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Publishing activity / Publications / 2011

2011

Books and Monographs

  1. Tretyak V.I. Forms of relativistic Lagrangian dynamics. – Kyiv, Naukova dumka, 2011. – 280 p.
  2. Korynevskyj M.A., Zachek I.R., Lopatynskyj I.J. Physics. Lections for students of the Institute of computer sciences and informational technologies. – Lviv: TzOV ZUKC, 2011. – 178 p.
  3. Durnyak B.V., Batyuk A.J., Nazarkevych M.A., Mryglod O.I. The development and design of advertisement – Lviv, Publ.house of Ukr.Acad.of Printing, 2011. – 197 p.

Chapters

  1. Andrusyk A. "Piezoelectric Effect in Rochelle salt" in Ferroelectrics – Physical Effects / Ed. by M. Lallart. Book 2, Ch. 9. – In Tech, 2011. - P. 195-220.
  2. Fedotova M.V., Holovko M.F. Integral equation method in Equilibrium Statistical Theory of liquids. - In: Theoretical and Experimental Methods of Solution Chemistry. - Moskow, Prospect, 2011. - P. 70-152 (in Russian).

Papers

  1. Baumketner A., Nesmelov Y. Early stages of the recovery stroke in Dictyostelium discoideum myosin II by molecular dynamics simulations // Protein Science, 2011, vol. 20, p.2013-2022.
  2. Blavatska V., Holovatch Yu. Star copolymers in porous environments: scaling and its manifestations - In: Scientific Council on the Soft Matter Physics: A brief summary of activity in 2006-2010. - Lviv-Kyiv: ICMP of Nat. Ac. Sci. Ukraine, 2011, p.86-90 (in Ukrainian).
  3. Blavatska V., Janke W. Theta-polymers in crowded media under the stretching force. // Comp. Phys. Communications, 2011, vol. 182, p.1966.
  4. Blavatska V., Ferber C. von, Holovatch Yu. Star copolymers in porous environments: scaling and its manifestations // Phys. Rev. E., 2011, vol. 83, 011803: 1-9.
  5. Blavatska V., Ferber C. von, Holovatch Yu. Shapes of macromolecules in good solvents: field theoretical renormalization group approach // Condens. Matter Phys., 2011, vol. 14, 33701: 1-20.
  6. Borówko M., Patrykiejew A., Rzysko W., Sokolowski S., Ilnytskyi J. Complex phase behavior of a fluid in slits with semipermeable walls modified with tethered chains // J. Chem. Phys., 2011, vol. 134(4), p.4705.
  7. Bryk T., Wax J.-F. Origin of large Landau-Placzek ratio in a liquid metallic alloy // J. Chem. Phys., 2011, vol. 135(15), p.4510.
  8. Bryk T. Non-hydrodynamic collective modes in liquid metals and alloys // Eur. Phys. J. Spec. Top., 2011, vol. 196(1), p.65-84.
  9. Bryk T., Ruocco G. Generalized collective excitations in supercritical argon // Mol. Phys., 2011, vol. 109(23-24), р.2929-2934.
  10. Bryk T., Mryglod I. Peculiarities of collective dynamics in glassy systems. - In: Scientific Council on the Soft Matter Physics: A brief summary of activity in 2006-2010. - Lviv-Kyiv: ICMP of Nat. Ac. Sci. Ukraine, 2011, p.27-32 (in Ukrainian).
  11. Caprio D.di, Stafiej J., Holovko M., Kravtsiv I. Yukawa fluid at a hard wall: Field theory description // Mol. Phys., 2011, vol. 109, № 5, p.695-708.
  12. Darewych J.W., Duviryak A. Interparticle Forces in QFTs with Nonlinear Mediating Fields // Few Body Systems, 2011, vol. 50, № 1-4, p.299-301.
  13. Derzhko V., Derzhko O., Richter J. Exact solution of a spin-1/2 XX chain with three-site interactions in a random transverse field: Influence of randomness on the quantum phase transition // Phys. Rev. B, 2011, vol. 83, № 17, 174428: 1-10.
  14. Derzhko O.V., Krokhmalskii T.E., Richter J. Quantum Heisenberg antiferromagnet on low-dimensional frustrated lattices – Theoretical and Mathematical Physics, 2011, vol. 168, № 3, p.1236–1245 (in Russian).
  15. Druchok M., Holovko M. Molecular dynamics study of ion hydration under pressure // J. Mol. Liq., 2011, vol. 159(1), p.24-30.
  16. Dublenych Yu.I. Structures on lattices: Some useful relations //Phys. Rev. E, 2011, vol. 83, 022101: 1-2.
