Solution to the iterative differential equation $-\gamma g^{\prime }=g^{-1}$

Roland Miyamoto

Using a Picard-like operator $T$, we prove that the iterative differential equation $-\gamma g^{\prime }=g^{-1}$ with parameter $\gamma >0$ has a solution $g=h:[0,1]\to [0,1]$ for only one value…