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<!doctype html public "-//w3c//dtd html 4.0 transitional//en"> <html> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta name="GENERATOR" content="Mozilla/4.7 [en] (WinNT; I) [Netscape]"> <meta name="KeyWords" content="science, mathematics, mathematical physics"> <title>Theses</title> <style> body { background: #D8BFD8; max-width: 900px; margin: 10px auto; padding: 30px; } h3{ color: #4B0082; } h1{ color: #5d188f; text-shadow: 2px 2px #F0C550; } h2{ color: #4B0082; padding-bottom: 20px; margin-bottom: 20px; border-bottom: 2px solid #9370DB; } table{ width: 100%; border: 2px solid #4d057f; background: #ebbeeb; margin: auto; text-align: right; <!--background-image:url(168.jpg);--> } .stroke { color: #4B0082; font: 2em Arial, sans-serif; text-shadow: red 0 0 2px; } .block1{ box-shadow: inset 0 0 12px 8px rgba(0,0,0,.6); width: 105px; height: 123px; background: url(emblem6.jpg) 0 0 no-repeat; } </style> </head> <body> <table <!--Создаём строку таблицы--> <tr> <!--Создаём столбец таблицы--> <th> <!--<img SRC="emblem6.jpg" height=100 width=83>--> <div class="block1"> </div> </th> <th> <h3>Institute of Mathematics of NASU</h3> <h1>The Department of Mathematical Physics</h1> <!--<p class="stroke">The Department of Mathematical Physics</p>--> <!--Закрываем таблицу--> </th> <th> <br><font size=+1> <a href="https://www.imath.kiev.ua/~appmath/index.html" target="text">main page</a></font> <br><font size=+1> <a target="_blank" href="https://www.imath.kiev.ua/~appmath/sstaff.html" target="text">people</a></font> <br><font size=+1> <a target="_blank" href="https://www.imath.kiev.ua/~sigma/" target="text">SIGMA</a></font> <!--<br><font size=+1> <a target="_blank" href="https://www.imath.kiev.ua/~appmath/links.html" target="text">symmetry links</a></font> <br><font size=+1> <a target="_blank" href="https://www.imath.kiev.ua/~appmath/conf-links.html" target="text">conferences</a></font> <br><font size=+1> <a target="_blank" href="https://www.imath.kiev.ua/~appmath/books-links.html" target="text">books</a></font>--> <br><font size=+1> <a target="_blank" href="https://www.imath.kiev.ua/?&lang=en" target="text">institute</a></font> </th> </tr> </table> <h2>D.Sc. Theses</h2> <font size=+1><b>2021</b></font> <ul> <li>Maryna Nesterenko, <a href="./Theses/Nesterenko2.pdf"> Realizations and contractions of Lie algebras, orbit-functions and quasicrystals</a></b> </br> (Consultant: Dr. V. Boyko)</li></br> </ul> <font size=+1><b>2020</b></font> <ul> <li>Olena Vaneeva, <a href="./Theses/Vaneeva2.pdf">Equivalence groupoids in group classification problems</a> </br>(Consultant: Prof. R. Popovych)</li></br> </ul> <font size=+1><b>2018</b></font> <ul> <li>Vyacheslav Boyko, <a href="./Theses/Boyko.pdf">Generalized Casimir operators, singular reduction modules and symmetries of differential equations</a> </br>(Consultant: Prof. R. Popovych)</li></br> </ul> <font size=+1><b>2009</b></font> <ul> <li>Mykola Dudkin, <a href="./Theses/Dudkin2.pdf">Singularly perturbed normal operators and the complex moment problem</a> </br>(Consultant: Prof. V. Koshmanenko)</li></br> <li>Roman Popovych, <a href="./Theses/PopovychR.pdf">Classification problems of group analysis of differential equations</a> </br>(Consultant: Prof. A. Samoilenko)</li></br> </ul> <font size=+1><b>2003</b></font> <ul> <li>Victor Lahno, <a href="./Theses/Lahno2.pdf">Realizations of Lie algebras of local transformation groups and group analysis of nonlinear differential equations</a> </br>(Consultants: Prof. W. Fushchych, Prof. A. Samoilenko)</li></br> <li>Roman Cherniha, <a