Solutions of a Differential Equation Arising in Chemical Reactor Processes

Source abstract

Consider the boundary value problem $y'' + (1/x)y' + \beta f(y) = 0,y'(0) = 0,y(\tau ) = \tau$, where $\beta \geqq 0,\tau \geqq 0$. The function $f(y)$ satisfies certain properties which generalize the properties of $f_0 (y) = \exp ( - 1/| y |)$ . We are concerned with the number of solutions in various regions of the $\tau ,\beta$-plane.