  17. Dublenych Yu.I. Ground states of the lattice-gas model on the triangular lattice with nearest- and next-nearest-neighbor pairwise interactions and with three-particle interaction: Full-dimensional ground states // Phys. Rev. E, 2011, vol. 84, 011106: 1-11.
  18. Dublenych Yu.I. Ground states of the lattice-gas model on the triangular lattice with nearest- and next-nearest-neighbor pairwise interactions and with three-particle interaction: Ground states at boundaries of full-dimensional regions // Phys. Rev. E, 2011, vol. 84, 061102: 1-17.
  19. Dublenych Yu.I. // Phase transitions in the Mitsui model // Condens. Matter Phys., 2011, vol. 14, 23603: 1-20.
  20. Duriagina Z.A., Pavlenko N., Shcherbovskikh N. Interstitial Cr impurities in iron: effect of structural relaxation // Nanosystems, Nanomaterials, Nanotechnologies, 2011, vol. 9, p.441-455 (in Ukrainian).
  21. Duviryak A., Darewych J.W. On confinement interactions in scalar generalizations of the dipole model // J. Phys. Stud., 2011, vol. 15, № 1, 1101, 9 p.
  22. Ferber C. von, Folk R., Holovatch Yu., Kenna R., Palchykov V. Entropic equation of state and scaling functions near the critical point in uncorrelated scale-free networks // Phys. Rev. E, 2011, vol. 83, p.061114.
  23. Hlushak. S.P., Trokhymchuk A.D., Sokolowski S. Direct correlation function for complex square barrier-square well potentials in the first-order mean spherical approximation // J. Chem. Phys., 2011, vol. 134, iss. 11, p.114101.
  24. Hlushak S., Trokhymchuk A., Nezbeda I. Improved first order mean-spherical approximation for simple fluids // Condens. Matter Phys., 2011, vol. 14, iss. 3,  p.33004.
  25. Hlushak S.P., Simonin J.P., Caniffi B., Moisy P., Sorel C., Bernard O. Description of partition equilibria for uranyl nitrate, nitric acid and water extracted by tributyl phosphate in dodecane // Hydrometallurgy, 2011, vol. 109, p.97 .
  26. Holovach Yu. From the Ising model to statistical physics of complex systems // Proceeding of Shevchenko Scientific Society, vol. XXIX, Collected Physical Papers, 2011, vol. 8, p.429-449 (in Ukrainian).
  27. Holovko M., Caprio D. di, Kravtsiv I. Maier-Saupe nematogenic fluid: field theoretical approach // Condens. Matter Phys., 2011, vol. 14, № 3, 33605: 1-12.
  28. Holovko M. Development and formation of the modern theory of electrolyte solutions // Proceeding of Shevchenko Scientific Society, vol. XXIX, Collected Physical Papers, 2011, vol. 8, p.452-467 (in Ukrainian).
  29. Humenyuk Y.A., Tokarchuk M.V. Extension of Hydrodynamic Balance Equations for Simple Fluids // J. Stat. Phys., 2011, vol. 142, p.1052-1084.
  30. Ignatyuk V.V. Coherence, decoherence, and memory effects in the problems of quantum surface diffusion // Phys. Rev. E., 2011, vol. 84, p.021111.
  31. Ilnytskyi J.M., Neher D., Saphiannikova M. Opposite photo-induced deformations in azobenzene-containing polymers with different molecular architecture: Molecular dynamics study // J. Chem. Phys., 2011, vol. 135(4), p.044901.
  32. Ilnytskyi J.M., Patsahan T., Sokolowski S. Nanostructures in a binary mixture confined in slit-like pores with walls decorated with tethered polymer brushes in the form of stripes: Dissipative particle dynamics study // J. Chem. Phys., 2011, vol. 134, 204903: 1-11.
  33. Gálisová L., Strecka J., Tanaka A., Verkholyak T. Effect of the on-site interaction on the magnetic properties of an exactly solvable spin-electron system // J. Phys.: Condens. Matter, 2011, vol. 23, p.175602.
  34. Kalyuzhnyi Y.V., Iacovella C.R., Docherty H., Holovko M., Cummings P.T. Network forming fluids: Yukawa square-well m-point model // J. Stat. Phys., 2011, vol. 145, p.481-506.
  35. Kalyuzhnyi Y.V., Docherty H., Cummings P.T. Resummed thermodynamic perturbation theory for central force associating potential. Multi-patch models // J. Chem. Phys., 2011, vol. 135, p.014501.