href="./Theses/Cherniha2.pdf">Nonlinear evolution equations: Galilean invariance, exact solutions and their applications</a> </br>(Consultant: Prof. W. Fushchych)</li></br> </ul> <font size=+1><b>1999</b></font> <ul> <li>Ivan Tsyfra, <a href="./Theses/Tsyfra2.pdf">Conditional invariance and reduction of nonlinear differential equations</a> </br>(Consultant: Prof. W. Fushchych)</li></br> </ul> <font size=+1><b>1997</b></font> <ul> <li>Vasyl Fedorchuk, <a href="./Theses/Fedorchuk2.pdf">Invariants of subgroups of the Poincare group and symmetric reduction of nonlinear five-dimensional equations of mathematical physics</a> </br>(Consultant: Prof. W. Fushchych)</li></br> </ul> <font size=+1><b>1994</b></font> <ul> <li>Valentyn Tychynin, <a href="./Theses/Tychynin2.pdf">Nonlocal symmetries and solutions of some classes of nonlinear equations of mathematical physics</a> </br>(Consultant: Prof. W. Fushchych)</li></br> </ul> <font size=+1><b>1993</b></font> <ul> <li>Anatolii Galitsyn, <a href="./Theses/Galitsyn2.pdf">Investigation of mathematical models of some special modes nonstationary heat and mass transfer</a> </br> <li>Mykola Serov, <a href="./Theses/Serov2.pdf">Conditional symmetry of nonlinear wave equations</a> </br>(Consultant: Prof. W. Fushchych)</li></br> </ul> <font size=+1><b>1992</b></font> <ul> <li>Renat Zhdanov, <a href="./Theses/Zhdanov2.pdf">Symmetry, reductions and exact solutions of nonlinear spinor equations</a> </br>(Consultant: Prof. W. Fushchych)</li></br> <li>Natalia Zorii, <a href="./Theses/Zorii2.pdf">Space condensers, noncompactness, potentials</a> </br>(Consultant: Prof. P. Tamrazov)</li></br> </ul> <font size=+1><b>1991</b></font> <ul> <li>Valerii Samoilenko, <a href="./Theses/Samoilenko2.pdf">Analysis of nonlinear dynamic systems and their small deformations on functional manifolds</a> </br> </ul> <font size=+1><b>1983</b></font> <ul> <li>Volodymyr Koshmanenko, <a href="./Theses/Koshmanenko2.pdf">Scattering problem in terms of bilinear functionals</a> </br>(Consultant: Prof. Yu. Berezansky)</li></br> <li>Oleksii Rebenko, <a href="./Theses/Rebenko2.pdf"> Investigation of quantum field and classical statistical systems by methods of Euclidean field theory</a> </br>(Consultant: Prof. D. Petryna)</li></br> </ul> <h2>Ph.D. Theses</h2> <font size=+1><b>2024</b></font> <ul> <li>Oleksandra Vinnichenko, <a href="./Theses/Vinnichenko1.pdf">Geometric and algebraic properties of dispersionless Nizhnik equation</a></br>(Supervisors: Prof. R. Popovych, Dr. V. Boyko)</li></br> </ul> <font size=+1><b>2023</b></font> <ul> <li>Oleksandra Lokaziuk, <a href="./Theses/Lokaziuk.pdf">Realizations of Lie algebras on line and group classification of differential equations</a></br>(Supervisors: Dr. V. Boyko, Prof. R. Popovych)</li></br> <li>Yevhenii Chapovskyi, <a href="./Theses/Chapovskyi1.pdf">Nilpotent and solvable Lie algebras of derivations of polynomial rings</a></br>(Supervisor: Prof. A. Petravchuk)</li></br> </ul> <font size=+1><b>2021</b></font> <ul> <li>Dmytro Popovych, <a href="./Theses/PopovychD.pdf">Generalizations of Inönü–Wigner contractions and Lie-orthogonal operators</a></br>(Supervisor: Prof. A. Petravchuk)</li></br> <li>Oksana Satur, <a href="./Theses/Satur.pdf">Generalizations of Inönü–Analysis of trajectories behavior in models of complex dynamical systems with attractive interaction</a></br>(Supervisor: Prof. V. Koshmanenko)</li></br> </ul> <font size=+1><b>2020</b></font> <ul> <li>Stanislav Opanasenko, <a href="./Theses/Opanasenko.pdf">Generalized equivalence groups and extended symmetry analysis of differential equations</a></br>(Supervisor: