20 citations · 36 across the 5 of their papers we have counts for
5 papers
Point-invariant classes of the third order ordinary differential equations
Vera V. Dmitrieva
Point transformations of the 3-rd order ordinary differential equations are considered. Special classes of ordinary differential equations that are invariant under the general poin…
On a point symmetry analysis for generalized diffusion type equations
V. V. Dmitrieva, E. G. Neufeld, R. A. Sharipov +1
Generalized diffusion type equations are considered and point symmetry analysis is applied to them. The equations with extremal order point symmetry algebras are described. Some ol…
On the point transformations for the second order differential equations. I
V. V. Dmitrieva, R. A. Sharipov
Point transformations for the ordinary differential equations of the form are considered. Some classical results are resumed.…
Dynamical systems accepting the normal shift on an arbitrary Riemannian manifold
A. Yu. Boldin, V. V. Dmitrieva, S. S. Safin +1
Newtonian dynamical systems which accept the normal shift on an arbitrary Riemannian manifold are considered. For them the determinating equations making the weak normality conditi…
Complete normality conditions for the dynamical systems on Riemannian manifolds
A. Yu. Boldin, A. A. Bronnikov, V. V. Dmitrieva +1
New additional equations for the Newtonian dynamical systems on Riemannian manifolds are found. They supplement the previously found weak normality conditions up to the complete no…