  36. Korotkov L.N., Korotkova T.N., Levitskii R.R., Sorokov S.I., Vdovych A.S. Retardation of Polarization in Mixed K0.88(NH4)0.12H2PO4 Crystal // Izvestiya RAN. Seriya Fizicheskaya, 2011, vol. 75, № 10, p.1414–1417 (in Russian).
  37. Kostrobij P.P., Markiv B., Tokarchuk R., Tokarchuk M. Nonequlibrium statistical Zubarev operator in Reni statistics. Reaction-diffusion processes// Physical and mathematical modeling and informational technologies. – Lviv, MMC IAPMM NAS of Ukraine, 2011, issue 13, p.81-93 (in Ukrainian).
  38. Kostrobij P. P., Markovych B. M., Vasylenko A. I., Tokarchuk R.M. Statistical description of electrodiffusion processes in the electron subsystem of a semibounded metal within the generalized "jellium" model // Ukr. J. Phys., 2011, vol. 56, № 2, p.179-191.
  39. Kostrobij P.P., Markovych B.M., Vasylenko A.I., Tokarchuk M.V. Viscoelastic description of electron subsystem of a semi-bounded metal within generalized "jellium" model // Condens. Matter Phys., 2011, vol. 14, № 4, 43001:1–16.
  40. Kozlovskii M. Method for theoretical description of the critical behaviour of 3D model in an external field // Proceeding of Shevchenko Scientific Society, vol. XXIX, Collected Physical Papers, 2011, vol. 8, p.466-413 (in Ukrainian).
  41. Kozlovskii M.P., Romanik R.V. Gibbs free energy and Helmholtz free energy from a three-dimensional Ising-like model // Condens. Matter Phys., 2011, vol. 14, p.43002.
  42. Kozlovskii M.P., Romanik R.V. Influence of an external field on the critical behavior of the 3D Ising-like model // J. Mol. Liq., 2011, doi: 10.1016/j.molliq.2011.12.003
  43. Kozlovskii M.P., Pylyuk I.V. Free energy of three-dimensional uniaxial magnet in the higher non-Gaussian approximation and in the presence of an external field // ISRN Condens. Matter Phys., doi: 10.5402/2011/260750.
  44. Krejci J., Nezbeda I., Melnyk R., Trokhymchuk A. Mean-spherical approximation for the Lennard-Jones-like two Yukawa model: Comparison against Monte Carlo data // Condens. Matter Phys., 2011, vol. 14, iss. 3, p.33005.
  45. Krejci J., Nezbeda I., Melnyk R., Trokhymchuk A. Virial coefficients and vapor-liquid equilibria of the EXP6 and 2-Yukawa fluids // Condens. Matter Phys., 2011,  vol. 14, iss. 2, p.23004.
  46. Kryk M.R., Shovgenyuk M.V. Analytical method for calculating the balance of printing inks // Scientific notations, Lviv: UAP, 2011, v.4 (37) , p.284–294.) (in Ukrainian).
  47. Kulchytska C.B., Shovgenyuk M.V. Characteristics of color spaces and SIELAB and SIELUV on CaS-diagram// Computer technologies of printing, Lviv: UAP, 2011, № 25, p.198–208 (in Ukrainian).
  48. Levitskii R.R., Zachek I.R., Korotkov L.N., Vdovych A.S., Sorokov S.I. Features of the Behavior of Longitudinal Static and Dynamic Dielectric, Piezoelectric, and Elastic Characteristics of KH2PO4 and NH4H2PO4 Crystals // Izvestiya RAN. Seriya Fizicheskaya, 2011, vol. 75, № 10, p.1473–1478 (in Russian).
  49. Levitskii R.R., Zachek I.R., Vdovych A.S. Static dielectric, piezoelectric and elastic properties of ferroelectrics KH2PO4 and K(H0.12D0.88)2PO4 // Physics and chemistry of solid state, 2011, vol. 12, № 1, р.61-68 (in Ukrainian).
  50. Levitskii R.R., Vdovych A.S., Zachek I.R. Transverse static dielectric, piezoelectric and elastic properties of KH2PO4 type ferroelectrics // Journal Of NULP, Phys. Math. Sciences, 2011, vol. 696, № 696, р.116-126 (in Ukrainian).
  51. Levitskii R.R., Vdovych A.S., Zachek I.R. About role of piezoelectric coupling in behaviour of longitudinal physical characteristics of KH2PO4 type compounds // Journal Of NULP, Phys. Math. Sciences, 2011, vol. 696, № 696, р.127-135 (in Ukrainian).
  52. Lin Y., Baumketner A., Song W., Deng S., Jacobs D., Cai D. Ionic solvation studied by image-charge reaction field method // Chem. Phys., 2011, p.044105.