Prof. R. Popovych)</li></br> </ul> <font size=+1><b>2017</b></font> <ul> <li>Celestin Kurujyibwami, <a href="./Theses/Kurujyibwami.pdf">Admissible transformations and the group classification of Schrödinger equations</a></br>(Supervisors: Prof. P. Basarab-Horwath, Prof. R. Popovych)</li></br> </ul> <font size=+1><b>2016</b></font> <ul> <li>Oleksandr Pocheketa, <a href="./Theses/Pocheketa.pdf">Extended group analysis of generalized Burgers equations</a></br>(Supervisor: Prof. R. Popovych)</li></br> <li>Vira Boluh, <a href="./Theses/Boluh.pdf">Behavior of correlational and thermodynamic functions of continuous statistical systems</a></br>(Supervisor: Prof. O. Rebenko)</li></br> </ul> <font size=+1><b>2014</b></font> <ul> <li>Elsa Maria Dos Santos Cardoso-Bihlo, <a href="./Theses/Cardoso-Bihlo.pdf">Group analysis and invariant parameterization in dynamic meteorology</a> </br>(Supervisor: Prof. R. Popovych)</li></br> <li>Yuri Karadzhov, <a href="./Theses/Karadzhov.pdf">Classification of form-invariant systems of Schrödinger equations</a></br>(Supervisor: Prof. A. Nikitin)</li></br> </ul> <font size=+1><b>2013</b></font> <ul> <li>Oksana Kuriksha, <a href="./Theses/Kuriksha.pdf">Group analysis and exact solutions of systems of equations of mathematical physics, invariant with respect to low-dimensional Lie algebras </a> </br>(Supervisor: Prof. A. Nikitin)</li></br> <li>Vasyl’ Davydovych, <a href="./Theses/Davydovych.pdf">Systems of reaction-diffusion equations: conditional symmetries, exact solutions and their properties</a> </br>(Supervisor: Prof. R. Cherniha)</li></br> </ul> <font size=+1><b>2010</b></font> <ul> <li>Alexander Bihlo, <a href="./Theses/Bihlo.pdf">Symmetry methods in the atmospheric sciences</a></br>(Supervisors: Prof. M. Hantel, Prof. R. Popovych)</li></br> </ul> <font size=+1><b>2008</b></font> <ul> <li>Olena Vaneeva, <a href="./Theses/Vaneeva1.pdf">Group classification and nonclassical symmetries of reaction–diffusion equations</a></br>(Supervisor: Prof. R. Popovych)</li></br> </ul> <font size=+1><b>2007</b></font> <ul> <li>Maryna Nesterenko, <a href="./Theses/Nesterenko1.pdf">Contractions and realizations of Lie algebras</a></br>(Supervisors: Prof. A. Nikitin, Prof. R. Popovych)</li></br> </ul> <font size=+1><b>2006</b></font> <ul> <li>Tetyana Barannyk, <a href="./Theses/Barannyk.pdf">Symmetry and exact solutions of nonlinear diffusion equations </a></br>(Supervisor: Prof. A. Nikitin)</li></br> </ul> <font size=+1><b>2005</b></font> <ul> <li>Maxim Lutfullin, <a href="./Theses/Lutfullin.pdf">Realizations of low-dimensional Lie algebras and invariant systems of nonlinear differential equations</a></br>(Supervisors: Prof. A. Nikitin, Prof. R. Popovych)</li></br> </ul> <font size=+1><b>2004</b></font> <ul> <li>Natalia Ivanova, <a href="./Theses/Ivanova.pdf">Classification problems for diffusion–convection and Schrödinger equations</a></br>(Supervisors: Prof. A. Nikitin, Prof. R. Popovych)</li></br> </ul> <font size=+1><b>2000</b></font> <ul> <li>Alexander Zhalij, <a href="./Theses/Zhalij.pdf">Symmetry and separation of variables in multi-dimensional parabolic type equations of mathematical physics </a></br>(Supervisor: Prof. R. Zhdanov)</li></br> <li>Arthur Sergyeyev, <a href="./Theses/Sergyeyev.pdf">Higher symmetries and parasupersymmetries of evolution equations </a></br>(Supervisor: Prof. A. Nikitin)</li></br> </ul> <font size=+1><b>1998</b></font> <ul> <li>Olena Panchak, <a href="./Theses/Panchak.pdf">Reduction and exact solutions of the nonlinear complex wave equations </a></br>(Supervisor: Prof. R. Zhdanov)</li></br> </ul> <font