On Avakumovic’s theorem for generalized Thomas-Fermi differential equations
On Avakumovic’s theorem for generalized Thomas-Fermi differential equations
For the generalized Thomas-Fermi differential equation (|x?|??1x?)? = q(t)|x|??1x, it is proved that if 1 ? ? < ? and q(t) is a regularly varying function of index ? with ? > ?? ? 1, then all positive solutions that tend to zero as t ? 1 are regularly varying …