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#### Noether's theorem and first integrals of ordinary differential equations.

(1997)

The Lie theory of extended groups is a practical tool in the analysis of differential equations, particularly in the construction of solutions. A formalism of the Lie theory is given and contrasted with Noether's theorem ...

#### Ermakov systems : a group theoretic approach.

(1993)

The physical world is, for the most part, modelled using second order ordinary differential equations. The time-dependent simple harmonic oscillator and the Ermakov-Pinney equation (which together form an Ermakov system) ...

#### Lie symmetries of junction conditions for radiating stars.

(2011)

We consider shear-free radiating spherical stars in general relativity. In particular we study the junction condition relating the pressure to the heat
flux at the boundary of the star. This is a nonlinear equation in ...