Open Access
Issue
ITM Web Conf.
Volume 34, 2020
International Conference on Applied Mathematics and Numerical Methods – third edition (ICAMNM 2020)
Article Number 01001
Number of page(s) 13
Section Plenary Lectures
DOI https://doi.org/10.1051/itmconf/20203401001
Published online 03 December 2020
  1. P.L. Antonelli, Equivalence problem for systems of second order ordinary differential equations (In: M. Hazewinkel (Ed.) Encyclopedia of Mathematics, Dordrecht: Kluwer Academic Publishers, 2000) 546 pp. [Google Scholar]
  2. P.L. Antonelli, I. Bucataru, KCC theory of a system of second order differential equations (In: P.L. Antonelli (Ed.) Handbook of Finsler Geometry, Springer, 2003) 1-66. [Google Scholar]
  3. P.L. Antonelli, L. Bevilacqua, S.F. Rutz, Theories and models in symbiogenesis, Nonlinear Analysis, Real World Applications 4, 743-753 (2003). [CrossRef] [Google Scholar]
  4. P.L. Antonelli, I. Bucataru, New results about the geometric invariants in KCC-theory, An.St. Univ. “Al.I.Cuza” Iasi. Mat. N.S. 47, 405–420 (2001). [Google Scholar]
  5. Gh. Atanasiu, V. Balan, N. Brinzei, and M. Rahula, Differential Geometry of The Second Order and Applications: Miron-Atanasiu Theory (in Russian) (Librokom Eds., Moscow, 2010) 256 pp. [Google Scholar]
  6. V. Balan, Jacobi structural stability for a SODE biochemical model, Proc. of The XIth Int.Conf. “Man in The Knowledge Based Organization”, 23-25 Nov. (2006), Sibiu, “Nicolae Balcescu” Land ForcesAcademy Editors, 472-478 (2006). [Google Scholar]
  7. V. Balan, M. Neagu, Jet geometrical extension of the KCC-invariants, Balkan J. Geom. Appl. 15(1), 8-16 (2010); arXiv:0906.2903v1 [math.DG] 16 Jun2009. [Google Scholar]
  8. H.C. Corben and J. Schwinger, The electromagnetic properties of mesotrons, Physical Review 58, 953 (1940). [CrossRef] [Google Scholar]
  9. V.V. Kisel, E.M. Ovsiuyk and V.M. Red’kov, On the wave functions and energy spectrum for a spin 1 particle in external Coulomb field, Nonlinear Phenomena in Complex Systems 13(4), 352-367 (2010). [Google Scholar]
  10. V.V. Kisel, E.M. Ovsiyuk, Ya.A. Voynova and V.M. Red’kov, Quantum mechanics of spin 1 particle with quadrupole moment in external uniform magetic field, Problems of Physics, Mathematics and Thechnics 32(3), 18-27 (2017). [Google Scholar]
  11. V.V. Kisel, V.M. Red’kov, E.M. Ovsiyuk, Wave functions and energy spectrum for spin 1 particle in Coulomb field, Doklady Natsionalnoi Akademii Nauk Belarusi 55(1), 50–55 (2011). [Google Scholar]
  12. V.V. Kisel, Ya.A. Voynova, E.M. Ovsiyuk, V. Balan and V.M. Red’kov, Spin 1 particle with anomalous magnetic moment in the external uniform magnetic field, Nonlinear Phenomena in Complex Systems 20(1), 21-39 (2017). [Google Scholar]
  13. A. Koralkov, Ya. Voynova, N. Krylova, E. Ovsiyuk, V. Balan, Vector particle with electric quadrupole moment inexternal Coulomb field, BSG Proceedings 27, 80-106 (2020). [Google Scholar]
  14. E.M. Ovsiyuk, Quantum Kepler problem for spin 1/2 particle in spaces on constant curvature. I. Pauli Theory, E.M. Ovsiyuk, Nonlinear Phenomena in Complex Systems 14(1), 14–26 (2011). [Google Scholar]