  53. Lipinski I.E., Korynevskii N.A., Sobon M. Pressure Effect on the Anomal Behaviour of Physical Properties of NaNH4SO4·2H2O Type Crystals // Ferroelectrics, 2011, vol. 418, p.171-176.
  54. Lisnii B.M. Distorted diamond Ising–Hubbard chain // Low Temp. Phys., 2011, vol. 37, p.296-304.
  55. Lisnii B.M. Spin-1/2 asymmetric Ising-Heisenberg chain // Ukr. J. Phys., 2011, vol. 56, p.1237-1245.
  56. Maksymenko M., Derzhko O., and Richter J. Localized states on triangular traps and low-temperature properties of the antiferromagnetic Heisenberg and repulsive Hubbard models // Eur. Phys. Journ. B, 2011, vol. 84, p.397-408.
  57. Maksymenko M., Derzhko O., and Richter J. Low-temperature properties of the quantum Heisenberg antiferromagnet on some one-dimensional lattices containing equilateral triangles // Acta Phys. Pol. A, 2011, vol. 119, p.860-862.
  58. Markiv B., Tokarchuk R., Kostrobij P., Tokarchuk M. Nonequilibrium statistical operator method in the Renyi statistics // Physica A, 2011, vol. 390, p.785-791.
  59. Melnyk Roman, Nezbeda Ivo, Trokhymchuk Andrij. Vapour/liquid coexistence in long-range Yukawa fluids determined by means of an augmented van der Waals approach // Mol. Phys., 2011, vol. 109, iss. 1, special iss. SI, p.113-121.
  60. Moina A.P., Levitskii R.R., Zachek I.R. Mitsui model with diagonal strains: A unified description of external pressure influence and thermal expansion of Rochelle salt NaKC4H4O6·4H2O // Condens. Matter Phys., 2011, vol. 14, № 4, p.43602.
  61. Mryglod І. Development of the methods of statistical physics in the works of Academician Yukhnovskii. // Proceeding of Shevchenko Scientific Society, vol. XXIX, Collected Physical Papers, 2011, vol. 8, p.416-428 (in Ukrainian).
  62. Mryglod І.M., Mryglod O.I. The sixth Parkinson’s law and Ukrainian scientific periodicals // Science of Ukraine in a global information space, 2011, iss. 5, p.102-116 (in Ukrainian).
  63. Mryglod O., Holovatch Yu., Mryglod I. Editorial process in scientific journals: analysis and modeling // Scientometrics, 2011, doi: 10.1007/s11192-011-0536-1.
  64. Mysakovych T.S. Bose-Fermi-Hubbard model on a lattice with two nonequivalent sublattices // Condens. Matter Phys., 2011, vol. 14, 43301:1-8.
  65. Mysakovych T.S. Bose-Fermi-Hubbard model: Pseudospin operator approach // Physica B, 2011, vol. 406, p.1858-1861.
  66. Mysakovych T.S. Investigation of Cu adsorption on SI(001) surface using cluster models // J. Phys. Stud., 2011, vol. 15, № 4, p.4601.
  67. Nezbeda Ivo; Melnyk Roman; Trokhymchuk Andrij. Augmented van der Waals equations of state: SAFT-VR versus Yukawa based van der Waals equation // Fluid Phase Equilibria, 2011, vol. 309, iss. 2,  p.174-178.
  68. Ni B., Baumketner A. Effect of group- and atom-based truncation in reaction-field simulations of biomolecules // J. of Mol. Model., 2011, vol. 17(11), p.2883-2893.
  69. Omelyan I.P., Kovalenko A. Multiple time scale molecular dynamics for fluids with orientational degrees of freedom. I. Microcanonical ensemble // J. Chem. Phys., 2011, vol. 135, № 11, p.114110.
  70. Oshanin G., Holovatch Yu., Schehr G. Proportionate vs disproportionate distribution of wealth of two individuals in a tempered Paretian ensemble // Physica A, 2011, vol. 390, p.4340–4346.
  71. Patsahan O. Statistical theory of phase transitions in two-component fluids: method of collective variables // Proceeding of Shevchenko Scientific Society, vol. XXIX, Collected Physical Papers, 2011, vol. 8, p.514-532 (in Ukrainian).
  72. Patsahan O.V., Patsahan T.M. Gas–liquid coexistence in asymmetric primitive models of ionic fluids // J. Mol. Liq., 2011, vol. 164, p.44-48.
  73. Patsahan T., Holovko M., Dong W. Fluids in porous media III Scaled particle theory // J. Chem. Phys., 2011, vol. 134, 074503: 1-11.
