Клас галілеєвоінваріантних систем звичайних диференціальних рівнянь другого порядку
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The article is devoted to the construction of a class of Galilean invariant systems of ordinary differential equations of the second order. For this, a symmetric analysis of the Newton-Lorentz equation was used, and based on the invariance of this equation, a class of systems of differential equations was constructed, a partial case of which is the Newton-Lorentz equation, which is invariant with respect to the Galilean algebra.
Information theory, алгебра Лі, алгебра Галілея, інваріантні системи, диференціальні рівняння, Astronomy, Physics, QC1-999, QA1-939, QB1-991, Theory and practice of education, Q350-390, LB5-3640, Mathematics
Information theory, алгебра Лі, алгебра Галілея, інваріантні системи, диференціальні рівняння, Astronomy, Physics, QC1-999, QA1-939, QB1-991, Theory and practice of education, Q350-390, LB5-3640, Mathematics
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