We carry out complete group classifications of two non-homogeneous generalizations of the
Kummer–Schwarz equation. In particular we prove that the symmetry algebra for one of …

This paper makes significant contributions to the study of a generalized form of the Duffing-
type equation. We derive the generating operators of the optimal system associated with this …

We obtain the complete classification of the Lie symmetry group and the optimal system's
generating operators associated with a particular case of the generalized Kummer-Schwarz …

We consider third-order ordinary differential equations (ODE), where second derivatives are
absent. We show that the algorithm of constructing first integrals for r-order ODE systems …

Analyzing the structure of generating functions associated to the contact symmetry condition
of third order scalar ordinary differential equations, constraints guaranteeing that the ODE …