This is a preview. Log in through your library . Abstract The nonlinear second order differential equation satisfied by the homogeneous function y = [ aum + mbujv n + cvm ]k/m, m = j + n, is obtained.

A homogeneous linear difference equation with constant coefficients over a locally compact abelian group $G$ is an equation of the form $\sum^n_{j=1} c_jf (t_jx) = 0 ...