  15. E.M. Ovsiyuk, V.V. Kisel, V.M. Red’kov, Maxwell Electrodynamics and Boson Fields in Spaces of Constant Curvature (Nova Sci. Publishers, New York, 2014) 498 pp. [Google Scholar]
  16. E.M. Ovsiyuk, V.V. Kisel, O.V. Veko, Ya.A. Voynova, V. Balan and V.M. Red’kov, Elementary particles with internal structure in external field. II. Physical Problems (Nova Sci. Publishers, USA, 2018) 402 pp. [Google Scholar]
  17. E.M. Ovsiyuk, V.V. Kisel, O.V. Veko, Ya.A. Voynova, V. Balan and V.M. Red’kov, Elementary particles with internal structure in external field. I. General Theory (Nova Sci. Publishers, USA, 2018) 404 pp. [Google Scholar]
  18. E.M. Ovsiyuk, O.V. Veko, Ya.A. Voynova, A.D. Koral’kov, V.V. Kisel, V.M. Red’kov, On describing bound states for a spin 1 particle in the external Coulomb field, Balkan Society of Geometers Proceedings 25, 59-78 (2018). [Google Scholar]
  19. E.M. Ovsiyuk, Ya.A. Voynova, V.V. Kisel, V. Balan, V.M. Red’kov, Spin 1 particle with anomalous magnetic moment in the external uniform electric field (In S. Griffin (Eds.) Quaternions: Theory and Applications, Nova Science Publishers, USA, 2017) 47-84. [Google Scholar]
  20. E.M. Ovsiyuk, Ya.A. Voynova, V.V. Kisel, V. Balan, V.M. Red’kov, Spin 1 particle with anomalous magnetic moment in the external uniform electric field, Nonlinear Phenomena in Complex Systems 21(1), 1-20 (2018). [CrossRef] [Google Scholar]
  21. E.M. Ovsiyuk, Ya.A. Voynova, V.V. Kisel, V. Balan, V.M. Red’kov, Techniques of projective operators used to construct solutions for a spin 1 particle with anomalous magnetic moment in the external magnetic field (In S. Griffin (Eds.), Quaternions: Theory and Applications, Nova Sci. Publishers, USA, 2017) 11-46. [Google Scholar]
  22. V.A. Pletjukhov, V.M. Red’kov, V.I. Strazhev, Relativistic wave equations and intrinsic degrees of freedom (Belarusian Science, Minsk) 328 pp. [Google Scholar]
  23. V.M. Red’kov, Fields in Riemannian Space and the Lorentz Group (Belarusian Science, Minsk, 2009) 486 pp. [Google Scholar]
  24. V.M. Red’kov, Tetrad Formalism, Spherical Symmetry and Schrödinger basis (Belarusian Science, Minsk, 2011) 339 pp. [Google Scholar]
  25. A. Ronveaux, Heun’s differential equation (Oxford University Press, 1995) 380 pp. [Google Scholar]
  26. V.S. Saba˘u, Systems biology and deviation curvature tensor (Lecture notes, University of Alberta, Canada, 2001). [Google Scholar]
  27. S.Yu. Slavyanov, W. Lay, Special functions. A unified theory based on singularities (Oxford University Press, 2000) 312 pp. [Google Scholar]
  28. A. Shamaly, A.Z. Capri, Unified theories for massive spin 1 fields, Canadian Journal of Physics 51(14), 1467-1470 (1973). [CrossRef] [Google Scholar]
  29. I.E. Tamm, Motion of mesons in electromagnetic fields, Dokl. Akad. Nauk SSSR 29, 551 (1940). [Google Scholar]
  30. Constantin Udris¸te, Massimiliano Ferrara, Dumitru Opris¸, Economic Geometric Dynamics (Geometry Balkan Press, Bucharest, 2004) 270 pp. [Google Scholar]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.