  74. Pavlenko N., Kopp T. Structural relaxation and metal-insulator transition at the inter­­face between SrTiO3 and LaAlO3 // Surface Science, 2011, vol. 605, p.1114-1121.
  75. Pavlenko N., Pietrashko A., Pawlowski A., Polomska M., Stasyuk I.V. and Hilczer B. Hydrogen transport in puperionic system Rb3H(SeO4): A revised cooperative migration mechanism // Phys. Rev. B, 2011, vol. 84, 064303: 1-10.
  76. Portnyagin D.V. Classical solvability of the system of two parabolic equations // Differential equations, 2011, v. 47, № 4, p.595-599 (in Russian).
  77. Protsykevytch I.A., Kalyuzhnyi Y.V., Cummings P.T. Phase behavior of a simple model of ferrocolloidal fluid // Chem. Phys. Lett., 2011, vol. 503, p.226.
  78. Rutkevich S., Diehl H.W., Shpot M.A. On conjectured local generalizations of anisotropic scale invariance and their implications // Nucl. Phys. B, 2011, vol. 843, p.255-301.
  79. Rutkevich S., Diehl H.W., Shpot M.A. Erratum to "On conjectured local generalizations of anisotropic scale invariance and their implications" // Nucl. Phys. B, 2011, vol. 853, p.210-211.
  80. Saphiannikova M., Toshchevikov V., Ilnytskyi J., Heinrich G. Photo-induced deformation of azobenzene polymers: theory and simulations // Proceedings of SPIE, 2011, 8189 818910-1.
  81. Shchur Ya. Phonon dynamics simulation of TlH2PO4 crystal // Phys. stat. sol. (b), 2011, vol. 248, p.659-666.
  82. Stasyuk I.V., Velychko O.V. Two-state Bose-Hubbard model in the hard-core boson limit // Condens. Matter Phys. , 2011, vol. 14, № 1, 13004: 1–14.
  83. Stasyuk I.V., Velychko O.V. Bose-Einstein condensation in the excited band and the energy spectrum of the Bose-Hubbard model // Theoretical and Mathematical Physics, 2011, vol. 168, № 3, p.1347–1357 (in Russian).
  84. Stasyuk I.V., Vorobyov O.A., Stetsiv R.Ya. Spectral densities and diagrams of states of one-dimensional ionic Pauli conductor // Condens. Matter Phys., 2011, vol. 14, 23702: 1-7.
  85. Stasyuk I., Levitskii R., Zachek I., Vdovych A. Microscopic theory of thermodynamic and dynamic properties of KH2PO4 family ferroelectrics taking into account piezoelectric coupling // Proceeding of Shevchenko Scientific Society, vol. XXIX, Collected Physical Papers, 2011, vol. 8, p.533-586 (in Ukrainian).
  86. Topilko M., Derzhko O., Krokhmalskii T. Dynamic properties of spin-1/2 XX chain with three-site interactions of (XZY-YZX)-type // Acta Phys. Pol. A, 2011, vol. 119, № 6, p.868-870.
  87. Trokhymchuk A.D. Structural interactions in colloidal dispersions: Applications to thin colloidal films. – In book "Scientific council from the problema “Soft matter physics”, Short report of the activity in 2006-2010". - Lviv-Kyiv, 2011, p.56-60 (in Ukrainian).
  88. Urbic T., Holovko M.F. Mercedеs-Benz water molecules near hydrophobic wall: Integral equation theories vs Monte Carlo simulations // J. Chem. Phys., 2011, vol. 135, 134706, p.1-9.
  89. Usatenko Z. J. Chem. Phys., 2011, vol. 134, 024119.
  90. Usatenko Z. J. Mol. Liq., 2011, vol. 164, p.59; doi:10.1016/j.molliq.2011.06.010.
  91. Verkholyak T., Strecka J., Jašcur M., Richter J. Magnetic properties of the quantum spin-1/2 XX diamond chain: the Jordan-Wigner approach // Eur. Phys. J. B, 2011, vol. 80, p.433-444.
  92. Yaremko Yu. Self-force via energy-momentum and angular momentum balance equations // J. Math. Phys., 2011, vol. 52, № 1, p.012906.
  93. Yaremko Yu. Renormalization and radiation reaction in 2+1 electrodynamics // J. Phys. Stud., 2011, vol. 15, № 1, p.1003.
  94. Yaremko Yu. Interference part of synhrotron radiation // Proceeding of Shevchenko Scientific Society, vol. XXIX, Collected Physical Papers, 2011, vol. 8, p.210-226 (in Ukrainian).
  95. Shovgenyuk M.V., Zanko N.V., Pysanchyn N.S. A new computer program preparing color-separated images. // Computer technologies of printing, Lviv: UAP, 2011, № 25, p.186–197. (in Ukrainian).

