Vasyl FEDORCHUK 1 and Volodymyr FEDORCHUK 2
1Institute of Mathematics,
Podchorazych 2,
30-084 Krakow,
POLAND
and
Institute APMM of NAS of Ukraine,
3b Naukova Str.,
79601 Lviv,
UKRAINE
and
2Ivan Franko Lviv National University,
1 Universytetska Str.,
79000 Lviv,
UKRAINE
E-mail: fedorchuk@ap.krakow.pl, fedorchuk@gmail.com

Symmetry Reduction of Some Classes of the First-Order Differential Equations in the Space $M(1,3) \times R(u)$

Abstract:
The symmetry reduction for some classes of the first-order differential equations (in the space $M(1,3) \times R(u)$) invariant under splitting subgroups of the Poincare group P(1,4) to classes of differential equations with fewer independent variables is made.