The Department of Mathematical Physics

D.Sc. Theses

• Maryna Nesterenko, Realizations and contractions of Lie algebras, orbit-functions and quasicrystals
  (Consultant: Dr. V. Boyko)

• Olena Vaneeva, Equivalence groupoids in group classification problems
  (Consultant: Prof. R. Popovych)

• Vyacheslav Boyko, Generalized Casimir operators, singular reduction modules and symmetries of differential equations
  (Consultant: Prof. R. Popovych)

• Mykola Dudkin, Singularly perturbed normal operators and the complex moment problem
  (Consultant: Prof. V. Koshmanenko)


• Roman Popovych, Classification problems of group analysis of differential equations
  (Consultant: Prof. A. Samoilenko)

• Victor Lahno, Realizations of Lie algebras of local transformation groups and group analysis of nonlinear differential equations
  (Consultants: Prof. W. Fushchych, Prof. A. Samoilenko)


• Roman Cherniha, Nonlinear evolution equations: Galilean invariance, exact solutions and their applications
  (Consultant: Prof. W. Fushchych)

• Ivan Tsyfra, Conditional invariance and reduction of nonlinear differential equations
  (Consultant: Prof. W. Fushchych)

• Vasyl Fedorchuk, Invariants of subgroups of the Poincare group and symmetric reduction of nonlinear five-dimensional equations of mathematical physics
  (Consultant: Prof. W. Fushchych)

• Valentyn Tychynin, Nonlocal symmetries and solutions of some classes of nonlinear equations of mathematical physics
  (Consultant: Prof. W. Fushchych)

• Anatolii Galitsyn, Investigation of mathematical models of some special modes nonstationary heat and mass transfer
  
• Mykola Serov, Conditional symmetry of nonlinear wave equations
  (Consultant: Prof. W. Fushchych)

• Renat Zhdanov, Symmetry, reductions and exact solutions of nonlinear spinor equations
  (Consultant: Prof. W. Fushchych)


• Natalia Zorii, Space condensers, noncompactness, potentials
  (Consultant: Prof. P. Tamrazov)

• Valerii Samoilenko, Analysis of nonlinear dynamic systems and their small deformations on functional manifolds
  

• Volodymyr Koshmanenko, Scattering problem in terms of bilinear functionals
  (Consultant: Prof. Yu. Berezansky)


• Oleksii Rebenko, Investigation of quantum field and classical statistical systems by methods of Euclidean field theory
  (Consultant: Prof. D. Petryna)

Ph.D. Theses

• Oleksandra Vinnichenko, Geometric and algebraic properties of dispersionless Nizhnik equation
  (Supervisors: Prof. R. Popovych, Dr. V. Boyko)

• Oleksandra Lokaziuk, Realizations of Lie algebras on line and group classification of differential equations
  (Supervisors: Dr. V. Boyko, Prof. R. Popovych)


• Yevhenii Chapovskyi, Nilpotent and solvable Lie algebras of derivations of polynomial rings
  (Supervisor: Prof. A. Petravchuk)

• Dmytro Popovych, Generalizations of Inönü–Wigner contractions and Lie-orthogonal operators
  (Supervisor: Prof. A. Petravchuk)


• Oksana Satur, Generalizations of Inönü–Analysis of trajectories behavior in models of complex dynamical systems with attractive interaction
  (Supervisor: Prof. V. Koshmanenko)

• Stanislav Opanasenko, Generalized equivalence groups and extended symmetry analysis of differential equations
  (Supervisor: Prof. R. Popovych)

• Celestin Kurujyibwami, Admissible transformations and the group classification of Schrödinger equations
  (Supervisors: Prof. P. Basarab-Horwath, Prof. R. Popovych)

• Oleksandr Pocheketa, Extended group analysis of generalized Burgers equations
  (Supervisor: Prof. R. Popovych)


• Vira Boluh, Behavior of correlational and thermodynamic functions of continuous statistical systems
  (Supervisor: Prof. O. Rebenko)

• Elsa Maria Dos Santos Cardoso-Bihlo, Group analysis and invariant parameterization in dynamic meteorology
  (Supervisor: Prof. R. Popovych)


• Yuri Karadzhov, Classification of form-invariant systems of Schrödinger equations
  (Supervisor: Prof. A. Nikitin)

• Oksana Kuriksha, Group analysis and exact solutions of systems of equations of mathematical physics, invariant with respect to low-dimensional Lie algebras
  (Supervisor: Prof. A. Nikitin)


• Vasyl’ Davydovych, Systems of reaction-diffusion equations: conditional symmetries, exact solutions and their properties
  (Supervisor: Prof. R. Cherniha)

• Alexander Bihlo, Symmetry methods in the atmospheric sciences
  (Supervisors: Prof. M. Hantel, Prof. R. Popovych)

• Olena Vaneeva, Group classification and nonclassical symmetries of reaction–diffusion equations
  (Supervisor: Prof. R. Popovych)

• Maryna Nesterenko, Contractions and realizations of Lie algebras
  (Supervisors: Prof. A. Nikitin, Prof. R. Popovych)

• Tetyana Barannyk, Symmetry and exact solutions of nonlinear diffusion equations
  (Supervisor: Prof. A. Nikitin)