Personals, editorials

  1. Holovko M., Gadomski W. Complex Liquids: Modern trends in exploration, understanding and application. Selected papers on molecular liquids presented at the EMLG/JMLG 2010 annual meeting 5-9 September 2010, Editorial // J. Mol. Liq., 2011, vol, 164, iss. 1-2, p.1-2.
  2. Holovko M. Modern trends in liquid state theory: A Festschrift for Yurij Kalyuzhyi // Condens. Matter Phys., 2011, vol. 14, № 3, 30101, p.1-2.
  3. Kozlovskii M., Mryglod I., Stasyuk I. On 85th birthday of full NTSh, Member of the Ukrainian National Academy of Sciences, Professor Ihor Yukhnovskii// - Proceeding of Shevchenko Scientific Society, vol. XXIX, Collected Physical Papers, 2011, vol. 8, 2011, p.686-693 (in Ukrainian).
  4. Musso M., Holovko M. Intermolecular interactions and liquid structure. Selected papers on molecular liquids presented at the EMLG/JMLG 2009 Annual Meeating 6-10 September 2009, Editorial // J. Mol. Liq., 2011, vol. 159, iss. 1, p.1.
  5. Yukhnovsky I.R., Holovko M. Editorial to the book "Scientific council from the problema “Soft matter physics”, Short report of the activity in 2006-2010". - Lviv-Kyiv, 2011, p.7-9 (in Ukrainian).

Popular scientific papers, papers from history of science

  1. Holovko M.F., Mudryj S.I. Soft matter and disordered systems physics. – In book "Science of the Western region of Ukraine" (1990-2010). - Lviv: PAIS, 2011. - p.75-82 (in Ukrainian).
  2. Hryvnak N.Ya. Yulian Hirnyak – scientist, teacher, columnist (On occasion of 130 birthday anniversary). - Proceeding of Shevchenko Scientific Society, vol. XXIX, Collected Physical Papers, 2011, vol. 8, p.678-685 (in Ukrainian).
  3. Lisetskii L., Trokhymchuk A. Towards a ukrainian trace in the history of discovery, studies and modern applications of liquid cristals // Proceeding of Shevchenko Scientific Society, vol. XXIX, Collected Physical Papers, 2011, vol. 8, p.632-643 (in Ukrainian).
  4. Lisetskii L., Trokhymchuk A.., Shenderovskyj V.. Cristals that have great future.// Svitohlyad, 2011, № 6, p.4-19 (in Ukrainian).
  5. Tretyak V.I. Theoretical physics. – In book "Science of the Western region of Ukraine" (1990-2010). - Lviv: PAIS, 2011. - p.83-88 (in Ukrainian).