachev and D. V. Shirkov).

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  • “The Compensation Principle and the Self-Consistent Field Method,” Usp. Fiz. Nauk 67, 549–580 (1959).

  • “The Method of Dispersion Relations and Perturbation Theory,” Zh. Eksp. Teor. Fiz. 37, 805–815 (1959) (with A.A. Logunov and D. V. Shirkov).

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  • “Methodes analytiques de la theorie des oscillations nonlineaires,” Proceedings of 10th International Congress on Applied Mechanics (Amsterdam, 1960), pp. 9–25 (with Yu. A. Mitropol’skii).

  • “On Some Mathematical Problems of Quantum Field Theory,” Proceedings of International Congress of Mathematicians, Edinburgh, 1958 (Cambridge, 1960), pp. 19–32 (with V. S. Vladimirov).

  • “Application of N.I. Muskhelishvili’s Methods to the Solution of Singular Integral Equations in Quantum Field Theory,” Problems in Continuum Mechanics (Akad. Nauk SSSR, Moscow, 1961), pp. 45–59 (with B. V. Medvedev and A. N. Tavkhelidze).

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  • “Analytical Methods in the Theory of Nonlinear Oscillations,” Proceedings of 1st All-Union Congress on Theoretical and Applied Mechanics (Moscow, 1962), pp. 25–35 (with Yu. A. Mitropol’skii).

  • “Certain Mathematical Problems in Quantum Field Theory,” Proceedings of International Congress of Mathematicians, Edinburgh, 1958 (Moscow, 1957, 1962), pp. 27–47 (with V. S. Vladimirov).

  • Asymptotic Methods in the Theory of Nonlinear Oscillations (Gordon and Breach, New York, 1962; Fizmatgiz, Moscow, 1963) (with Yu. A. Mitropol’skii).

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  • “Method of Integral Manifolds in Nonlinear Mechanics,” Proceedings of International Symposium on Nonlinear Oscillations (Kiev, 1963), pp. 93–154 (with Yu. A. Mitropol’skii).

  • “Fields and Quanta: Quantum Field Theory-Science of Elementary Particles and Their Interactions,” in Through the Eyes of a Scientist (Moscow, Akad. Nauk SSSR, 1963), pp. 159–173 (with M. K. Polivanov) [in Russian].

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  • “Method of Integral Manifolds in the Theory of Differential Equations,” Proceedings of 4th All-Union Congress of Mathematicians, Leningrad, 1961 (Nauka, Leningrad, 1964), Vol. 2, pp. 432–437 (with Yu. A. Mitropol’skii).

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  • “Mathematical Problems in Quantum Field Theory,” Usp. Mat. Nauk 20(3), 31–40 (1964).

  • “Study of Quasi-Periodic Regimes in Nonlinear Oscillating Systems,” in Les vibrations forcees dans les systemes non-lineaires (Paris, 1964), pp. 181–192 (with Yu. A. Mitropol’skii).

  • The Soviet School of Mathematics (Moscow, 1967), pp. 1–63 (with S. N. Mergelyan) [in Russian].

  • “Modern Mathematics,” October Revolution and Scientific Progress (APN, Moscow, 1967), Vol. 1, pp. 21–69 (with S. N. Mergelyan) [in Russian].

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  • “Symmetry Theory of Elementary Particles,” in High Energy Physics and Theory of Elementary Particles (Naukova Dumka, Kiev, 1967), pp. 5–112 [in Russian].

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  1. Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia

    M. K. Kerimov

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Original Russian Text © M.K. Kerimov, 2011, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2011, Vol. 51, No. 6, pp. 963–978.

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Kerimov, M.K. On the 100th anniversary of birthday of academician Nikolai Nikolaevich Bogolyubov (1909–2009). Comput. Math. and Math. Phys. 51, 901–914 (2011). https://doi.org/10.1134/S096554251106011X

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