size=+1><b>1997</b></font> <ul> <li>Lyudmyla Barannyk, <a href="./Theses/BarannykL.pdf">Symmetry reduction of systems of nonlinear equations of Schrödinger and hydrodynamic types </a></br>(Supervisor: Prof. A. Nikitin)</li></br> <li>Zoya Symenoh, <a href="./Theses/Symenoh.pdf">Symmetry analysis of Galilei-invariant differential equations of Schrödinger type </a></br>(Supervisors: Prof. W. Fushchych, Prof. A. Nikitin)</li></br> </ul> <font size=+1><b>1996</b></font> <ul> <li>Violeta Tretynyk, <a href="./Theses/Tret.pdf">Hidden symmetries of two-particle equations</a></br>(Supervisor: Prof. A. Nikitin)</li></br> <li>Olena Roman, <a href="./Theses/Roman.pdf">Symmetry and reduction of nonlinear wave equations</a> </br>(Supervisor: Prof. W. Fushchych)</li></br> </ul> <font size=+1><b>1995</b></font> <ul> <li>Vyacheslav Boyko, <a href="./Theses/Boyko1.pdf">Symmetries of nonlinear hydrodynamic-type equations</a></br>(Supervisor: Prof. W. Fushchych)</li></br> </ul> <font size=+1><b>1992</b></font> <ul> <li>Roman Popovych, <a href="./Theses/PopovychR1.pdf">Symmetry reduction and exact solutions of the Navier-Stokes equations </a></br>(Supervisor: Prof. W. Fushchych)</li></br> </ul> <font size=+1><b>1991</b></font> <ul> <li>Stanislav Spichak, <a href="./Theses/Spichak.pdf">Symmetry analysis of some systems of nonlinear spinor equations </a></br>(Supervisor: Prof. W. Fushchych)</li></br> <li>Viktor Repeta, <a href="./Theses/Repeta.pdf">Conditional symmetry and reduction of some nonlinear wave equations </a></br>(Supervisor: Prof. W. Fushchych)</li></br> </ul> <font size=+1><b>1990</b></font> <ul> <li>Volodymyr Smaliy, <a href="./Theses/Smaliy.pdf">Symmetric analysis and exact solutions of nonlinear equations for vector field </a></br>(Supervisor: Prof. W. Fushchych)</li></br> </ul> <font size=+1><b>1989</b></font> <ul> <li>Valeriy Stognii, <a href="./Theses/Stognii.pdf">Theoretic-algebraic analysis of some differential and integro-differential equations</a></br>(Supervisor: Prof. W. Fushchych)</li></br> <li>Valentin Marchenko, <a href="./Theses/Marchenko.pdf">Subgroup structure of generalized Galilean groups and reduction of some wave equations</a></br>(Supervisor: Prof. W. Fushchych)</li></br> </ul> <font size=+1><b>1988</b></font> <ul> <li>Victor Lahno, <a href="./Theses/Lahno1.pdf">Subgroup structure of Poincaré group <i>P</i>(2,3) and symmetry reduction of wave equations</a></br>(Supervisor: Prof. W. Fushchych)</li></br> <li>Irina Yehorchenko, <a href="./Theses/Yehorchenko.pdf">Symmetry analysis of nonlinear equations for complex scalar and vector fields</a></br>(Supervisor: Prof. W. Fushchych)</li></br> </ul> <font size=+1><b>1986</b></font> <ul> <li>Volodymyr Kornyak, <a href="./Theses/Kornyak.pdf">Application of computer for investigation of symmetry properties of some equations of theoretical physics</a></br>(Supervisor: Prof. W. Fushchych)</li></br> <li>Ihor Revenko, <a href="./Theses/Revenko1.pdf">Systems of ordinary differential equations that are invariant with respect to Galileo and Poincare groups</a></br>(Supervisor: Prof. W. Fushchych)</li></br> <li>Ivan Tsyfra, <a href="./Theses/Tsyfra1.pdf">Symmetry properties of nonlinear equations for electromagnetic and spinor fields</a></br>(Supervisor: Prof. W. Fushchych)</li></br> </ul> <font size=+1><b>1984</b></font> <ul> <li>Nikolai Selekhman, <a href="./Theses/Selekhman.pdf">Group-theoretic properties of some integro-differential equations</a></br>(Supervisor: Prof. W. Fushchych)</li></br> </ul> <font size=+1><b>1983</b></font> <ul> <li>Sadulla Batyrov, <a href="./Theses/Batyrov.pdf">Group-theoretic