The monotonicity rules for the ratio of two Laplace transforms with applications

Zhen-Hang Yang, Jing-Feng Tian

Let $f$ and $g$ be both continuous functions on $\left(0,\infty \right)$ with $g\left(t\right)>0$ for $t\in \left(0,\infty \right)$ and let $ F\left( x\right) =\mathcal{L}\le…