• Maxim Lutfullin, Realizations of low-dimensional Lie algebras and invariant systems of nonlinear differential equations
  (Supervisors: Prof. A. Nikitin, Prof. R. Popovych)

• Natalia Ivanova, Classification problems for diffusion–convection and Schrödinger equations
  (Supervisors: Prof. A. Nikitin, Prof. R. Popovych)

• Alexander Zhalij, Symmetry and separation of variables in multi-dimensional parabolic type equations of mathematical physics
  (Supervisor: Prof. R. Zhdanov)


• Arthur Sergyeyev, Higher symmetries and parasupersymmetries of evolution equations
  (Supervisor: Prof. A. Nikitin)

• Olena Panchak, Reduction and exact solutions of the nonlinear complex wave equations
  (Supervisor: Prof. R. Zhdanov)

• Lyudmyla Barannyk, Symmetry reduction of systems of nonlinear equations of Schrödinger and hydrodynamic types
  (Supervisor: Prof. A. Nikitin)


• Zoya Symenoh, Symmetry analysis of Galilei-invariant differential equations of Schrödinger type
  (Supervisors: Prof. W. Fushchych, Prof. A. Nikitin)

• Violeta Tretynyk, Hidden symmetries of two-particle equations
  (Supervisor: Prof. A. Nikitin)


• Olena Roman, Symmetry and reduction of nonlinear wave equations
  (Supervisor: Prof. W. Fushchych)

• Vyacheslav Boyko, Symmetries of nonlinear hydrodynamic-type equations
  (Supervisor: Prof. W. Fushchych)

• Roman Popovych, Symmetry reduction and exact solutions of the Navier-Stokes equations
  (Supervisor: Prof. W. Fushchych)

• Stanislav Spichak, Symmetry analysis of some systems of nonlinear spinor equations
  (Supervisor: Prof. W. Fushchych)


• Viktor Repeta, Conditional symmetry and reduction of some nonlinear wave equations
  (Supervisor: Prof. W. Fushchych)

• Volodymyr Smaliy, Symmetric analysis and exact solutions of nonlinear equations for vector field
  (Supervisor: Prof. W. Fushchych)

• Valeriy Stognii, Theoretic-algebraic analysis of some differential and integro-differential equations
  (Supervisor: Prof. W. Fushchych)


• Valentin Marchenko, Subgroup structure of generalized Galilean groups and reduction of some wave equations
  (Supervisor: Prof. W. Fushchych)

• Victor Lahno, Subgroup structure of Poincaré group P(2,3) and symmetry reduction of wave equations
  (Supervisor: Prof. W. Fushchych)


• Irina Yehorchenko, Symmetry analysis of nonlinear equations for complex scalar and vector fields
  (Supervisor: Prof. W. Fushchych)

• Volodymyr Kornyak, Application of computer for investigation of symmetry properties of some equations of theoretical physics
  (Supervisor: Prof. W. Fushchych)

• Nikolai Selekhman, Group-theoretic properties of some integro-differential equations
  (Supervisor: Prof. W. Fushchych)

• Sadulla Batyrov, Group-theoretic analysis of some parabolic partial differential equations
  (Supervisor: Prof. W. Fushchych)


• Vasyl Fedorchuk, Subgroup structure of the generalized Poincare group P(1,4) and exact solutions of some wave equations
  (Supervisor: Prof. W. Fushchych)


• Mykola Serov, Group properties and exact solutions of nonlinear hyperbolic equations
  (Supervisor: Prof. W. Fushchych)


• Volodymyr Shtelen, Symmetry and exact solutions of some systems of nonlinear differential equations of parabolic and hyperbolic type
  (Supervisor: Prof. W. Fushchych)

• Valerii Samoilenko, Study of the inverse periodic problem for nonlinear differential and differential-difference equations and the averaging method
  (Supervisor: Prof. Yu. Mitropolskiy)

• Yurii Seheda, Group-theoretic properties of some equations relativistic quantum mechanics
  (Supervisor: Prof. W. Fushchych)


• Viktor Salogub, Equations invariant under the Galilean group
  (Supervisor: Prof. W. Fushchych)

• Ivan Yuryk, Reduction of representations of generalized Poincaré groups
  (Supervisor: Prof. W. Fushchych)

• Anatoly Nikitin, Non-Lagrangian equations for particles with arbitrary spin
  (Supervisor: Prof. W. Fushchych)

• Oleksii Rebenko, Equations for the coefficient functions of the scattering matrix in quantum electrodynamics
  (Supervisor: Prof. D. Petryna)

• Volodymyr Koshmanenko, Some problems of the axiomatic approach in quantum field theory
  (Supervisor: Prof. Yu. Berezanskyi)

Master Theses

• Sofiia Huraka, Group classification of differential equations: algebraic approach
  (Supervisor: Dr. V. Boyko)

• Serhii Koval, Point and generalized symmetries of the heat equation
  (Supervisors: Prof. R. Popovych, Dr. V. Boyko)

• Renat Zhdanov, Theoretical group analysis of some equations of electrodynamics, quantum mechanics, optics and diffusion
  (Supervisor: Prof. W. Fushchych)

Back  to the Department's home page.