analysis of some parabolic partial differential equations</a></br>(Supervisor: Prof. W. Fushchych)</li></br> <li>Vasyl Fedorchuk, <a href="./Theses/Fedorchuk1.pdf">Subgroup structure of the generalized Poincare group P(1,4) and exact solutions of some wave equations</a></br>(Supervisor: Prof. W. Fushchych)</li></br> <li>Mykola Serov, <a href="./Theses/Serov1.pdf">Group properties and exact solutions of nonlinear hyperbolic equations</a></br>(Supervisor: Prof. W. Fushchych)</li></br> <li>Volodymyr Shtelen, <a href="./Theses/Shtelen1.pdf">Symmetry and exact solutions of some systems of nonlinear differential equations of parabolic and hyperbolic type</a></br>(Supervisor: Prof. W. Fushchych)</li></br> <li>Valentyn Tychynin, <a href="./Theses/Tychynin1.pdf">Nonlocal linearization and group properties of equations of hyperbolic and parabolic types</a></br>(Supervisor: Prof. W. Fushchych)</li></br> </ul> <font size=+1><b>1982</b></font> <ul> <li>Valerii Samoilenko, <a href="./Theses/Samoilenko1.pdf">Study of the inverse periodic problem for nonlinear differential and differential-difference equations and the averaging method</a></br>(Supervisor: Prof. Yu. Mitropolskiy)</li></br> </ul> <font size=+1><b>1979</b></font> <ul> <li>Viktor Nakonechnyi, <a href="./Theses/Nakonechnyi1.pdf">Group-theoretical properties of some systems of differential equations of mathematical physics</a></br>(Supervisor: Prof. W. Fushchych)</li></br> </ul> <font size=+1><b>1977</b></font> <ul> <li>Yurii Seheda, <a href="./Thesis/Seheda.pdf">Group-theoretic properties of some equations relativistic quantum mechanics</a></br>(Supervisor: Prof. W. Fushchych)</li></br> <li>Viktor Salogub, <a href="./Theses/Salogub.pdf">Equations invariant under the Galilean group</a></br>(Supervisor: Prof. W. Fushchych)</li></br> </ul> <font size=+1><b>1976</b></font> <ul> <li>Ivan Yuryk, <a href="./Theses/Yuryk.pdf">Reduction of representations of generalized Poincaré groups</a></br>(Supervisor: Prof. W. Fushchych)</li></br> </ul> <font size=+1><b>1974</b></font> <ul> <li>Anatoly Nikitin, <a href="./Theses/Nikitin.pdf">Non-Lagrangian equations for particles with arbitrary spin</a></br>(Supervisor: Prof. W. Fushchych)</li></br> </ul> <font size=+1><b>1972</b></font> <ul> <li>Oleksii Rebenko, <a href="./Theses/Rebenko1.pdf"> Equations for the coefficient functions of the scattering matrix in quantum electrodynamics</a></br>(Supervisor: Prof. D. Petryna)</li></br> </ul> <font size=+1><b>1970</b></font> <ul> <li>Volodymyr Koshmanenko, <a href="./Theses/Koshmanenko1.pdf"> Some problems of the axiomatic approach in quantum field theory</a></br>(Supervisor: Prof. Yu. Berezanskyi)</li></br> </ul> <h2>Master Theses</h2> <font size=+1><b>2024</b></font> <ul> <li>Sofiia Huraka, <a href="./Theses/Huraka0.pdf">Group classification of differential equations: algebraic approach</a></br>(Supervisor: Dr. V. Boyko)</li></br> </ul> <font size=+1><b>2023</b></font> <ul> <li>Serhii Koval, <a href="./Theses/Koval0.pdf">Point and generalized symmetries of the heat equation</a></br>(Supervisors: Prof. R. Popovych, Dr. V. Boyko)</li></br> </ul> <font size=+1><b>1984</b></font> <ul> <li>Renat Zhdanov, <a href="./Theses/Zhdanov0.pdf">Theoretical group analysis of some equations of electrodynamics, quantum mechanics, optics and diffusion</a></br>(Supervisor: Prof. W. Fushchych)</li></br> </ul> <p><font size=+1><a href="http://www.imath.kiev.ua/~appmath/index.html">Back</a> to the Department's home page.</font> <br> </body> </html> <!--(Supervisor: Prof. W. Fushchych)-->
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