Ekvivalence diferenciálních rovnic a symetrie - poznámka

The equivalence of differential equations and symmetries - remark

článek ve sborníku ve WoS nebo Scopus

en

By applying the moving frames to the Monge equation $y'=f(x,y,z_1,\ldots,z_m),$ with arrangement $z_i(x)=y_i(\xi_i(x)),L_i(x)=M_i(\xi_i(x)),$ we obtain a large hierarchy of classes of differential equations of the first order with deviations which admit the transformation $\bar y(\varphi(x))=L(x)y(x).$

Použitím metody pohyblivého reperu na Mongeovu rovnici $y'=f(x,y,z_1,\ldots,z_m),$ se vztahy $z_i(x)=y_i(\xi_i(x)),L_i(x)=M_i(\xi_i(x)),$ získáme velkou strukturu tříd diferenciálních rovnic prvního řádu s odchýlenými argumenty, které dovolují transformace tvaru $\bar y(\varphi(x))=L(x)y(x).$

By applying the moving frames to the Monge equation $y'=f(x,y,z_1,\ldots,z_m),$ with arrangement $z_i(x)=y_i(\xi_i(x)),L_i(x)=M_i(\xi_i(x)),$ we obtain a large hierarchy of classes of differential equations of the first order with deviations which admit the transformation $\bar y(\varphi(x))=L(x)y(x).$

differential equations, transformations, moving frames, the equivalence problem, symmetry

01.01.2002

ECON publishing, s.r.o.

Brno

80-86433-16-1

1. mezinárodní matematický workshop

1–2

2